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Assets and Liabilities, at Fair Value - Financial Assets and Liabilities Measured at Fair Value (Details) - USD ($)
$ in Millions
Sep. 30, 2023
Sep. 30, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents $ 5.8 $ 805.7
Securities and other assets segregated under federal and other regulations 2,426.3 3,267.2
Financial instruments owned 5,044.8 4,167.3
Physical commodities inventory 537.3 513.5
Financial instruments sold, not yet purchased, at fair value 3,085.6 2,469.6
Accounts payable and other accrued liabilities 533.0 400.6
Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 66.5 43.5
Securities and other assets segregated under federal and other regulations 5.8 805.7
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 4,248.3 2,817.2
Receivable from clients, net - Derivatives (7.9) (0.5)
Financial instruments owned 5,044.8 4,167.3
Total assets at fair value 9,744.0 8,193.0
Payables to clients - Derivatives 79.8 (1,392.4)
Total liabilities at fair value 3,177.1 1,133.0
Fair Value, Measurements, Recurring | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities 1.5  
Fair Value, Measurements, 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 16.1 58.0
Fair Value, Measurements, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties (5.9) (2.2)
Fair Value, Measurements, 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 10.2 55.8
Fair Value, Measurements, Recurring | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 386.5 359.8
Fair Value, Measurements, Recurring | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 334.3 379.7
Financial instruments sold, not yet purchased, at fair value 236.1 305.6
Fair Value, Measurements, Recurring | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 284.2 156.8
Financial instruments sold, not yet purchased, at fair value 81.6 63.2
Fair Value, Measurements, Recurring | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 531.7 347.6
Financial instruments sold, not yet purchased, at fair value 2,409.3 1,686.5
Fair Value, Measurements, Recurring | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 451.7 343.0
Financial instruments sold, not yet purchased, at fair value 5.1 24.3
Fair Value, Measurements, Recurring | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 43.3 4.8
Financial instruments sold, not yet purchased, at fair value 21.5 0.5
Fair Value, Measurements, Recurring | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 2,865.8 2,588.7
Financial instruments sold, not yet purchased, at fair value 31.7 5.4
Fair Value, Measurements, Recurring | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 138.8 70.7
Fair Value, Measurements, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 268.5 192.6
Financial instruments sold, not yet purchased, at fair value 261.2 313.4
Fair Value, Measurements, Recurring | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 16.0 26.4
Financial instruments sold, not yet purchased, at fair value   0.0
Fair Value, Measurements, Recurring | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 54.7 24.9
Fair Value, Measurements, Recurring | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 12.0 10.6
Fair Value, Measurements, Recurring | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 42.1 21.5
Fair Value, Measurements, Recurring | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1.7  
Financial instruments sold, not yet purchased, at fair value 27.1 70.6
Fair Value, Measurements, Recurring | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased, at fair value 12.0  
Fair Value, Measurements, 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 41.8 116.2
Fair Value, Measurements, 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 17.8 14.4
Fair Value, Measurements, 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 4,023.8 4,258.5
Fair Value, Measurements, 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 164.9 (1,571.9)
Fair Value, Measurements, 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 5.8 19.7
Fair Value, Measurements, 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   786.0
Fair Value, Measurements, Recurring | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 8.7 4.0
Fair Value, Measurements, Recurring | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 57.8 39.5
Fair Value, Measurements, 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 (6,500.2) (9,839.1)
Receivable from clients, net - Derivatives (630.9) (579.3)
Financial instruments owned (600.2) (502.4)
Total assets at fair value (7,731.3) (10,920.8)
Payables to clients - Derivatives (5,577.1) (9,290.3)
Financial instruments sold, not yet purchased, at fair value (510.4) (466.3)
Total liabilities at fair value (7,639.0) (10,505.0)
Fair Value, Measurements, Recurring | Netting | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities 0.0  
Fair Value, Measurements, 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 (31.4) (96.9)
Fair Value, Measurements, Recurring | Netting | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Payable to broker-dealers, clearing organizations and counterparties (1,520.1) (651.5)
Fair Value, Measurements, 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 (1,551.5) (748.4)
Fair Value, Measurements, 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, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Netting | Foreign government 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, Measurements, Recurring | Netting | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned (600.2) (502.4)
Financial instruments sold, not yet purchased, at fair value (510.4) (466.3)
Fair Value, Measurements, 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, at fair value   0.0
Fair Value, Measurements, 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, Measurements, 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, Measurements, 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, Measurements, Recurring | Netting | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0  
Financial instruments sold, not yet purchased, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Netting | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased, at fair value 0.0  
Fair Value, Measurements, 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 (31.7) (91.4)
Fair Value, Measurements, 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, Measurements, 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, Measurements, 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 (6,468.5) (9,747.7)
Fair Value, Measurements, 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, Measurements, 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
Fair Value, Measurements, 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, Measurements, 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, Measurements, Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 66.5 43.5
Securities and other assets segregated under federal and other regulations 5.8 805.7
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 9,539.1 11,987.3
Receivable from clients, net - Derivatives 61.7 67.2
Financial instruments owned 1,005.6 773.9
Total assets at fair value 10,919.0 13,813.9
Payables to clients - Derivatives 5,430.7 7,722.5
Financial instruments sold, not yet purchased, at fair value 2,663.8 1,986.9
Total liabilities at fair value 8,206.7 9,768.1
Fair Value, Measurements, Recurring | Level 1 | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities 0.0  
Fair Value, Measurements, 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, Measurements, 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 112.2 58.7
Fair Value, Measurements, 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 112.2 58.7
Fair Value, Measurements, Recurring | Level 1 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 240.3 136.3
Fair Value, Measurements, Recurring | Level 1 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 324.0 367.9
Financial instruments sold, not yet purchased, at fair value 230.6 299.9
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Level 1 | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 531.7 347.6
Financial instruments sold, not yet purchased, at fair value 2,409.3 1,686.5
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Level 1 | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 43.3 4.8
Financial instruments sold, not yet purchased, at fair value 21.5 0.5
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, Measurements, Recurring | Level 1 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.6 0.7
Financial instruments sold, not yet purchased, at fair value 2.4 0.0
Fair Value, Measurements, 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, at fair value   0.0
Fair Value, Measurements, Recurring | Level 1 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 54.7 24.9
Fair Value, Measurements, Recurring | Level 1 | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 12.0 10.6
Fair Value, Measurements, Recurring | Level 1 | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 39.3 17.4
Fair Value, Measurements, Recurring | Level 1 | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0  
Financial instruments sold, not yet purchased, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Level 1 | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased, at fair value 0.0  
Fair Value, Measurements, 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, Measurements, 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 17.8 14.4
Fair Value, Measurements, 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 4,023.8 4,258.5
Fair Value, Measurements, 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 5,497.5 7,714.4
Fair Value, Measurements, 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 5.8 19.7
Fair Value, Measurements, 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   786.0
Fair Value, Measurements, Recurring | Level 1 | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 8.7 4.0
Fair Value, Measurements, Recurring | Level 1 | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 57.8 39.5
Fair Value, Measurements, 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 1,209.4 669.0
Receivable from clients, net - Derivatives 561.3 511.6
Financial instruments owned 4,636.6 3,895.8
Total assets at fair value 6,553.5 5,299.9
Payables to clients - Derivatives 226.2 175.4
Financial instruments sold, not yet purchased, at fair value 931.1 949.0
Total liabilities at fair value 2,606.8 1,869.9
Fair Value, Measurements, Recurring | Level 2 | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities 0.0  
Fair Value, Measurements, 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 47.5 154.9
Fair Value, Measurements, 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 1,402.0 590.6
Fair Value, Measurements, 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 1,449.5 745.5
Fair Value, Measurements, Recurring | Level 2 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 146.2 223.5
Fair Value, Measurements, Recurring | Level 2 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 10.3 11.8
Financial instruments sold, not yet purchased, at fair value 5.5 5.7
Fair Value, Measurements, Recurring | Level 2 | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 284.2 156.8
Financial instruments sold, not yet purchased, at fair value 81.6 63.2
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Level 2 | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 451.7 343.0
Financial instruments sold, not yet purchased, at fair value 5.1 24.3
Fair Value, Measurements, Recurring | Level 2 | Foreign government 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, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Level 2 | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 2,865.8 2,588.7
Financial instruments sold, not yet purchased, at fair value 31.7 5.4
Fair Value, Measurements, Recurring | Level 2 | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 138.8 70.7
Fair Value, Measurements, Recurring | Level 2 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 868.1 694.3
Financial instruments sold, not yet purchased, at fair value 769.2 779.7
Fair Value, Measurements, Recurring | Level 2 | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 16.0 26.4
Financial instruments sold, not yet purchased, at fair value   0.0
Fair Value, Measurements, 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, Measurements, 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, Measurements, Recurring | Level 2 | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0 4.1
Fair Value, Measurements, Recurring | Level 2 | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1.7  
Financial instruments sold, not yet purchased, at fair value 27.1 70.6
Fair Value, Measurements, Recurring | Level 2 | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased, at fair value 10.9  
Fair Value, Measurements, 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 73.5 207.6
Fair Value, Measurements, 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, Measurements, 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, Measurements, 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 1,135.9 461.4
Fair Value, Measurements, 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, Measurements, 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
Fair Value, Measurements, 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, Measurements, 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, Measurements, 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
Receivable from clients, net - Derivatives
Financial instruments owned 2.8 0.0
Total assets at fair value 2.8 0.0
Payables to clients - Derivatives 0.0 0.0
Financial instruments sold, not yet purchased, at fair value 1.1 0.0
Total liabilities at fair value 2.6 0.0
Fair Value, Measurements, Recurring | Level 3 | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities 1.5  
Fair Value, Measurements, 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, Measurements, 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, Measurements, 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, Measurements, 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, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Level 3 | Foreign government 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, Measurements, 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, at fair value 0.0 0.0
Fair Value, Measurements, 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, at fair value   0.0
Fair Value, Measurements, 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, Measurements, 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, Measurements, Recurring | Level 3 | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 2.8 0.0
Fair Value, Measurements, Recurring | Level 3 | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 0.0  
Financial instruments sold, not yet purchased, at fair value 0.0 0.0
Fair Value, Measurements, Recurring | Level 3 | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased, at fair value 1.1  
Fair Value, Measurements, 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, Measurements, 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, Measurements, 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, Measurements, 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, Measurements, 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, Measurements, 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
Fair Value, Measurements, 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, Measurements, 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