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Assets and Liabilities, at Fair Value - Schedule of Financial Assets and Liabilities Measured at Fair Value (Details) - USD ($)
$ in Millions
Jun. 30, 2025
Sep. 30, 2024
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents $ 13.4 $ 51.8
Securities and other assets segregated under federal and other regulations 2,924.3 2,841.2
Financial instruments owned 8,973.9 6,767.1
Physical commodities inventory 705.4 681.1
Accounts payable and other accrued liabilities 579.1 522.1
Financial instruments sold, not yet purchased, at fair value 3,707.7 2,853.3
Fair Value, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 57.9 49.2
Securities and other assets segregated under federal and other regulations 13.4 51.8
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 3,250.6 3,287.5
Receivables from clients, net - Derivatives 18.2 (8.4)
Financial instruments owned 8,973.9 6,767.1
Total assets at fair value 12,711.0 10,523.8
Accounts payable and other accrued liabilities 2.6  
Payables to clients - Derivatives (103.5) 265.9
Total liabilities at fair value 3,472.6 3,120.1
Fair Value, Recurring | Contingent Consideration    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accounts payable and other accrued liabilities   2.3
Fair Value, Recurring | To be announced 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 64.6 1.5
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 (198.8) (2.9)
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 (134.2) (1.4)
Fair Value, Recurring | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 397.0 376.6
Fair Value, Recurring | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 456.5 378.9
Financial instruments sold, not yet purchased, at fair value 430.2 224.8
Fair Value, Recurring | Corporate and municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 474.2 322.1
Financial instruments sold, not yet purchased, at fair value 268.5 154.6
Fair Value, Recurring | U.S. Treasury obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 1,193.5 1,088.6
Financial instruments sold, not yet purchased, at fair value 2,791.6 2,139.3
Fair Value, Recurring | U.S. government agency obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 346.6 531.0
Financial instruments sold, not yet purchased, at fair value   0.2
Fair Value, Recurring | Foreign government obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned   41.4
Financial instruments sold, not yet purchased, at fair value   41.0
Fair Value, Recurring | Agency mortgage-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 5,775.2 3,837.2
Financial instruments sold, not yet purchased, at fair value 7.0 23.6
Fair Value, Recurring | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 362.8 223.5
Financial instruments sold, not yet purchased, at fair value 0.7 3.9
Fair Value, Recurring | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 167.9 228.1
Financial instruments sold, not yet purchased, at fair value 207.7 264.8
Fair Value, Recurring | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned   0.0
Fair Value, Recurring | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 134.2 67.8
Fair Value, Recurring | Exchange firm common stock    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 16.5 13.2
Fair Value, Recurring | Cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 17.3 9.6
Financial instruments sold, not yet purchased, at fair value   0.2
Fair Value, Recurring | Mutual funds and other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 29.2 25.7
Fair Value, Recurring | Other    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments sold, not yet purchased, at fair value 2.0 0.9
Fair Value, Recurring | To be announced 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 6.9 7.8
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 20.1 18.3
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 3,291.9 2,933.2
Fair Value, Recurring | U.S. government agency 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 99.4  
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 (167.7) 328.2
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 13.4 51.8
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 (5,575.6) (5,758.4)
Receivables from clients, net - Derivatives (607.8) (537.0)
Financial instruments owned (506.4) (375.2)
Total assets at fair value (6,689.8) (6,670.6)
Accounts payable and other accrued liabilities 0.0  
Payables to clients - Derivatives (3,084.9) (3,540.1)
Financial instruments sold, not yet purchased, at fair value (452.8) (314.3)
Total liabilities at fair value (6,659.6) (6,614.6)
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   0.0
Fair Value, Recurring | Netting | To be announced 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 (53.7) (22.9)
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 (3,068.2) (2,737.3)
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 (3,121.9) (2,760.2)
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, at fair value 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, at fair value 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, at fair value 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, at fair value   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
Financial instruments sold, not yet purchased, at fair value   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, at fair value 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
Financial instruments sold, not yet purchased, at fair value 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 (506.4) (375.2)
Financial instruments sold, not yet purchased, at fair value (452.8) (314.3)
Fair Value, Recurring | Netting | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned   0.0
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 0.0
Financial instruments sold, not yet purchased, at fair value   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 | 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 0.0
Fair Value, Recurring | Netting | To be announced 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 (54.6) (18.3)
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 | U.S. government agency 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  
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 (5,521.0) (5,740.1)
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 | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 57.9 49.2
Securities and other assets segregated under federal and other regulations 13.4 51.8
Deposits with and receivables from broker-dealers, clearing organizations and counterparties, net 5,978.5 6,851.6
Receivables from clients, net - Derivatives 96.8 22.4
Financial instruments owned 1,811.3 1,598.6
Total assets at fair value 8,173.9 8,781.2
Accounts payable and other accrued liabilities 0.0  
Payables to clients - Derivatives 2,616.4 3,577.1
Financial instruments sold, not yet purchased, at fair value 3,221.1 2,408.2
Total liabilities at fair value 6,027.2 6,363.3
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   0.0
Fair Value, Recurring | Level 1 | To be announced 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 189.7 378.0
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 189.7 378.0
Fair Value, Recurring | Level 1 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 216.0 207.6
Fair Value, Recurring | Level 1 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 439.6 363.9
Financial instruments sold, not yet purchased, at fair value 425.0 219.8
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, at fair value 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 1,193.5 1,088.6
Financial instruments sold, not yet purchased, at fair value 2,791.6 2,139.3
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, at fair value   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   41.4
Financial instruments sold, not yet purchased, at fair value   41.0
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, at fair value 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
Financial instruments sold, not yet purchased, at fair value 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 0.4 0.1
Financial instruments sold, not yet purchased, at fair value 4.5 8.1
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
Fair Value, Recurring | Level 1 | Commodities warehouse receipts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 134.2 67.8
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 16.5 13.2
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 0.0
Financial instruments sold, not yet purchased, at fair value   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 27.1 23.6
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, at fair value 0.0 0.0
Fair Value, Recurring | Level 1 | To be announced 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 20.1 18.3
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 3,291.9 2,933.2
Fair Value, Recurring | Level 1 | U.S. government agency 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  
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 2,666.5 3,900.1
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 13.4 51.8
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 2,847.7 2,194.3
Receivables from clients, net - Derivatives 529.2 506.2
Financial instruments owned 7,666.9 5,541.6
Total assets at fair value 11,224.8 8,411.1
Accounts payable and other accrued liabilities 0.0  
Payables to clients - Derivatives 365.0 228.9
Financial instruments sold, not yet purchased, at fair value 938.4 758.5
Total liabilities at fair value 4,101.4 3,368.2
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   0.0
Fair Value, Recurring | Level 2 | To be announced 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 118.3 24.4
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 2,679.7 2,356.4
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 2,798.0 2,380.8
Fair Value, Recurring | Level 2 | Physical commodities inventory    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Physical commodities inventory 181.0 169.0
Fair Value, Recurring | Level 2 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 16.9 15.0
Financial instruments sold, not yet purchased, at fair value 5.2 5.0
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 474.2 322.1
Financial instruments sold, not yet purchased, at fair value 268.5 154.6
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, at fair value 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 346.6 531.0
Financial instruments sold, not yet purchased, at fair value   0.2
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
Financial instruments sold, not yet purchased, at fair value   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 5,775.2 3,837.2
Financial instruments sold, not yet purchased, at fair value 7.0 23.6
Fair Value, Recurring | Level 2 | Asset-backed obligations    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 362.8 223.5
Financial instruments sold, not yet purchased, at fair value 0.7 3.9
Fair Value, Recurring | Level 2 | Derivatives    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned 673.9 603.2
Financial instruments sold, not yet purchased, at fair value 656.0 571.0
Fair Value, Recurring | Level 2 | Commodities leases    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Financial instruments owned   0.0
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 17.3 9.6
Financial instruments sold, not yet purchased, at fair value   0.2
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 0.0
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, at fair value 1.0 0.0
Fair Value, Recurring | Level 2 | To be announced 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 61.5 26.1
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 | U.S. government agency 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 99.4  
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 2,686.8 2,168.2
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 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 0.0
Financial instruments owned 2.1 2.1
Total assets at fair value 2.1 2.1
Accounts payable and other accrued liabilities 2.6  
Payables to clients - Derivatives 0.0
Financial instruments sold, not yet purchased, at fair value 1.0 0.9
Total liabilities at fair value 3.6 3.2
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   2.3
Fair Value, Recurring | Level 3 | To be announced 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, at fair value 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, at fair value 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, at fair value 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, at fair value   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
Financial instruments sold, not yet purchased, at fair value   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, at fair value 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
Financial instruments sold, not yet purchased, at fair value 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, at fair value 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
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 0.0
Financial instruments sold, not yet purchased, at fair value   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 2.1 2.1
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, at fair value 1.0 0.9
Fair Value, Recurring | Level 3 | To be announced 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 | U.S. government agency 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  
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 | Certificates of deposit    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 17.7 13.9
Fair Value, Recurring | Certificates of deposit | Netting    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Certificates of deposit | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 17.7 13.9
Fair Value, Recurring | Certificates of deposit | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Certificates of deposit | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Money market mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 40.2 35.3
Fair Value, Recurring | Money market mutual funds | Netting    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Money market mutual funds | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 40.2 35.3
Fair Value, Recurring | Money market mutual funds | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets 0.0 0.0
Fair Value, Recurring | Money market mutual funds | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets $ 0.0 $ 0.0