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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
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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

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