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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 6 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2024
Mar. 31, 2023
Commodities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 30.4 $ 147.8 $ 117.5 $ 202.0
Foreign exchange        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 32.6 (72.8) 57.8 (24.0)
Interest rate, equities, and indices        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 15.5 25.6 42.9 33.9
TBA and forward settling securities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 25.5 (14.1) (67.7) (37.1)
Derivatives        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 104.0 $ 86.5 $ 150.5 $ 174.8