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Share-based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended |
--- | --- | ---
Aug. 30, 2025 | Aug. 31, 2024 | Aug. 26, 2023 | Oct. 31, 2023
Stock Appreciation Rights (SARs) |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Percentage vested after each anniversary of the grant date | 33.00% |  |  |
Expiration period | 10 years |  |  |
Weighted average fair values of Share-Based Awards granted (in dollars per share) | $ 64.32 | $ 55.97 | $ 60.38 |
Stock Appreciation Rights (SARs) | Cliff Vesting |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Period awards become fully vested or exercisable | 3 years |  |  |
Share-Based Awards |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Total compensation cost not yet recognized related to non-vested awards | $ 16.9 |  |  |
Period for recognition | 2 years 3 months |  |  |
Time-Based Restricted Stock Units |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Percentage vested after each anniversary of the grant date | 33.00% |  |  |
Period awards become fully vested or exercisable | 3 years |  |  |
Non-Employee Directors | Unrestricted Stock |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Shares granted (in shares) | 1,662 | 1,475 | 1,575 |
The 2023 Plan |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Number of shares reserved for issuance (in shares) |  |  |  | 375,000
Shares available for future grants (in shares) | 352,741 |  |  |
The 2023 Plan | Non-Employee Directors | Stock Appreciation Rights (SARs) |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Shares granted (in shares) | 4,938 | 5,004 | 6,864 |

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