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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, 2021
Mar. 31, 2020
Mar. 31, 2021
Mar. 31, 2020
Commodities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 59.0 $ 61.6 $ 63.2 $ 79.8
Foreign exchange        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 25.5 5.1 61.5 7.3
Interest rate, equities, and indices        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 30.6 0.0 43.2 (0.4)
TBA and forward settling securities        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net 8.6 (34.4) 0.1 (35.3)
Derivatives        
Derivative Instruments, Gain (Loss) [Line Items]        
Derivative instruments, gain (loss) recognized in income, net $ 123.7 $ 32.3 $ 168.0 $ 51.4