Accumulated Other Comprehensive Loss, Net (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,247.3	$ 1,005.6	$ 1,070.1	$ 904.0
Other comprehensive income, net of tax	6.7	(12.2)	47.1	(30.5)
Ending balance	1,329.9	1,047.3	1,329.9	1,047.3
Foreign Currency Translation Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance			(34.4)
Other comprehensive income, net of tax			15.5
Ending balance	(18.9)		(18.9)
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			31.6
Ending balance	(21.9)		(21.9)
Accumulated Other Comprehensive Loss, net
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(50.2)	(43.4)	(90.6)	(25.1)
Other comprehensive income, net of tax	6.7	(12.2)	47.1	(30.5)
Ending balance	$ (43.5)	$ (55.6)	$ (43.5)	$ (55.6)