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Financial Instruments with Off-Balance Sheet Risk and Concentrations of Credit Risk - Schedule of Net Gains/(Losses) from Derivative Contracts (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Commodities    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net $ 54.8 $ 87.1
Foreign exchange    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net 45.4 25.2
Interest rate, equities, and indices    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net 42.3 27.4
TBA and forward settling securities    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net 92.0 (93.2)
Derivatives    
Derivative Instruments, Gain (Loss) [Line Items]    
Derivative instruments, gain (loss) recognized in income, net $ 234.5 $ 46.5