Accumulated Other Comprehensive Loss, Net (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,070.1	$ 904.0
Other comprehensive income, net of tax	22.9	(1.4)
Ending balance	1,176.6	953.0
Foreign Currency Translation Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(34.4)
Other comprehensive income, net of tax	8.2
Ending balance	(26.2)
Pension Benefits Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(2.7)
Other comprehensive income, net of tax	0.0
Ending balance	(2.7)
Cash Flow Hedge
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(53.5)
Other comprehensive income, net of tax	14.7
Ending balance	(38.8)
Accumulated Other Comprehensive Loss, net
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(90.6)	(25.1)
Other comprehensive income, net of tax	22.9	(1.4)
Ending balance	$ (67.7)	$ (26.5)