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Securities and Commodity Financing Transactions - Underlying Collateral Types of Gross Obligations (Details) - USD ($)
$ in Millions
Mar. 31, 2023
Sep. 30, 2022
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase $ 10,332.1 $ 6,133.5
Securities loaned 764.5 1,189.5
Gross amount of secured financing 11,096.6 7,323.0
U.S. Treasury obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 4,777.7 1,311.0
U.S. government agency obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 476.0 604.1
Asset-backed obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 54.8 178.0
Agency mortgage-backed obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 4,651.0 3,762.5
Foreign government obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 124.1 97.2
Corporate bonds    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 248.5 180.7
Equity securities    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities loaned $ 764.5 $ 1,189.5