Goodwill and Purchased Intangible Assets - Schedule of Changes in Goodwill (Details) - USD ($)		3 Months Ended		12 Months Ended
	Oct. 01, 2022	Sep. 30, 2022	Dec. 31, 2021	Dec. 31, 2022	Sep. 30, 2021
Changes in goodwill
Net goodwill at the beginning of the period			$ 1,052,000,000.0	$ 1,049,000,000.0	$ 1,009,500,000
Foreign currency translation			(3,000,000.0)	(12,300,000)	(1,900,000)
Acquisition				7,400,000	44,400,000
Impairment	$ 0	$ 2,100,000		2,100,000
Net goodwill at the end of the period			1,049,000,000.0	1,042,000,000.0	1,052,000,000.0
Access Equipment
Changes in goodwill
Net goodwill at the beginning of the period			880,600,000	877,600,000	882,600,000
Foreign currency translation			(3,000,000.0)	(11,800,000)	(2,000,000.0)
Net goodwill at the end of the period			877,600,000	865,800,000	880,600,000
Defense
Changes in goodwill
Net goodwill at the beginning of the period			44,400,000	44,400,000
Acquisition					44,400,000
Net goodwill at the end of the period			44,400,000	44,400,000	44,400,000
Fire & Emergency
Changes in goodwill
Net goodwill at the beginning of the period			106,100,000	106,100,000	106,100,000
Foreign currency translation				(300,000)
Acquisition				7,400,000
Net goodwill at the end of the period			106,100,000	113,200,000	106,100,000
Commercial
Changes in goodwill
Net goodwill at the beginning of the period			20,900,000	20,900,000	20,800,000
Foreign currency translation				(200,000)	100,000
Impairment				(2,100,000)
Net goodwill at the end of the period			$ 20,900,000	$ 18,600,000	$ 20,900,000