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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Share-based Payment Arrangement, Additional Disclosure [Abstract]    
Before-tax share-based compensation cost $ 13.6 $ 16.9
Income tax benefit (3.3) (4.1)
After-tax share-based compensation cost $ 10.3 $ 12.8