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Financial Instruments with Off-Balance Sheet Risk and Concentrations of Credit Risk - Income Statement Effects of Derivative Instruments (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Derivative Instruments and Hedging Activities Disclosures [Line Items]      
Amount of loss reclassified from accumulated other comprehensive income into income $ 2.4    
Designated as Hedging Instrument      
Derivative Instruments and Hedging Activities Disclosures [Line Items]      
Total derivatives designated as hedging instruments 2.4    
Amount reclassified from accumulated other comprehensive income into income as a result of a forecasted transaction that is no longer probable of occurring 0.0    
Interest rate contracts      
Derivative Instruments and Hedging Activities Disclosures [Line Items]      
Total derivatives designated as hedging instruments 100.4 $ 80.8 $ 20.4
Amount of loss reclassified from accumulated other comprehensive income into income 2.4    
Interest rate contracts | Designated as Hedging Instrument      
Derivative Instruments and Hedging Activities Disclosures [Line Items]      
Total derivatives designated as hedging instruments $ 2.4