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Securities and Commodity Financing Transactions - Underlying Collateral Types of Gross Obligations (Details) - USD ($)
$ in Millions
Jun. 30, 2024
Sep. 30, 2023
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase $ 15,997.3 $ 9,196.4
Securities loaned 1,124.0 1,117.3
Gross amount of secured financing 17,121.3 10,313.7
U.S. Treasury obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 9,815.1 3,696.1
U.S. government agency obligations and municipal bonds    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 520.4 542.2
Asset-backed obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 137.7 102.9
Agency mortgage-backed obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 4,556.0 4,371.6
Foreign government obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 488.3 148.1
Corporate bonds    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 479.8 335.5
Equity securities    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities loaned $ 1,124.0 $ 1,117.3