Business Segment Information - Reconciliation of Segment Adjusted EBITDA to Net (Loss) Income (Detail) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2020	Oct. 31, 2019	Oct. 31, 2018
Segment Reporting Information [Line Items]
Interest expense, net	$ (25.7)	$ (32.5)	$ (25.6)
Benefit for income taxes	15.6	3.5	10.8
Restructuring costs	(9.9)	(5.7)	(7.2)
Stock-based compensation expense	(7.8)	(7.2)	(6.3)
Loss on sale of business	(11.1)
Gain on acquisition of business	8.6
Impairment charges	(12.1)	(8.9)	(35.6)
Net (loss) income	(30.5)	(12.3)	13.0
Corporate And Other [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	(45.3)	(43.9)	(36.5)
Operating Segment [Member] | Fire & Emergency [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	39.9	43.2	86.0
Operating Segment [Member] | Commercial [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	34.5	56.0	38.1
Operating Segment [Member] | Recreation [Member]
Segment Reporting Information [Line Items]
Adjusted EBITDA	38.4	46.8	60.4
Reconciling Items [Member]
Segment Reporting Information [Line Items]
Depreciation and amortization	(40.2)	(45.4)	(45.5)
Interest expense, net	(25.7)	(32.4)	(25.3)
Benefit for income taxes	15.6	3.5	12.2
Transaction expenses	(3.3)	(1.0)	(2.8)
Sponsor expense reimbursement	(0.5)	(1.4)	(0.9)
Restructuring costs	(9.9)	(5.7)	(7.0)
Restructuring related charges	(10.5)
Stock-based compensation expense	(7.8)	(7.2)	(6.3)
Legal matters	(1.8)	(7.7)	(5.5)
Loss on sale of business	(11.1)
Gain on acquisition of business	8.6
Impairment charges	(12.1)	(8.9)	(35.6)
Earnings (losses) attributable to assets held for sale	0.8	(4.7)	(9.9)
Deferred purchase price payment	$ (0.1)	$ (3.5)	(6.0)
First year public company costs			(1.5)
Non-cash purchase accounting expense			$ (0.9)