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Revenue and Customer Contract Balances - Additional information (Details) - USD ($)
$ in Millions
9 Months Ended
May 27, 2022
Aug. 27, 2021
Disaggregation Of Revenue [Line Items]    
Expected revenue recognized on remaining performance obligations $ 19.3  
Revenue recognized 12.9  
Estimates of consideration payable to customers, including estimates for pricing adjustments and returns 19.2 $ 24.9
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date: 2022-05-28    
Disaggregation Of Revenue [Line Items]    
Expected revenue recognized on remaining performance obligations $ 16.1  
Revenue, remaining performance obligation, expected timing of satisfaction, period 12 months  
Customer Advances    
Disaggregation Of Revenue [Line Items]    
Revenue recognized $ 5.2