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Stock-Based Compensation - Additional Information (Details) - USD ($) |  |  |  |  | 3 Months Ended |
--- | --- | --- | --- | --- | --- | ---
Aug. 30, 2022 | Aug. 26, 2020 | Aug. 29, 2018 | Aug. 05, 2015 | Jul. 31, 2025 | Jul. 31, 2024 | Aug. 27, 2024
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Aggregate intrinsic value of outstanding options |  |  |  |  | $ 466,000 | $ 4,800,000 |
Options granted (in shares) |  |  |  |  | 61,318 | 22,281 |
Grant-date fair value of options granted |  |  |  |  | $ 875,000 | $ 350,000 |
Stock options exercised (in shares) |  |  |  |  | 0 | 0 |
Vested and exercisable stock options (in shares) |  |  |  |  | 427,448 |  |
Outstanding with an aggregate intrinsic value |  |  |  |  | $ 459,000,000 |  |
weighted average remaining contractual life (in years) |  |  |  |  | 4 years 7 months 6 days |  |
Weighted average exercise price (in dollars per share) |  |  |  |  | $ 81.23 |  |
Unvested restricted shares outstanding (in shares) |  |  |  |  | 263,779 |  |
Weighted average grant date fair value (in dollars per share) |  |  |  |  | $ 57.61 |  |
Options |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Share-based compensation expense |  |  |  |  | $ 288,000 | $ 200,800 |
Stock-based compensation expense, after Tax |  |  |  |  | 223,000 | $ 164,000 |
Unrecognized compensation cost |  |  |  |  | $ 1,600,000 |  |
Weighted average remaining vesting period (in years) |  |  |  |  | 1 year 3 months 18 days |  |
Restricted stock |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Restricted shares granted (in shares) |  |  |  |  | 29,363 | 16,364 |
Minimum | Options |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Options vesting period (in years) |  |  |  |  | 3 years |  |
Maximum | Options |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Options vesting period (in years) |  |  |  |  | 5 years |  |
2024 Equity Incentive Plan |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Number of shares authorized (in shares) |  |  |  |  |  |  | 500,000
Shares remained available for award (in shares) |  |  |  |  | 336,772 |  |
Stock-based compensation, unvested options (in shares) |  |  |  |  | 63,818 |  |
Expiration period (in days) |  |  |  |  | 10 years |  |
Restated Option Plan |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Number of shares authorized (in shares) |  |  |  | 1,800,000 | 427,448 |  |
Shares remained available for award (in shares) |  |  |  |  | 0 |  |
Share-based compensation expense |  |  |  |  | $ 1,200,000 | $ 1,300,000 |
Stock-based compensation expense, after Tax |  |  |  |  | $ 905,000 | 1,100,000 |
Number of additional shares authorized (in shares) | 185,000 | 200,000 | 200,000 | 300,000 |  |  |
Stock-based compensation, unvested options (in shares) |  |  |  |  | 230,486 |  |
Stock Incentive Plan |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Number of shares authorized (in shares) |  |  | 450,000 |  |  |  |
Number of additional shares authorized (in shares) |  |  | 100,000 |  |  |  |
Restated Incentive Plan and 2024 Equity Incentive Plan |  |  |  |  |  |  |
Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Share-based compensation expense |  |  |  |  | $ 869,000 | 1,100,000 |
Stock-based compensation expense, after Tax |  |  |  |  | 673,000 | $ 839,000 |
Unrecognized compensation cost |  |  |  |  | $ 4,900,000 |  |
Weighted average remaining vesting period (in years) |  |  |  |  | 1 year 10 months 24 days |  |

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