Divestiture, Restructuring and Impairments - Schedule of Impairment and Restructuring Costs by Category and Segment (Detail) $ in Millions	12 Months Ended
	Oct. 31, 2020 USD ($)
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	$ 22.0
Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	5.6
Contract Termination and Other Costs [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	4.3
Asset Impairments [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	12.1
Fire & Emergency [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	9.4
Fire & Emergency [Member] | Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	3.2
Fire & Emergency [Member] | Contract Termination and Other Costs [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	2.9
Fire & Emergency [Member] | Asset Impairments [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	3.3
Commercial [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	0.2
Commercial [Member] | Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	0.2
Recreation [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	0.4
Recreation [Member] | Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	0.4
Corporate And Other [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	12.0
Corporate And Other [Member] | Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	1.8
Corporate And Other [Member] | Contract Termination and Other Costs [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	1.4
Corporate And Other [Member] | Asset Impairments [Member]
Restructuring Cost And Reserve [Line Items]
Impairment and restructuring costs	$ 8.8