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Restructuring and Other Related Charges - Schedule of Pre-tax Impairment and Restructuring Costs by Category and Segment (Detail) (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 impairment and restructuring costs	$ 2.3	$ 8.9
Employee Severance and Termination Benefits [Member]
Restructuring Cost And Reserve [Line Items]
Pre-tax impairment and restructuring costs	0.2	4.3
Contract Termination and Other Costs [Member]
Restructuring Cost And Reserve [Line Items]
Pre-tax impairment and restructuring costs	$ 2.1	$ 4.6

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 420
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
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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.

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