Business Segment Information - Net Sales by Geographic Region Based on Product Shipment Destination (Detail) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2020	Oct. 31, 2019	Oct. 31, 2018
Segment Reporting Information [Line Items]
Net sales	$ 2,277.6	$ 2,403.7	$ 2,381.3
Corporate, Other and Elims [Member]
Segment Reporting Information [Line Items]
Net sales	3.0	(0.5)
U.S. and Canada [Member]
Segment Reporting Information [Line Items]
Net sales	2,224.7	2,328.4	2,352.5
U.S. and Canada [Member] | Corporate, Other and Elims [Member]
Segment Reporting Information [Line Items]
Net sales	3.0	(0.5)
Europe/Africa [Member]
Segment Reporting Information [Line Items]
Net sales	1.6	3.9	3.4
Rest of World [Member]
Segment Reporting Information [Line Items]
Net sales	51.3	71.4	25.4
Fire & Emergency [Member]
Segment Reporting Information [Line Items]
Net sales	1,132.0	967.9	956.6
Fire & Emergency [Member] | U.S. and Canada [Member]
Segment Reporting Information [Line Items]
Net sales	1,088.8	909.0	938.2
Fire & Emergency [Member] | Europe/Africa [Member]
Segment Reporting Information [Line Items]
Net sales	0.5	3.1	3.3
Fire & Emergency [Member] | Rest of World [Member]
Segment Reporting Information [Line Items]
Net sales	42.7	55.8	15.1
Commercial [Member]
Segment Reporting Information [Line Items]
Net sales	484.8	720.0	638.5
Commercial [Member] | U.S. and Canada [Member]
Segment Reporting Information [Line Items]
Net sales	480.2	713.5	632.3
Commercial [Member] | Europe/Africa [Member]
Segment Reporting Information [Line Items]
Net sales	0.9	0.2
Commercial [Member] | Rest of World [Member]
Segment Reporting Information [Line Items]
Net sales	3.7	6.3	6.2
Recreation [Member]
Segment Reporting Information [Line Items]
Net sales	657.8	716.3	811.9
Recreation [Member] | U.S. and Canada [Member]
Segment Reporting Information [Line Items]
Net sales	652.7	706.4	808.2
Recreation [Member] | Europe/Africa [Member]
Segment Reporting Information [Line Items]
Net sales	0.2	0.6
Recreation [Member] | Rest of World [Member]
Segment Reporting Information [Line Items]
Net sales	$ 4.9	$ 9.3	3.7
Corporate And Other [Member]
Segment Reporting Information [Line Items]
Net sales			(25.7)
Corporate And Other [Member] | U.S. and Canada [Member]
Segment Reporting Information [Line Items]
Net sales			(26.2)
Corporate And Other [Member] | Europe/Africa [Member]
Segment Reporting Information [Line Items]
Net sales			0.1
Corporate And Other [Member] | Rest of World [Member]
Segment Reporting Information [Line Items]
Net sales			$ 0.4