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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
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Commodities      
Derivative Instruments, Gain (Loss) [Line Items]      
Derivative instruments, gain (loss) recognized in income, net $ 207.8 $ 197.3 $ 100.8
Foreign exchange      
Derivative Instruments, Gain (Loss) [Line Items]      
Derivative instruments, gain (loss) recognized in income, net 116.3 38.2 8.1
Interest rate, equities, and indices      
Derivative Instruments, Gain (Loss) [Line Items]      
Derivative instruments, gain (loss) recognized in income, net 80.8 20.4 (2.6)
TBA and forward settling securities      
Derivative Instruments, Gain (Loss) [Line Items]      
Derivative instruments, gain (loss) recognized in income, net (6.3) (49.7) (35.3)
Derivatives      
Derivative Instruments, Gain (Loss) [Line Items]      
Derivative instruments, gain (loss) recognized in income, net $ 398.6 $ 206.2 $ 71.0