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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Share-Based Payment Arrangement [Abstract]      
Before-tax share-based compensation cost $ 49.5 $ 44.5 $ 55.8
Income tax benefit (12.1) (11.0) (13.0)
After-tax share-based compensation cost $ 37.4 $ 33.5 $ 42.8