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Business Combinations - Pro Forma Information (Details) - USD ($)
3 Months Ended 12 Months Ended
Aug. 31, 2019
Aug. 28, 2021
Aug. 29, 2020
Aug. 31, 2019
Business Acquisition [Line Items]        
Acquisition related costs $ 652,000 $ 725,000 $ 9,761,000 $ 0
Expenses related to business combination (transaction costs)        
Business Acquisition [Line Items]        
Acquisition related costs     652,000 652,000
Newmar Corporation        
Business Acquisition [Line Items]        
Net revenues     2,508,792,000 2,645,914,000
Net income     $ 72,609,000 $ 101,692,000
Earnings per share - basic (in dollars per share)     $ 2.16 $ 3.03
Earnings per share - diluted (in dollars per share)     $ 2.11 $ 3.02
Acquisition related costs   $ 0 $ 9,761,000  
Newmar Corporation | Amortization of intangibles (1 year or less useful life)        
Business Acquisition [Line Items]        
Nonrecurring adjustments     13,610,000 $ (13,610,000)
Newmar Corporation | Increase in amortization of intangibles        
Business Acquisition [Line Items]        
Nonrecurring adjustments     (1,061,000) (5,578,000)
Newmar Corporation | Expenses related to business combination (transaction costs)        
Business Acquisition [Line Items]        
Nonrecurring adjustments     9,761,000 (9,950,000)
Newmar Corporation | Interest to reflect new debt structure        
Business Acquisition [Line Items]        
Nonrecurring adjustments     (4,356,000) (19,155,000)
Newmar Corporation | Taxes related to the adjustments to the pro forma data and to the income of Newmar        
Business Acquisition [Line Items]        
Nonrecurring adjustments     $ (2,968,000) $ 2,686,000