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Accumulated Other Comprehensive Loss, Net (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance $ 1,709.1 $ 1,379.1 $ 1,070.1
Other comprehensive income/(loss), net of tax 9.2 26.6 38.8
Ending balance 2,377.4 1,709.1 1,379.1
Foreign Currency Translation Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance (31.3) (31.2) (34.4)
Other comprehensive income/(loss), net of tax 9.9 (0.1) 3.2
Ending balance (21.4) (31.3) (31.2)
Pension Benefits Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance (1.2) (2.2) (2.7)
Other comprehensive income/(loss), net of tax (0.1) 1.0 0.5
Ending balance (1.3) (1.2) (2.2)
Cash Flow Hedge      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance 7.3 (18.4) (53.5)
Other comprehensive income/(loss), net of tax (0.6) 25.7 35.1
Ending balance 6.7 7.3 (18.4)
Accumulated Other Comprehensive Loss, net      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance (25.2) (51.8) (90.6)
Other comprehensive income/(loss), net of tax 9.2 26.6 38.8
Ending balance $ (16.0) $ (25.2) $ (51.8)