Business Segment Information - Schedule of Selected Financial Information (Detail) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 30, 2022	Apr. 30, 2021	Apr. 30, 2022	Apr. 30, 2021	Oct. 31, 2021
Segment Reporting Information [Line Items]
Net sales	$ 576.3	$ 643.6	$ 1,113.3	$ 1,197.6
Depreciation and amortization	8.7	8.0	18.3	16.7
Capital expenditures	4.0	5.7	8.5	8.6
Total assets	1,285.8	1,292.9	1,285.8	1,292.9	$ 1,238.3
Operating Segment [Member] | Fire & Emergency [Member]
Segment Reporting Information [Line Items]
Net sales	245.0	307.6	482.4	588.2
Depreciation and amortization	4.0	3.0	8.4	6.1
Capital expenditures	1.8	3.6	4.2	4.9
Total assets	657.8	694.4	657.8	694.4
Adjusted EBITDA	(2.2)	21.7	(0.4)	31.9
Operating Segment [Member] | Commercial [Member]
Segment Reporting Information [Line Items]
Net sales	90.7	98.4	188.3	181.5
Depreciation and amortization	0.8	0.7	1.5	1.5
Capital expenditures	0.4	0.3	1.0	1.1
Total assets	228.8	208.1	228.8	208.1
Adjusted EBITDA	4.4	8.3	12.2	15.5
Operating Segment [Member] | Recreation [Member]
Segment Reporting Information [Line Items]
Net sales	241.0	237.9	443.6	428.0
Depreciation and amortization	3.4	3.5	7.3	7.1
Capital expenditures	1.6	0.9	2.7	1.3
Total assets	347.2	330.7	347.2	330.7
Adjusted EBITDA	28.7	25.1	45.8	40.2
Corporate, Other and Elims [Member]
Segment Reporting Information [Line Items]
Net sales	(0.4)	(0.3)	(1.0)	(0.1)
Depreciation and amortization	0.5	0.8	1.1	2.0
Capital expenditures	0.2	0.9	0.6	1.3
Total assets	52.0	59.7	52.0	59.7
Adjusted EBITDA	$ (7.1)	$ (9.6)	$ (15.5)	$ (18.7)