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Stock-Based Compensation - Schedule of Stock-Based Compensation Expense (Details) - USD ($) | 3 Months Ended | 6 Months Ended
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Mar. 04, 2023 | Feb. 26, 2022 | Mar. 04, 2023 | Feb. 26, 2022
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Stock-based compensation | $ 4,979,000 | $ 4,500,000 | $ 9,969,000 | $ 10,189,000
Deferred income tax benefit | (1,259,000) | (1,139,000) | (2,492,000) | (2,476,000)
Stock-based compensation expense, net | 3,720,000 | 3,361,000 | 7,477,000 | 7,713,000
Stock options |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Stock-based compensation | 0 | 217,000 | 101,000 | 805,000
Restricted stock units |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Stock-based compensation | 3,957,000 | 3,306,000 | 7,668,000 | 8,009,000
Performance share units |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Stock-based compensation | 945,000 | 889,000 | 2,040,000 | 1,197,000
Associate Stock Purchase Plan |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Stock-based compensation | $ 77,000 | $ 88,000 | $ 160,000 | $ 178,000

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