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Associate Benefit Plans - Narrative (Details) - USD ($) $ / shares in Units, shares in Thousands | 12 Months Ended |  |
--- | --- | --- | ---
Aug. 31, 2024 | Sep. 02, 2023 | Sep. 03, 2022 | Jan. 27, 2021 | Jan. 26, 2021
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Unrecognized share-based compensation cost | $ 0 |  |  |  |
Range One |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Share-based payment arrangement, option, exercise price range, shares outstanding (in shares) | 99,000 |  |  |  |
Range of exercise price (in USD per share) | $ 83.21 |  |  |  |
Share-based payment arrangement, option, exercise price range, outstanding, weighted average remaining contractual term | 1 year 1 month 6 days |  |  |  |
Aggregate Intrinsic Value of options outstanding | $ 0 |  |  |  |
Stock options |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Total intrinsic value of options exercised | $ 1,912,000 | $ 4,393,000 | $ 5,855,000 |  |
Share-based compensation arrangement by share-based payment award, award vesting period | 4 years |  |  |  |
Share-based compensation arrangement by share-based payment award, expiration period | 7 years |  |  |  |
Performance Share Units |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Unrecognized share-based compensation cost | $ 3,259,000 |  |  |  |
Share-based compensation arrangement by share-based payment award, award vesting period | 3 years |  |  |  |
Unrecognized share-based compensation weighted average period | 1 year 2 months 12 days |  |  |  |
Performance Share Units | Minimum | Vest After Three Year Performance Period |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Vesting percentage | 0.00% |  |  |  |
Performance Share Units | Maximum | Vest After Three Year Performance Period |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Vesting percentage | 200.00% |  |  |  |
Restricted Stock Unit |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Unrecognized share-based compensation cost | $ 25,727,000 |  |  |  |
Unrecognized share-based compensation weighted average period | 2 years 6 months |  |  |  |
2023 Omnibus Incentive Plan |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Share-based compensation arrangement by share-based payment award, number of shares authorized | 2,186 |  |  |  |
2023 Omnibus Incentive Plan | Class A Common Stock |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Share-based compensation arrangement by share-based payment award, number of shares available for grant | 2,004 |  |  |  |
Associate Stock Purchase Plan |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Share-based compensation arrangement by share-based payment award, number of shares authorized |  |  |  | 1,850 | 1,500
Share-based compensation arrangement by share-based payment award, number of shares available for grant | 182 |  |  |  |
Share-based compensation arrangement by share-based payment award, maximum number of shares per employee (in shares) | 5 |  |  |  |
Associate purchase price as percent of closing price | 90.00% |  |  |  |
Shares purchased by qualified associates (in shares) | 53 | 56 |  |  |
Share Price (in USD per share) | $ 84.15 | $ 79.41 |  |  |
Savings Plan |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |
Defined contribution plan, employer discretionary contribution amount | $ 9,727,000 | $ 9,481,000 | $ 9,019,000 |  |

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