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Income Taxes (Income before Income Tax, Domestic and Foreign) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Income Tax Disclosure [Abstract]      
Loss before income taxes, U.S. $ 83.2 $ 81.6 $ 94.0
Loss before income taxes, Non-U.S. 25.8 17.0 0.9
Net Income Before Income Tax $ 109.0 $ 98.6 $ 94.9