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Assets and Liabilities, at Fair Value - Financial Assets and Liabilities Measured at Fair Value (Details) - USD ($)
$ in Millions
Mar. 31, 2023
Sep. 30, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents $ 25.8 $ 805.7
Securities and other assets segregated under federal and other regulations 2,512.3 3,267.2
Financial instruments owned 5,049.1 4,167.3
Physical commodities inventory 572.1 513.5
Accounts payable and other accrued liabilities 513.8 400.6
Payable to broker-dealers, clearing organizations and counterparties 558.4 659.8
Financial instruments sold, not yet purchased 2,570.9 2,469.6
Fair Value, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 81.9 43.5
Securities and other assets segregated under federal and other regulations 25.8 805.7
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 4,655.7 2,817.2
Receivables from clients, net - Derivatives 2.3 (0.5)
Financial instruments owned 5,049.1 4,167.3
Total assets at fair value 10,166.4 8,193.0
Accounts payable and other accrued liabilities 1.3  
Payables to clients - Derivatives 669.5 (1,392.4)
Total liabilities at fair value 3,275.8 1,133.0
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 35.0 58.0
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 (0.9) (2.2)
Fair Value, Recurring | Payable 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 34.1 55.8
Fair Value, Recurring | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 351.6 359.8
Fair Value, Recurring | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 390.9 379.7
Financial instruments sold, not yet purchased 331.0 305.6
Fair Value, Recurring | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 196.8 156.8
Financial instruments sold, not yet purchased 98.6 63.2
Fair Value, Recurring | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 641.0 347.6
Financial instruments sold, not yet purchased 1,830.6 1,686.5
Fair Value, Recurring | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 334.1 343.0
Financial instruments sold, not yet purchased 13.8 24.3
Fair Value, Recurring | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 4.1 4.8
Financial instruments sold, not yet purchased 5.9 0.5
Fair Value, Recurring | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 3,021.4 2,588.7
Financial instruments sold, not yet purchased 40.8 5.4
Fair Value, Recurring | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 75.8 70.7
Fair Value, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 285.4 192.6
Financial instruments sold, not yet purchased 209.7 313.4
Fair Value, Recurring | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 23.9 26.4
Fair Value, Recurring | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 33.1 24.9
Fair Value, Recurring | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 11.5 10.6
Fair Value, Recurring | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 4.7  
Financial instruments sold, not yet purchased 38.5 70.6
Fair Value, Recurring | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased 2.0 0.1
Fair Value, Recurring | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 26.4 21.5
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 14.3 116.2
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 16.4 14.4
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 4,153.3 4,258.5
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 471.7 (1,571.9)
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 25.7 19.7
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 0.1 786.0
Fair Value, Recurring | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 15.8 4.0
Fair Value, Recurring | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 66.1 39.5
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 (7,336.0) (9,839.1)
Receivables from clients, net - Derivatives (543.9) (579.3)
Financial instruments owned (616.7) (502.4)
Total assets at fair value (8,496.6) (10,920.8)
Accounts payable and other accrued liabilities 0.0  
Payables to clients - Derivatives (5,972.7) (9,290.3)
Financial instruments sold, not yet purchased (555.5) (466.3)
Total liabilities at fair value (8,181.9) (10,505.0)
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 (37.5) (96.9)
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 (1,616.2) (651.5)
Fair Value, Recurring | Netting | Payable 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 (1,653.7) (748.4)
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 0.0
Fair Value, 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 0.0 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 (616.7) (502.4)
Financial instruments sold, not yet purchased (555.5) (466.3)
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
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 owned 0.0  
Financial instruments sold, not yet purchased 0.0 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 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 (41.1) (91.4)
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 (7,294.9) (9,747.7)
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 81.9 43.5
Securities and other assets segregated under federal and other regulations 25.8 805.7
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 10,674.8 11,987.3
Receivables from clients, net - Derivatives 50.8 67.2
Financial instruments owned 1,088.5 773.9
Total assets at fair value 12,033.3 13,813.9
Accounts payable and other accrued liabilities 0.0  
Payables to clients - Derivatives 6,435.2 7,722.5
Financial instruments sold, not yet purchased 2,157.0 1,986.9
Total liabilities at fair value 8,702.1 9,768.1
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 109.9 58.7
Fair Value, Recurring | Level 1 | Payable 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 109.9 58.7
Fair Value, Recurring | Level 1 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 111.5 136.3
Fair Value, Recurring | Level 1 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 372.4 367.9
Financial instruments sold, not yet purchased 318.0 299.9
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 641.0 347.6
Financial instruments sold, not yet purchased 1,830.6 1,686.5
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 0.0
Fair Value, Recurring | Level 1 | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 4.1 4.8
Financial instruments sold, not yet purchased 5.9 0.5
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 0.6 0.7
Financial instruments sold, not yet purchased 2.5 0.0
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
Fair Value, Recurring | Level 1 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 33.1 24.9
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 11.5 10.6
Fair Value, 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 0.0 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 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 25.8 17.4
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 16.4 14.4
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 4,153.3 4,258.5
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 6,505.1 7,714.4
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 25.7 19.7
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 0.1 786.0
Fair Value, Recurring | Level 1 | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 15.8 4.0
Fair Value, Recurring | Level 1 | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 66.1 39.5
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 1,316.9 669.0
Receivables from clients, net - Derivatives 495.4 511.6
Financial instruments owned 4,576.7 3,895.8
Total assets at fair value 6,629.1 5,299.9
Accounts payable and other accrued liabilities 0.0  
Payables to clients - Derivatives 207.0 175.4
Financial instruments sold, not yet purchased 968.2 949.0
Total liabilities at fair value 2,753.1 1,869.9
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 72.5 154.9
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 1,505.4 590.6
Fair Value, Recurring | Level 2 | Payable 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 1,577.9 745.5
Fair Value, Recurring | Level 2 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 240.1 223.5
Fair Value, Recurring | Level 2 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 18.5 11.8
Financial instruments sold, not yet purchased 13.0 5.7
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 196.8 156.8
Financial instruments sold, not yet purchased 98.6 63.2
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 334.1 343.0
Financial instruments sold, not yet purchased 13.8 24.3
Fair Value, 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 0.0 0.0
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 3,021.4 2,588.7
Financial instruments sold, not yet purchased 40.8 5.4
Fair Value, Recurring | Level 2 | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 75.8 70.7
Fair Value, Recurring | Level 2 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 901.5 694.3
Financial instruments sold, not yet purchased 762.7 779.7
Fair Value, Recurring | Level 2 | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 23.9 26.4
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 owned 4.7  
Financial instruments sold, not yet purchased 38.5 70.6
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 0.8 0.1
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 0.0 4.1
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 55.4 207.6
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 1,261.5 461.4
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 0.0
Financial instruments owned 0.6 0.0
Total assets at fair value 0.6 0.0
Accounts payable and other accrued liabilities 1.3  
Payables to clients - Derivatives 0.0
Financial instruments sold, not yet purchased 1.2 0.0
Total liabilities at fair value 2.5 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]    
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 | Payable 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 | 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 0.0
Fair Value, 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 0.0 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 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
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 owned 0.0  
Financial instruments sold, not yet purchased 0.0 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 1.2 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 0.6 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