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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, 2023
Dec. 31, 2022
Commodities    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net $ 87.1 $ 54.2
Foreign exchange    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net 25.2 48.8
Interest rate, equities, and indices    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net 27.4 8.3
TBA and forward settling securities    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net (93.2) (23.0)
Derivatives    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net $ 46.5 $ 88.3