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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 9 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Commodities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 69.9 $ 75.0 $ 218.8 $ 138.2
Foreign exchange        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 47.5 25.8 127.2 87.3
Interest rate, equities, and indices        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 29.5 24.3 82.3 67.5
TBA and forward settling securities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 66.2 (1.9) 158.2 (1.8)
Derivatives        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 213.1 $ 123.2 $ 586.5 $ 291.2