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Financial Instruments with Off-Balance Sheet Risk and Concentrations of Credit Risk - Schedule of Derivative Assets and Liabilities (Details)
contract in Millions, $ in Millions
Sep. 30, 2025
USD ($)
contract
Sep. 30, 2024
USD ($)
contract
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset $ 7,987.4 $ 7,235.9
Derivative liability, fair value, gross liability 8,461.7 7,144.1
Impact of netting and collateral asset (7,621.7) (6,670.6)
Impact of netting and collateral liability $ (7,594.3) $ (6,614.6)
Derivative, number of instruments held | contract 19.2 12.2
Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset $ 7,977.9 $ 7,226.3
Derivative liability, fair value, gross liability 8,460.7 7,143.9
Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 9.5 9.6
Derivative liability, fair value, gross liability 1.0 0.2
Total fair value included in Deposits with and receivables from broker-dealers, clearing organizations, and counterparties, net    
Derivatives, Fair Value [Line Items]    
Derivative, fair value, net 107.7 336.0
Total fair value included in Receivable from clients, net    
Derivatives, Fair Value [Line Items]    
Derivative, fair value, net 58.1 (8.4)
Total fair value included in Financial instruments owned, at fair value    
Derivatives, Fair Value [Line Items]    
Derivative, fair value, net 199.9 237.7
Total fair value included in Payables to clients    
Derivatives, Fair Value [Line Items]    
Derivative, fair value, net 530.7 265.9
Total fair value included in Payables to broker-dealers, clearing organizations and counterparties    
Derivatives, Fair Value [Line Items]    
Derivative, fair value, net 38.4 (1.4)
Fair value included in Financial instruments sold, not yet purchased, at fair value    
Derivatives, Fair Value [Line Items]    
Derivative, fair value, net 298.3 265.0
Exchange-traded commodity derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 2,487.3 1,383.1
Derivative liability, fair value, gross liability 2,528.6 1,415.7
OTC commodity derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 3,580.7 1,967.9
Derivative liability, fair value, gross liability 3,517.4 1,924.3
Exchange-traded foreign exchange derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 7.5 2.0
Derivative liability, fair value, gross liability 7.5 2.0
OTC foreign exchange derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 749.5 975.2
Derivative liability, fair value, gross liability 1,264.0 938.2
Exchange-traded interest rate derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 361.2 720.1
Derivative liability, fair value, gross liability 367.4 728.1
OTC interest rate derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 148.3 207.1
Derivative liability, fair value, gross liability 148.3 207.1
OTC interest rate derivatives | Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative liability, fair value, gross liability 0.0 0.2
Exchange-traded equity index derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 413.4 1,817.4
Derivative liability, fair value, gross liability 413.4 1,817.4
OTC equity and indices derivatives | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 195.1 127.4
Derivative liability, fair value, gross liability 138.1 86.7
TBA and forward settling securities | Not Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 34.9 26.1
Derivative liability, fair value, gross liability 76.0 24.4
Interest rate swaps | Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 0.0 0.0
Derivative liability, fair value, gross liability 0.0 0.2
Foreign currency forwards | Designated as Hedging Instrument    
Derivatives, Fair Value [Line Items]    
Derivative asset, fair value, gross asset 9.5 9.6
Derivative liability, fair value, gross liability $ 1.0 $ 0.0