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Stock-Based Compensation (Details) - USD ($)
$ in Thousands, shares in Millions
3 Months Ended 9 Months Ended
May 28, 2022
May 29, 2021
May 28, 2022
May 29, 2021
Dec. 11, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Stock-based compensation $ 5,600 $ 4,700 $ 12,518 $ 11,719  
Incentive Compensation Plan 2019          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of awards issued under the plan (in shares)         4.1