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Income Taxes (Income before Income Tax, Domestic and Foreign) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Income Tax Disclosure [Abstract]      
Loss before income taxes, U.S. $ 176.1 $ 83.2 $ 81.6
Loss before income taxes, Non-U.S. (12.7) 25.8 17.0
Net Income Before Income Tax $ 163.4 $ 109.0 $ 98.6