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Financial Instruments with Off-Balance Sheet Risk and Concentrations of Credit Risk - Realized Gains/Losses on Derivative Contracts (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Commodities    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net $ 47.7 $ 4.2
Foreign exchange    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net 35.8 36.0
Interest rate, equities, and indices    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net 25.4 12.6
TBA and forward settling securities    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net (2.1) (8.5)
Derivatives    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net $ 106.8 $ 44.3