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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Share-based Payment Arrangement, Additional Disclosure [Abstract]    
Before-tax share-based compensation cost $ 16.8 $ 9.5
Income tax benefit (4.1) (2.3)
After-tax share-based compensation cost $ 12.7 $ 7.2