Restructuring and Other Related Charges - Schedule of Pre-tax Restructuring Charges (Detail) - Fire & Emergency [Member] - USD ($) $ in Millions	3 Months Ended	6 Months Ended
Apr. 30, 2022	Apr. 30, 2022
Restructuring Cost And Reserve [Line Items]
Pre-tax restructuring charges	$ 2.9	$ 6.6
Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Pre-tax restructuring charges	1.3	4.1
Contract Termination and Other Costs [Member]
Restructuring Cost And Reserve [Line Items]
Pre-tax restructuring charges	$ 1.6	$ 2.5

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 http://asc.fasb.org/extlink&oid=123570139&loc=d3e3602-108585

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