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Accumulated Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance $ 810.1 $ 711.5 $ 669.3
Total other comprehensive income (loss) 26.2 17.9 (4.1)
Ending balance 981.7 810.1 711.5
Accumulated other comprehensive income (loss)      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (30.8) (48.7) (44.6)
Total other comprehensive income (loss) 26.2 17.9 (4.1)
Ending balance (4.6) (30.8) (48.7)
Foreign currency translation, net of income tax      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (11.1) (20.2)  
Total other comprehensive income (loss) 21.4 9.1  
Ending balance 10.3 (11.1) (20.2)
Pension actuarial amortization, net of income tax      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning balance (19.7) (28.5)  
Total other comprehensive income (loss) 4.8 8.8  
Ending balance $ (14.9) $ (19.7) $ (28.5)