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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Before-Tax Share-Based Compensation $ 38.8 $ 40.7 $ 37.6
Discontinued Operations      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Before-Tax Share-Based Compensation 0.0 0.8 6.6
Continuing Operations      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Before-Tax Share-Based Compensation 38.8 39.9 31.0
Income Tax Benefit (9.1) (14.0) (10.8)
After-Tax Share-Based Compensation $ 29.7 $ 25.9 $ 20.2