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Income Taxes - Income Before Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Income Tax Disclosure [Abstract]      
Domestic $ 527.3 $ 518.9 $ 552.3
Foreign 174.1 191.1 39.5
Income before income taxes $ 701.4 $ 710.0 $ 591.8