Accumulated Other Comprehensive Loss, Net (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,176.6	$ 953.0	$ 1,070.1	$ 904.0
Other comprehensive income, net of tax	17.5	(16.9)	40.4	(18.3)
Ending balance	1,247.3	1,005.6	1,247.3	1,005.6
Foreign Currency Translation Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance			(34.4)
Other comprehensive income, net of tax			11.4
Ending balance	(23.0)		(23.0)
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)		(2.7)
Cash Flow Hedge
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance			(53.5)
Other comprehensive income, net of tax			29.0
Ending balance	(24.5)		(24.5)
Accumulated Other Comprehensive Loss, net
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(67.7)	(26.5)	(90.6)	(25.1)
Other comprehensive income, net of tax	17.5	(16.9)	40.4	(18.3)
Ending balance	$ (50.2)	$ (43.4)	$ (50.2)	$ (43.4)