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Accumulated Other Comprehensive Loss, Net (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Jun. 30, 2025
Jun. 30, 2024
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balance $ 1,882.0 $ 1,542.6 $ 1,709.1 $ 1,379.1
Other comprehensive gains, net of tax 17.6 (7.9) 11.0 14.3
Ending balance 1,978.8 1,607.8 1,978.8 1,607.8
Foreign Currency Translation Adjustment        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balance     (31.3)  
Other comprehensive gains, net of tax     5.0  
Ending balance (26.3)   (26.3)  
Pension Benefits Adjustment        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balance     (1.2)  
Other comprehensive gains, net of tax     0.0  
Ending balance (1.2)   (1.2)  
Cash Flow Hedge        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balance     7.3  
Other comprehensive gains, net of tax     6.0  
Ending balance 13.3   13.3  
Accumulated Other Comprehensive Loss, net        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Beginning balance (31.8) (29.6) (25.2) (51.8)
Other comprehensive gains, net of tax 17.6 (7.9) 11.0 14.3
Ending balance $ (14.2) $ (37.5) $ (14.2) $ (37.5)