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Stock-Based Compensation Plans - Narrative (Details) - USD ($) $ in Millions | 12 Months Ended |
--- | --- | ---
Aug. 26, 2023 | Aug. 27, 2022 | Aug. 28, 2021 | Dec. 11, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Accrued compensation | $ 35.9 | $ 71.6 |  |
Unrecognized compensation expense related to stock options | $ 1.6 |  |  |
Stock options |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Outstanding options term | 10 years |  |  |
Vesting period | 3 years |  |  |
Unrecognized compensation expense, period of recognition | 10 months 24 days |  |  |
Performance-based |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Vesting period | 3 years |  |  |
Unrecognized compensation expense | $ 4.9 |  |  |
Unrecognized compensation expense, period of recognition | 1 year |  |  |
Total fair value of awards vested | $ 7.6 | 5.8 | $ 1.4 |
Time-based |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Unrecognized compensation expense | $ 10.1 |  |  |
Unrecognized compensation expense, period of recognition | 10 months 24 days |  |  |
Total fair value of awards vested | $ 8.8 | $ 8.0 | $ 5.2 |
Time-based | Director |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Vesting period | 1 year |  |  |
ESPP |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Number of shares authorized (in shares) | 250,000 |  |  |
Discount market price percentage | 15.00% |  |  |
Shares purchased through the ESPP (in shares) | 29,000 | 42,000 |  |
Accrued compensation | $ 0.5 | $ 0.4 |  |
Shares remain available for future issuance (in shares) | 34,000 |  |  |
Incentive Compensation Plan 2019 |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Number of shares authorized (in shares) |  |  |  | 4,100,000

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