Business Segment Information - Reconciliation of Segment Adjusted EBITDA to Net Income (Detail) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2023	Oct. 31, 2022	Oct. 31, 2021
Segment Reporting Information [Line Items]
Interest expense, net	$ (28.6)	$ (16.9)	$ (17.3)
Losses on extinguishment of debt			(1.4)
Provision for income taxes	(12.9)	(4.6)	(11.3)
Restructuring	0.0	(9.4)	(2.5)
Impairment charges			(1.5)
Stock-based compensation expense	(14.4)	(8.7)	(7.8)
Net income	45.3	15.2	44.4
Corporate and Other [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	(33.0)	(30.6)	(33.2)
Operating Segment [Member] | Fire & Emergency [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	52.5	2.5	57.7
Operating Segment [Member] | Commercial [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	46.1	22.3	31.0
Operating Segment [Member] | Recreation [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	91.0	110.9	86.0
Reconciling Items [Member]
Segment Reporting Information [Line Items]
Depreciation and amortization	(26.2)	(32.3)	(32.0)
Interest expense, net	(28.6)	(16.9)	(17.3)
Losses on extinguishment of debt			(1.4)
Provision for income taxes	(12.9)	(4.6)	(11.3)
Transaction expenses	(0.5)	(0.7)	(3.2)
Sponsor expense reimbursement	(0.3)	(0.1)	(0.4)
Restructuring		(9.4)	(2.5)
Restructuring related charges	(10.5)	(9.7)	(0.3)
Impairment charges			(1.5)
Stock-based compensation expense	(14.4)	(8.7)	(7.8)
Legal matters	(16.6)	(7.4)	(4.0)
Net loss on sale of business and assets		(0.1)	(7.9)
Loss on acquisition of business			(0.4)
Other items	(1.3)		(6.1)
Loss attributable to assets held for sale			(1.0)
Net income	$ 45.3	$ 15.2	$ 44.4