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Stock-Based Compensation Plans - Expense Components (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 28, 2021
Aug. 29, 2020
Aug. 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 15,347 $ 6,475 $ 7,058
Time-based      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense 5,737 4,287 4,986
Performance-based      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense 7,920 796 716
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense 1,019 990 925
Other      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 671 $ 402 $ 431