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Income Taxes - Income Before Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Income Tax Disclosure [Abstract]      
Domestic $ 329.4 $ 576.0 $ 527.3
Foreign 71.1 278.5 174.1
Income before income taxes $ 400.5 $ 854.5 $ 701.4