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Business Segment Information - Reconciliation of Segment Adjusted EBITDA to Net Income (Loss) (Detail) - USD ($)
$ in Millions
 3 Months Ended
Jan. 31, 2024
Jan. 31, 2023
Segment Reporting Information [Line Items]    
Interest expense, net $ (6.8) $ (7.1)
(Provision) benefit for income taxes (61.5) 5.1
Restructuring costs (0.8)  
Impairment charges (12.6)  
Stock-based compensation expense (2.9) (5.9)
Gain on sale of business 257.5  
Net income (loss) 182.7 (13.5)
Operating Segment [Member] | Specialty Vehicles [Member]    
Segment Reporting Information [Line Items]    
Adjusted EBITDA 26.2 5.3
Operating Segment [Member] | Recreational Vehicles [Member]    
Segment Reporting Information [Line Items]    
Adjusted EBITDA 11.6 24.3
Operating Segment [Member] | Corporate and Other [Member]    
Segment Reporting Information [Line Items]    
Adjusted EBITDA (7.3) (8.3)
Reconciling Items [Member]    
Segment Reporting Information [Line Items]    
Depreciation and amortization (6.5) (6.9)
Interest expense, net (6.8) (7.1)
(Provision) benefit for income taxes (61.5) 5.1
Transaction expenses (5.0) (0.2)
Sponsor expense reimbursement (0.2) (0.2)
Restructuring costs (0.8)  
Restructuring related charges (6.1) (5.6)
Impairment charges (12.6)  
Stock-based compensation expense (2.9) (5.9)
Legal matters (2.9) (13.8)
Gain on sale of business 257.5  
Other items   (0.2)
Net income (loss) $ 182.7 $ (13.5)