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Revenue and Customer Contract Balances - Additional information (Details) - USD ($)
$ in Millions
6 Months Ended
Feb. 24, 2023
Aug. 26, 2022
Disaggregation Of Revenue [Line Items]    
Expected revenue recognized on remaining performance obligations $ 61.8  
Revenue recognized 29.8  
Estimates of consideration payable to customers, including estimates for pricing adjustments and returns 12.0 $ 15.4
Customer Advances    
Disaggregation Of Revenue [Line Items]    
Revenue recognized 1.8  
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date: 2023-02-25    
Disaggregation Of Revenue [Line Items]    
Expected revenue recognized on remaining performance obligations $ 49.3  
Revenue, remaining performance obligation, expected timing of satisfaction, period 12 months