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Associate Benefit Plans - Schedule of Stock-Based Compensation Expense (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 02, 2023
Sep. 03, 2022
Aug. 28, 2021
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation $ 18,639 $ 19,264 $ 17,721
Deferred income tax benefit (4,619) (4,720) (4,324)
Stock-based compensation expense, net 14,020 14,544 13,397
Stock options      
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation 101 1,261 2,285
Restricted Stock Unit      
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation 14,933 14,810 13,976
Performance Share Units      
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation 3,311 2,883 1,233
Associate Stock Purchase Plan      
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Stock-based compensation $ 294 $ 310 $ 227