Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Detail) - USD ($) $ in Millions	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Dec. 31, 2021	Dec. 31, 2020
Goodwill [Roll Forward]
Goodwill	$ 460.8	$ 474.3	$ 472.4	$ 478.4
Accumulated goodwill impairment losses	(81.1)	(81.1)	(81.1)	(81.1)
Currency translation effect on foreign goodwill balances	(11.6)	(4.1)
Goodwill	379.7	393.2	391.3	397.3
Off-Road
Goodwill [Roll Forward]
Goodwill	171.0	172.4	172.5	172.4
Accumulated goodwill impairment losses	(60.8)	(60.8)	(60.8)	(60.8)
Currency translation effect on foreign goodwill balances	(1.5)	0.0
Goodwill	110.2	111.6	111.7	111.6
On-Road
Goodwill [Roll Forward]
Goodwill	62.7	74.8	72.8	78.9
Accumulated goodwill impairment losses	(20.3)	(20.3)	(20.3)	(20.3)
Currency translation effect on foreign goodwill balances	(10.1)	(4.1)
Goodwill	42.4	54.5	52.5	58.6
Marine
Goodwill [Roll Forward]
Goodwill	227.1	227.1	227.1	227.1
Goodwill	$ 227.1	$ 227.1	$ 227.1	$ 227.1