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Fair Value Measurements for Operating Entities and Consolidated Funds - Assets and Liabilities at Fair Value on a Recurring Basis (Details) - USD ($)
$ in Thousands
Mar. 31, 2020
Dec. 31, 2019
Mar. 31, 2019
Dec. 31, 2018
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value $ 83,867 $ 62,977    
Other investments 163,274 185,722    
Other Investments, Consolidated Funds 149,689 175,769    
Investments 1,545,664 2,439,131    
Securities sold, not yet purchased, at fair value 527,471 451,836    
Securities sold, not yet purchased, at fair value 527,471 451,836    
Payable for derivative contracts, at fair value 72,385 60,761    
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, Low 1,000 1,300    
Business Combination, Contingent Consideration Arrangements, Range of Outcomes, Value, High $ 40,000 $ 40,000    
Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Percentage of Total Assets at Fair Value 79.40% 95.90%    
Percentage of Total Liabilities at Fair Value 82.70% 87.30%    
Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Percentage of Total Assets at Fair Value 8.30% 1.70%    
Percentage of Total Liabilities at Fair Value 12.20% 6.00%    
Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Percentage of Total Assets at Fair Value 12.30% 2.30%    
Balance Liability Value $ 32,760 $ 36,766    
Percentage of Total Liabilities at Fair Value 5.10% 6.70%    
Contingent liability payable        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Balance Liability Value $ 28,658 $ 30,896 $ 29,536 $ 3,070
Futures        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 87 217    
Swaps        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 24,523 2,911    
Payable for derivative contracts, at fair value 9,469 23,169    
Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value [1] 58,334 60,066    
Corporate Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Balance Liability Value 800 1,000    
Portfolio Funds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Other investments 113,627 [2] 114,504    
Other Investments, Consolidated Funds 149,689 [2] 175,769    
Carried interest [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Other investments 20,729 [2] 30,360    
Equity Method Investments        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Other investments 28,918 40,858    
Fair Value, Measurements, Recurring        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring (Deprecated 2018-01-31) 1,232,701 2,077,640    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 646,580 548,262    
Fair Value, Measurements, Recurring | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring (Deprecated 2018-01-31) 978,374 1,993,268    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 535,014 478,524    
Fair Value, Measurements, Recurring | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring (Deprecated 2018-01-31) 102,437 35,940    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 78,806 32,972    
Fair Value, Measurements, Recurring | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Assets, Fair Value Disclosure, Recurring (Deprecated 2018-01-31) 151,890 48,432    
Investment Sold, Not yet Purchased and Derivative Liability, at Fair Value 32,760 36,766    
Fair Value, Measurements, Recurring | Common Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 460,059 425,448    
Fair Value, Measurements, Recurring | Common Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 460,059 425,448    
Fair Value, Measurements, Recurring | Common Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Common Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Corporate Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 4,402 5,933    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 3,602 4,933    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 800 1,000    
Fair Value, Measurements, Recurring | Preferred Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 6,405 3,686    
Fair Value, Measurements, Recurring | Preferred Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 6,405 3,686    
Fair Value, Measurements, Recurring | Preferred Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Preferred Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Warrants and Rights [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 8,532 14,819    
Fair Value, Measurements, Recurring | Warrants and Rights [Member] | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 8,532 14,819    
Fair Value, Measurements, Recurring | Warrants and Rights [Member] | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Warrants and Rights [Member] | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Contingent liability payable        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Liability 28,658 [3] 30,896    
Fair Value, Measurements, Recurring | Contingent liability payable | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Liability 0 [3] 0 [4]    
Fair Value, Measurements, Recurring | Contingent liability payable | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Liability 0 [3] 0 [4]    
Fair Value, Measurements, Recurring | Contingent liability payable | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Business Combination, Contingent Consideration, Liability 28,658 [3] 30,896 [4]    
Fair Value, Measurements, Recurring | Futures | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 87 217    
Fair Value, Measurements, Recurring | Futures | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 87 217    
Fair Value, Measurements, Recurring | Futures | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Futures | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Currency forward        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 1,010      
Fair Value, Measurements, Recurring | Currency forward | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0      
Fair Value, Measurements, Recurring | Currency forward | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 1,010      
Fair Value, Measurements, Recurring | Currency forward | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0      
Fair Value, Measurements, Recurring | Currency forward | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 1,883 851    
Fair Value, Measurements, Recurring | Currency forward | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Currency forward | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 1,883 851    
Fair Value, Measurements, Recurring | Currency forward | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Swaps        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 24,523      
Fair Value, Measurements, Recurring | Swaps | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0      
Fair Value, Measurements, Recurring | Swaps | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 24,523      
Fair Value, Measurements, Recurring | Swaps | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0      
Fair Value, Measurements, Recurring | Swaps | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 9,469 23,169    
Fair Value, Measurements, Recurring | Swaps | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Swaps | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 9,469 23,169    
Fair Value, Measurements, Recurring | Swaps | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 58,334      
Fair Value, Measurements, Recurring | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 58,002      
Fair Value, Measurements, Recurring | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0      
Fair Value, Measurements, Recurring | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 332      
Fair Value, Measurements, Recurring | Options | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 60,946 36,524    
Fair Value, Measurements, Recurring | Options | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 59,144 33,604    
Fair Value, Measurements, Recurring | Options | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Options | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 1,802 2,920    
Fair Value, Measurements, Recurring | Government Securities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 61,198 15,916    
Fair Value, Measurements, Recurring | Government Securities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 14,625 15,916    
Fair Value, Measurements, Recurring | Government Securities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 46,573 0    
Fair Value, Measurements, Recurring | Government Securities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Preferred Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 14,700 12,656    
Fair Value, Measurements, Recurring | Preferred Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 6,500 4,821    
Fair Value, Measurements, Recurring | Preferred Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Preferred Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 8,200 7,835    
Fair Value, Measurements, Recurring | Common Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 648,134 1,546,484    
Fair Value, Measurements, Recurring | Common Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 630,117 1,527,769    
Fair Value, Measurements, Recurring | Common Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 507 1,249    
Fair Value, Measurements, Recurring | Common Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 17,510 17,466    
Fair Value, Measurements, Recurring | Convertible Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 2,786 2,500    
Fair Value, Measurements, Recurring | Convertible Bonds | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Convertible Bonds | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Convertible Bonds | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 2,786 2,500    
Fair Value, Measurements, Recurring | Corporate Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 16,089 25,500    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 13,277 23,079    
Fair Value, Measurements, Recurring | Corporate Bonds | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 2,812 2,421    
Fair Value, Measurements, Recurring | Trade Claims        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 9,648 7,320    
Fair Value, Measurements, Recurring | Trade Claims | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Trade Claims | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Trade Claims | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 9,648 7,320    
Fair Value, Measurements, Recurring | Term loan        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   1,067    
Fair Value, Measurements, Recurring | Term loan | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   0    
Fair Value, Measurements, Recurring | Term loan | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   1,067    
Fair Value, Measurements, Recurring | Term loan | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading   0    
Fair Value, Measurements, Recurring | Warrants and Rights [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 23,491 22,109    
Fair Value, Measurements, Recurring | Warrants and Rights [Member] | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 22,893 21,515    
Fair Value, Measurements, Recurring | Warrants and Rights [Member] | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Warrants and Rights [Member] | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 598 594    
Fair Value, Measurements, Recurring | Derivative Assets | Swaps        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   2,911    
Fair Value, Measurements, Recurring | Derivative Assets | Swaps | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   0    
Fair Value, Measurements, Recurring | Derivative Assets | Swaps | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   2,911    
Fair Value, Measurements, Recurring | Derivative Assets | Swaps | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   0    
Fair Value, Measurements, Recurring | Derivative Assets | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   60,066    
Fair Value, Measurements, Recurring | Derivative Assets | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   59,730    
Fair Value, Measurements, Recurring | Derivative Assets | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   0    
Fair Value, Measurements, Recurring | Derivative Assets | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value   336    
Fair Value, Measurements, Recurring | Operating Companies [Member] | US Government Debt Securities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 48,073 1,950    
Fair Value, Measurements, Recurring | Operating Companies [Member] | US Government Debt Securities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 0 0    
Fair Value, Measurements, Recurring | Operating Companies [Member] | US Government Debt Securities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 46,573 0    
Fair Value, Measurements, Recurring | Operating Companies [Member] | US Government Debt Securities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Securities sold, not yet purchased, at fair value 1,500 1,950    
Fair Value, Measurements, Recurring | Consolidated Funds | Currency forward | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 186 88    
Fair Value, Measurements, Recurring | Consolidated Funds | Currency forward | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Currency forward | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 186 88    
Fair Value, Measurements, Recurring | Consolidated Funds | Currency forward | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Options | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 787 750    
Fair Value, Measurements, Recurring | Consolidated Funds | Options | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 787 750    
Fair Value, Measurements, Recurring | Consolidated Funds | Options | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Options | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Equity Swap | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 17,093 3,931    
Fair Value, Measurements, Recurring | Consolidated Funds | Equity Swap | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Equity Swap | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 17,093 3,931    
Fair Value, Measurements, Recurring | Consolidated Funds | Equity Swap | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Payable for derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Government Securities        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 24,998 161,607    
Fair Value, Measurements, Recurring | Consolidated Funds | Government Securities | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 24,998 161,607    
Fair Value, Measurements, Recurring | Consolidated Funds | Government Securities | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Government Securities | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Preferred Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 4,393 4,393    
Fair Value, Measurements, Recurring | Consolidated Funds | Preferred Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Preferred Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Preferred Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 4,393 4,393    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 317,839 200,306    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 217,839 200,306    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Common Stock | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 100,000 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Corporate Bonds        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 2,655 3,405    
Fair Value, Measurements, Recurring | Consolidated Funds | Corporate Bonds | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Corporate Bonds | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 2,655 3,405    
Fair Value, Measurements, Recurring | Consolidated Funds | Corporate Bonds | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Debt Securities, Trading 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights [Member]        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 5,611 5,567    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights [Member] | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights [Member] | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Warrants and Rights [Member] | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Trading Securities, Equity 5,611 5,567    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Currency forward        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 3,621 3,302    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Currency forward | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Currency forward | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 3,621 3,302    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Currency forward | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Options        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 3,400 1,604    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Options | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 3,400 1,604    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Options | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Options | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Equity Swap        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 10,271 927    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Equity Swap | Level 1        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 0 0    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Equity Swap | Level 2        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value 10,271 927    
Fair Value, Measurements, Recurring | Consolidated Funds | Derivative Assets | Equity Swap | Level 3        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]        
Receivable on derivative contracts, at fair value $ 0 $ 0    
[1] Includes the volume of contracts for index, equity, commodity future and cash conversion options.
[2] In accordance with US GAAP, certain investments are measured at fair value using the net asset value per share (or its equivalent) as a practical expedient. Carried interest in portfolio funds have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the condensed consolidated statement of financial condition.
[3] In accordance with the terms of the purchase agreements for acquisitions that closed during the second quarter of 2016 and the first quarter of 2019, the Company is required to pay to the sellers a portion of future net income and/or revenues of the acquired businesses, if certain targets are achieved through the periods ended December 31, 2019 and December 31, 2023, respectively. For the acquisition that closed during 2016, the Company estimated the contingent consideration liability using the income approach (discounted cash flow method) which requires the Company to make estimates and assumptions regarding the future cash flows and profits. For the acquisition that closed during 2019, the Company estimated the contingent consideration liability using the present value of the Monte Carlo simulated revenue. Changes in these estimates and assumptions could have a significant impact on the amounts recognized. The undiscounted amounts as of March 31, 2020 can range from $1.0 million to $40.0 million.
[4] The undiscounted amounts as of December 31, 2019 can range from $1.3 million to $40.0 million.