Divestiture, Restructuring and Impairments - Additional Information (Detail) - USD ($) $ in Millions	3 Months Ended					12 Months Ended
	Oct. 31, 2020	Jul. 31, 2020	Jan. 31, 2020	Apr. 30, 2019	Jan. 31, 2019	Oct. 31, 2020	Oct. 31, 2019	Oct. 31, 2018
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]
Net cash proceeds from sale of business						$ 54.5
Gain on sale of business						(11.1)
Proceeds from sale of businesses						54.5
Restructuring						9.9	$ 5.7	$ 7.2
Impairment charges						12.1	8.9	$ 35.6
Restructuring charges accrued	$ 2.6					2.6	0.9
REV Coach Segment [Member]
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]
Net cash proceeds from sale of business			$ 4.0
Proceeds from sale of businesses			$ 4.0
Property, plant and equipment, net							0.2
Inventories, net							14.0
Accounts receivable, net							0.4
Other current and long-term assets							4.9
Accounts payable							11.7
Other current and long-term liabilities							$ 3.7
Mobility Van Business [Member] | Commercial Segment [Member]
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]
Annual sales of discontinued operation					$ 40.0
Regional Technical Center [Member]
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]
Net cash proceeds from sale of business				$ 11.4
Gain on sale of business				1.2
Proceeds from sale of businesses				$ 11.4
Shuttle Bus Businesses [Member]
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]
Net cash proceeds from sale of business	1.6	$ 48.9
Gain on sale of business						$ 11.1
Proceeds from sale of businesses	$ 1.6	$ 48.9