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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, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Commodities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 135.2 $ 59.0 $ 182.9 $ 63.2
Foreign exchange        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 56.7 25.5 92.5 61.5
Interest rate, equities, and indices        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 27.4 30.6 52.8 43.2
TBA and forward settling securities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 94.1 8.6 92.0 0.1
Derivatives        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 313.4 $ 123.7 $ 420.2 $ 168.0