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Goodwill and Intangible Assets - Schedule of Goodwill (Details) - USD ($)
6 Months Ended
Feb. 25, 2023
Feb. 26, 2022
Goodwill [Roll Forward]    
Beginning balance $ 484,200,000 $ 348,100,000
Acquisition of Barletta   136,100,000
Ending balance 484,200,000 484,200,000
Goodwill activity 0  
Towable    
Goodwill [Roll Forward]    
Beginning balance 244,700,000 244,700,000
Acquisition of Barletta   0
Ending balance 244,700,000 244,700,000
Motorhome    
Goodwill [Roll Forward]    
Beginning balance 73,100,000 73,100,000
Acquisition of Barletta   0
Ending balance 73,100,000 73,100,000
Marine    
Goodwill [Roll Forward]    
Beginning balance 166,400,000 30,300,000
Acquisition of Barletta   136,100,000
Ending balance $ 166,400,000 $ 166,400,000