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Financial Instruments with Off-Balance Sheet Risk and Concentrations of Credit Risk - TBAs and Forward Settling Securities (Details) - USD ($)
$ in Millions
Dec. 31, 2020
Sep. 30, 2020
Derivative Instruments and Hedging Activities Disclosure [Line Items]    
Derivative asset, fair value, gross asset $ 3,170.4 $ 3,264.4
Derivative liability, fair value, gross liability 2,916.5 3,069.5
TBA Securities Sold | Deposits and Receivables from Broker-dealers, Clearing Organizations and Counterparties    
Derivative Instruments and Hedging Activities Disclosure [Line Items]    
Derivative asset, fair value, gross asset 25.6 10.8
Derivative asset, notional amount 6,190.7 5,389.3
TBA Securities Sold | Payables to Broker-dealers, Clearing Organizations and Counterparties    
Derivative Instruments and Hedging Activities Disclosure [Line Items]    
Derivative asset, fair value, gross asset 0.0 (1.7)
Derivative asset, notional amount 136.9 2,647.7
Forward Settling Securities Purchased | Deposits and Receivables from Broker-dealers, Clearing Organizations and Counterparties    
Derivative Instruments and Hedging Activities Disclosure [Line Items]    
Derivative liability, fair value, gross liability 120.4 2,978.7
Derivative liability, fair value, gross liability 0.0 2.8
Forward Settling Securities Purchased | Payables to Broker-dealers, Clearing Organizations and Counterparties    
Derivative Instruments and Hedging Activities Disclosure [Line Items]    
Derivative liability, fair value, gross liability 7,613.1 6,549.4
Derivative liability, fair value, gross liability (30.8) (13.0)
Forward Settling Securities Sold | Deposits and Receivables from Broker-dealers, Clearing Organizations and Counterparties    
Derivative Instruments and Hedging Activities Disclosure [Line Items]    
Derivative asset, fair value, gross asset 1.4 0.0
Derivative asset, notional amount 1,392.7 0.0
Derivative liability, fair value, gross liability 1,040.6 1,946.0
Derivative liability, fair value, gross liability 1.2 17.4
Forward Settling Securities Purchased | Deposits and Receivables from Broker-dealers, Clearing Organizations and Counterparties    
Derivative Instruments and Hedging Activities Disclosure [Line Items]    
Derivative asset, fair value, gross asset 0.0 (7.3)
Derivative asset, notional amount $ 0.0 $ 2,447.1