Restructuring and Other Related Charges - Schedule of Pre-tax Restructuring Charges (Detail) - Fire & Emergency [Member] - USD ($) $ in Millions	3 Months Ended	9 Months Ended
Jul. 31, 2022	Jul. 31, 2022
Restructuring Cost And Reserve [Line Items]
Pre-tax restructuring charges	$ 2.3	$ 8.9
Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Pre-tax restructuring charges	0.2	4.3
Contract Termination and Other Costs [Member]
Restructuring Cost And Reserve [Line Items]
Pre-tax restructuring charges	$ 2.1	$ 4.6

Amount, after cash payment, of expenses associated with exit or disposal activities pursuant to an authorized plan and expenses resulting from the write-down of assets. Excludes expenses related to a business combination, a discontinued operation or an asset retirement obligation.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3602-108585

Name:	us-gaap_RestructuringCostsAndAssetImpairmentCharges
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration