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Revenue and Customer Contract Balances - Additional information (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 26, 2021
Aug. 27, 2021
Disaggregation Of Revenue [Line Items]    
Expected revenue recognized on remaining performance obligations $ 14.9  
Revenue recognized 5.8  
Estimates of consideration payable to customers, including estimates for pricing adjustments and returns 25.1 $ 24.9
Customer Advances    
Disaggregation Of Revenue [Line Items]    
Revenue recognized $ 1.3