Warranties - Schedule of Changes in Assurance-type Warranty Liability (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Dec. 31, 2021	Dec. 31, 2022	Sep. 30, 2021	Sep. 30, 2020
Product Warranties Disclosures [Abstract]
Balance at beginning of period	$ 69.0	$ 65.7	$ 67.4	$ 65.1
Warranty provisions	10.8	49.3	50.1	43.1
Settlements made	(14.6)	(57.7)	(65.0)	(55.9)
Changes in liability for pre-existing warranties, net	0.5	1.5	16.2	14.8
Foreign currency translation		(0.2)		0.3
Acquisition		0.2	0.3
Balance at end of period	$ 65.7	$ 58.8	$ 69.0	$ 67.4