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Assets and Liabilities, at Fair Value - Financial Assets and Liabilities Measured at Fair Value (Details) - USD ($)
$ in Millions
Mar. 31, 2022
Sep. 30, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents $ 190.7 $ 14.1
Securities and other assets segregated under federal and other regulations 2,766.5 2,274.4
Financial instruments owned 4,156.2 4,354.6
Physical commodities inventory 547.4 447.5
Accounts payable and other accrued liabilities - contingent liabilities 335.2 305.1
Payable to broker-dealers, clearing organizations and counterparties 519.9 613.5
Financial instruments sold, not yet purchased 2,781.8 1,771.2
Fair Value, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 50.1 20.8
Securities and other assets segregated under federal and other regulations 190.7 14.1
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 746.8 1,070.6
Receivables from clients, net - Derivatives (15.5) 2.6
Financial instruments owned 4,156.2 4,354.6
Total assets at fair value 5,490.7 5,822.6
Payables to clients - Derivatives (546.1) 291.5
Total liabilities at fair value 2,289.2 2,078.2
Fair Value, Recurring | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 62.3 12.7
Fair Value, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties (10.3) 0.0
Fair Value, Recurring | Payables to Broker-dealers, Clearing Organizations and Counterparties    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 52.0 12.7
Fair Value, Recurring | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities - contingent liabilities 1.5 2.8
Fair Value, Recurring | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 362.4 359.9
Fair Value, Recurring | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1,236.0 527.0
Financial instruments sold, not yet purchased 1,155.1 436.1
Fair Value, Recurring | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 120.3 150.8
Financial instruments sold, not yet purchased 78.2 51.1
Fair Value, Recurring | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 176.2 433.1
Financial instruments sold, not yet purchased 1,018.1 851.2
Fair Value, Recurring | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 342.1 327.6
Financial instruments sold, not yet purchased 3.6  
Fair Value, Recurring | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1,989.2 2,599.8
Financial instruments sold, not yet purchased 38.9 63.4
Fair Value, Recurring | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 41.4 110.4
Fair Value, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 172.3 144.3
Financial instruments sold, not yet purchased 484.4 368.5
Fair Value, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 460.1  
Fair Value, Recurring | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 17.2 18.1
Financial instruments sold, not yet purchased   0.9
Fair Value, Recurring | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 3.5  
Fair Value, Recurring | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 26.9 21.4
Fair Value, Recurring | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 14.3 11.6
Fair Value, Recurring | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 24.3  
Fair Value, Recurring | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 20.3 10.5
Fair Value, Recurring | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 93.4 19.0
Fair Value, Recurring | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 15.5 12.2
Fair Value, Recurring | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 814.4 798.5
Fair Value, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net (176.5) 240.9
Fair Value, Recurring | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 25.5 13.9
Fair Value, Recurring | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 165.2 0.2
Fair Value, Recurring | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 6.7 7.9
Fair Value, Recurring | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 43.4 12.9
Fair Value, Recurring | Netting    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 0.0 0.0
Securities and other assets segregated under federal and other regulations 0.0 0.0
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net (10,386.7) (4,442.4)
Receivables from clients, net - Derivatives (667.6) (411.1)
Financial instruments owned (908.2) (500.4)
Total assets at fair value (11,962.5) (5,353.9)
Payables to clients - Derivatives (10,517.8) (4,278.4)
Financial instruments sold, not yet purchased (800.5) (335.0)
Total liabilities at fair value (11,853.0) (4,955.4)
Fair Value, Recurring | Netting | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties (58.0) (39.5)
Fair Value, Recurring | Netting | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties (476.7) (302.5)
Fair Value, Recurring | Netting | Payables to Broker-dealers, Clearing Organizations and Counterparties    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties (534.7) (342.0)
Fair Value, Recurring | Netting | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities - contingent liabilities 0.0 0.0
Fair Value, Recurring | Netting | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 0.0 0.0
Fair Value, Recurring | Netting | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Netting | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Netting | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Netting | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Netting | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Netting | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Netting | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned (908.2) (500.4)
Financial instruments sold, not yet purchased   (335.0)
Fair Value, Recurring | Netting | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased (800.5)  
Fair Value, Recurring | Netting | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased   0.0
Fair Value, Recurring | Netting | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Netting | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Netting | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Netting | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Netting | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Netting | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net (58.8) (40.1)
Fair Value, Recurring | Netting | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Netting | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Netting | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net (10,327.9) (4,402.3)
Fair Value, Recurring | Netting | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 0.0 0.0
Fair Value, Recurring | Netting | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 0.0 0.0
Fair Value, Recurring | Netting | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Netting | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 50.1 20.8
Securities and other assets segregated under federal and other regulations 190.7 14.1
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 10,562.4 5,286.5
Receivables from clients, net - Derivatives 62.2 0.0
Financial instruments owned 1,252.2 989.6
Total assets at fair value 12,217.7 6,422.2
Payables to clients - Derivatives 9,702.3 4,413.8
Financial instruments sold, not yet purchased 1,986.0 1,284.3
Total liabilities at fair value 11,777.7 5,761.2
Fair Value, Recurring | Level 1 | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 0.0 0.0
Fair Value, Recurring | Level 1 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 89.4 63.1
Fair Value, Recurring | Level 1 | Payables to Broker-dealers, Clearing Organizations and Counterparties    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 89.4 63.1
Fair Value, Recurring | Level 1 | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities - contingent liabilities 0.0 0.0
Fair Value, Recurring | Level 1 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 100.1 111.2
Fair Value, Recurring | Level 1 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1,016.6 512.4
Financial instruments sold, not yet purchased 963.6 429.9
Fair Value, Recurring | Level 1 | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Level 1 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 176.2 433.1
Financial instruments sold, not yet purchased 1,018.1 851.2
Fair Value, Recurring | Level 1 | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Level 1 | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Level 1 | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Level 1 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.8 0.6
Financial instruments sold, not yet purchased   3.2
Fair Value, Recurring | Level 1 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 4.3  
Fair Value, Recurring | Level 1 | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased   0.0
Fair Value, Recurring | Level 1 | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Level 1 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 26.9 21.4
Fair Value, Recurring | Level 1 | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 14.3 11.6
Fair Value, Recurring | Level 1 | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Level 1 | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 17.4 10.5
Fair Value, Recurring | Level 1 | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Level 1 | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 15.5 12.2
Fair Value, Recurring | Level 1 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 814.4 798.5
Fair Value, Recurring | Level 1 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 9,732.5 4,475.8
Fair Value, Recurring | Level 1 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 25.5 13.9
Fair Value, Recurring | Level 1 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 165.2 0.2
Fair Value, Recurring | Level 1 | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 6.7 7.9
Fair Value, Recurring | Level 1 | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 43.4 12.9
Fair Value, Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 0.0 0.0
Securities and other assets segregated under federal and other regulations 0.0 0.0
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 571.1 226.5
Receivables from clients, net - Derivatives 589.9 413.7
Financial instruments owned 3,812.2 3,865.4
Total assets at fair value 5,235.5 4,754.3
Payables to clients - Derivatives 269.4 156.1
Financial instruments sold, not yet purchased 1,596.3 821.9
Total liabilities at fair value 2,363.0 1,269.6
Fair Value, Recurring | Level 2 | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 120.3 52.2
Fair Value, Recurring | Level 2 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 377.0 239.4
Fair Value, Recurring | Level 2 | Payables to Broker-dealers, Clearing Organizations and Counterparties    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 497.3 291.6
Fair Value, Recurring | Level 2 | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities - contingent liabilities 0.0 0.0
Fair Value, Recurring | Level 2 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 262.3 248.7
Fair Value, Recurring | Level 2 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 219.4 14.6
Financial instruments sold, not yet purchased 191.5 6.2
Fair Value, Recurring | Level 2 | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 120.3 150.8
Financial instruments sold, not yet purchased 78.2 51.1
Fair Value, Recurring | Level 2 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Level 2 | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 342.1 327.6
Financial instruments sold, not yet purchased 3.6  
Fair Value, Recurring | Level 2 | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1,989.2 2,599.8
Financial instruments sold, not yet purchased 38.9 63.4
Fair Value, Recurring | Level 2 | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 41.4 110.4
Fair Value, Recurring | Level 2 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1,079.7 644.1
Financial instruments sold, not yet purchased   700.3
Fair Value, Recurring | Level 2 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 1,256.3  
Fair Value, Recurring | Level 2 | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 17.2 18.1
Financial instruments sold, not yet purchased   0.9
Fair Value, Recurring | Level 2 | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 3.5  
Fair Value, Recurring | Level 2 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Level 2 | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Level 2 | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 24.3  
Fair Value, Recurring | Level 2 | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 2.9 0.0
Fair Value, Recurring | Level 2 | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 152.2 59.1
Fair Value, Recurring | Level 2 | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Level 2 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Level 2 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 418.9 167.4
Fair Value, Recurring | Level 2 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 0.0 0.0
Fair Value, Recurring | Level 2 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 0.0 0.0
Fair Value, Recurring | Level 2 | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Level 2 | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 0.0 0.0
Securities and other assets segregated under federal and other regulations 0.0 0.0
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Receivables from clients, net - Derivatives
Financial instruments owned 0.0 0.0
Total assets at fair value 0.0 0.0
Payables to clients - Derivatives 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Total liabilities at fair value 1.5 2.8
Fair Value, Recurring | Level 3 | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 0.0 0.0
Fair Value, Recurring | Level 3 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 0.0 0.0
Fair Value, Recurring | Level 3 | Payables to Broker-dealers, Clearing Organizations and Counterparties    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties 0.0 0.0
Fair Value, Recurring | Level 3 | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities - contingent liabilities 1.5 2.8
Fair Value, Recurring | Level 3 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 0.0 0.0
Fair Value, Recurring | Level 3 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Level 3 | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Level 3 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Level 3 | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Level 3 | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased 0.0 0.0
Fair Value, Recurring | Level 3 | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Level 3 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased   0.0
Fair Value, Recurring | Level 3 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Level 3 | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Financial instruments sold, not yet purchased   0.0
Fair Value, Recurring | Level 3 | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Level 3 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Level 3 | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Level 3 | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 0.0  
Fair Value, Recurring | Level 3 | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 0.0
Fair Value, Recurring | Level 3 | TBA and forward settling securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Level 3 | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Level 3 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Level 3 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 0.0 0.0
Fair Value, Recurring | Level 3 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 0.0 0.0
Fair Value, Recurring | Level 3 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Securities and other assets segregated under federal and other regulations 0.0 0.0
Fair Value, Recurring | Level 3 | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Level 3 | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets $ 0.0 $ 0.0