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Income Taxes (Components of Income Tax Expense (Benefit) (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Current:      
Current Federal Tax Expense (Benefit) $ 28.4 $ 19.5 $ 21.9
Current State and Local Tax Expense (Benefit) 6.0 4.3 6.3
Current Foreign Tax Expense (Benefit) 3.5 1.7 1.6
Current Income Tax Expense (Benefit) 37.9 25.5 29.8
Deferred:      
Deferred Federal Income Tax Expense (Benefit) (11.2) (3.4) (4.7)
Deferred State and Local Income Tax Expense (Benefit) (3.3) (0.9) (1.3)
Deferred Foreign Income Tax Expense (Benefit) 0.1 0.8 0.7
Deferred Income Tax Expense (Benefit) (14.4) (3.5) (5.3)
Income tax expense (benefit) $ 23.5 $ 22.0 $ 24.5