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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2018
Mar. 31, 2017
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]        
Before-tax share-based compensation cost $ 10.7 $ 9.5 $ 22.5 $ 18.5
Income tax benefit (2.1) (3.3) (5.3) (6.3)
After-tax share-based compensation cost $ 8.6 $ 6.2 $ 17.2 $ 12.2