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Securities and Commodity Financing Transactions - Carrying Value of Collateral Pledged, Received and Repledged (Details) - USD ($)
$ in Millions
Mar. 31, 2023
Sep. 30, 2022
Assets Sold under Agreements to Repurchase [Line Items]    
Securities pledged or repledged to cover collateral requirements for tri-party arrangements $ 5,049.1 $ 4,167.3
Securities received as collateral that may be repledged 8,832.5 5,836.1
Securities received as collateral that may be repledged covering securities sold short 2,005.2 1,615.3
Asset Pledged as Collateral with Right    
Assets Sold under Agreements to Repurchase [Line Items]    
Repledged securities borrowed and client securities held under custodial clearing arrangements to collateralize securities loaned agreements 754.9 1,146.0
Tri-party Repurchase Agreements | Asset Pledged as Collateral without Right    
Assets Sold under Agreements to Repurchase [Line Items]    
Securities pledged or repledged to cover collateral requirements for tri-party arrangements $ 4,824.6 $ 3,787.8