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Financial Instruments with Off-Balance Sheet Risk and Concentrations of Credit Risk - Accumulated Other Comprehensive Income Effects of Derivative Instruments (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Derivative Instruments and Hedging Activities Disclosure [Line Items]        
Amount of Gain/(Loss) Recognized in Other Comprehensive Income on Derivatives, net of tax $ 1.3 $ 2.6 $ 21.2 $ 31.6
Interest rate contracts        
Derivative Instruments and Hedging Activities Disclosure [Line Items]        
Amount of Gain/(Loss) Recognized in Other Comprehensive Income on Derivatives, net of tax 2.8 (0.7) 17.1 8.5
Foreign currency forward contracts        
Derivative Instruments and Hedging Activities Disclosure [Line Items]        
Amount of Gain/(Loss) Recognized in Other Comprehensive Income on Derivatives, net of tax $ (1.5) $ 3.3 $ 4.1 $ 23.1