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Associate Benefit Plans - Schedule of Stock-Based Compensation Expense (Details) - USD ($) $ in Thousands | 12 Months Ended
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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

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