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Fair Value Measurements - Schedule of Assets or Liabilities Measured at Fair Value on a Recurring Basis (Details) - Fair Value, Measurements, Recurring - USD ($) $ in Thousands | Aug. 27, 2022 | Aug. 28, 2021
--- | --- | ---
Assets: |  |
Cash equivalents | $ 197,121 | $ 197,081
Pension plan assets | 3,291 | 3,795
Non-qualified deferred compensation plan assets | 1,263 |
Foreign currency forward contracts | 83 | 41
Total assets at fair value | 201,758 | 200,917
Level 1 |  |
Assets: |  |
Cash equivalents | 197,121 | 197,081
Pension plan assets | 0 | 0
Foreign currency forward contracts | 0 | 0
Total assets at fair value | 197,121 | 197,081
Level 2 |  |
Assets: |  |
Cash equivalents | 0 | 0
Pension plan assets | 3,291 | 3,795
Non-qualified deferred compensation plan assets | 1,263 |
Foreign currency forward contracts | 83 | 41
Total assets at fair value | 4,637 | 3,836
Level 3 |  |
Assets: |  |
Cash equivalents | 0 | 0
Pension plan assets | 0 | 0
Foreign currency forward contracts | 0 | 0
Total assets at fair value | $ 0 | $ 0

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