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Securities and Commodity Financing Transactions - Schedule of Underlying Collateral Types of Gross Obligations (Details) - USD ($)
$ in Millions
Jun. 30, 2025
Sep. 30, 2024
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase $ 24,590.6 $ 16,527.9
Securities loaned 2,032.1 1,615.9
Gross amount of secured financing 26,622.7 18,143.8
U.S. Treasury obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 13,609.9 9,673.7
U.S. government agency obligations and municipal bonds    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 354.3 652.0
Asset-backed obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 172.3 136.1
Agency mortgage-backed obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 7,944.7 5,079.6
Foreign government obligations    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 939.5 649.6
Corporate bonds    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities sold under agreements to repurchase 1,569.9 336.9
Equity securities    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities loaned $ 2,032.1 $ 1,615.9