Business Segment Information - Reconciliation of Segment Adjusted EBITDA to Net Income (Loss) (Detail) - USD ($) $ in Millions	3 Months Ended				6 Months Ended
	Apr. 30, 2024	Jan. 31, 2024	Apr. 30, 2023	Jan. 31, 2023	Apr. 30, 2024	Apr. 30, 2023
Segment Reporting Information [Line Items]
Interest expense, net	$ (6.5)		$ (7.4)		$ (13.4)	$ (14.5)
Provision for income taxes	(2.7)		(5.8)		(64.1)	(0.7)
Restructuring costs	(3.7)				(4.5)
Impairment charges					(12.6)
Stock-based compensation expense					(5.9)	(7.5)
Gain (Loss) on sale of business	1.5		(1.1)		259.0	(1.1)
Net income	15.2	$ 182.7	14.2	$ (13.5)	197.9	0.7
Operating Segment [Member] | Specialty Vehicles [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	33.8		20.3		60.0	25.6
Operating Segment [Member] | Recreational Vehicles [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	12.1		29.1		23.7	53.4
Operating Segment [Member] | Corporate and Other [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	(8.4)		(7.5)		(15.7)	(15.8)
Reconciling Items [Member]
Segment Reporting Information [Line Items]
Depreciation and amortization	(6.5)		(6.5)		(13.0)	(13.4)
Interest expense, net	(6.5)		(7.4)		(13.4)	(14.5)
Provision for income taxes	(2.7)		(5.8)		(64.1)	(0.7)
Transaction expenses	(1.4)		(0.2)		(6.4)	(0.4)
Sponsor expense reimbursement					(0.2)	(0.2)
Restructuring costs	(3.7)				(4.5)
Restructuring related charges			(3.2)		(6.1)	(8.8)
Impairment charges					(12.6)
Stock-based compensation expense	(3.0)		(1.6)		(5.9)	(7.5)
Legal matters			(1.6)		(2.9)	(15.4)
Gain (Loss) on sale of business	1.5		(1.1)		259.0	(1.1)
Other items			(0.3)			(0.5)
Net income	$ 15.2		$ 14.2		$ 197.9	$ 0.7