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Securities and Commodity Financing Transactions - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Assets Sold under Agreements to Repurchase [Line Items]    
Fair value of financial instruments owned $ 4,167.3 $ 4,354.6
Fair value of repledged securities 2,372.3 843.3
Securities loaned, fair value of collateral 1,146.0 2,097.6
Fair value of securities received as collateral that can be resold or repledged 5,836.1 4,399.8
Fair value of securities received as collateral that have been resold or repledged 1,615.3 1,031.1
Asset Pledged as Collateral with Right    
Assets Sold under Agreements to Repurchase [Line Items]    
Fair value of financial instruments owned 2,372.3 843.3
Asset Pledged as Collateral without Right | Tri-party Repurchase Agreements    
Assets Sold under Agreements to Repurchase [Line Items]    
Fair value of financial instruments owned 822.5 2,359.6
Fair value of repledged securities $ 2,965.3 $ 1,157.9
Repurchase agreement term 2 years