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Investments and Fair Value Measurements - Assets and Liabilities Measured at Fair Value (Details) - USD ($) | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
May 28, 2022 | May 29, 2021 | May 28, 2022 | May 29, 2021 | Aug. 28, 2021
Fair Value, Measurements, Recurring |  |  |  |  |
Assets that fund deferred compensation |  |  |  |  |
Domestic equity funds | $ 1,206,000 |  | $ 1,206,000 |  | $ 940,000
International equity funds | 61,000 |  | 61,000 |  | 41,000
Fixed income funds | 183,000 |  | 183,000 |  | 46,000
Total assets at fair value | 1,450,000 |  | 1,450,000 |  | 1,027,000
Contingent consideration |  |  |  |  |
Earnout liability | 35,147,000 |  | 35,147,000 |  |
Total liabilities at fair value | 35,147,000 |  | 35,147,000 |  |
Fair Value, Measurements, Recurring | Level 1 |  |  |  |  |
Assets that fund deferred compensation |  |  |  |  |
Domestic equity funds | 1,206,000 |  | 1,206,000 |  | 940,000
International equity funds | 61,000 |  | 61,000 |  | 41,000
Fixed income funds | 183,000 |  | 183,000 |  | 46,000
Total assets at fair value | 1,450,000 |  | 1,450,000 |  | 1,027,000
Contingent consideration |  |  |  |  |
Earnout liability | 0 |  | 0 |  |
Total liabilities at fair value | 0 |  | 0 |  |
Fair Value, Measurements, Recurring | Level 2 |  |  |  |  |
Assets that fund deferred compensation |  |  |  |  |
Domestic equity funds | 0 |  | 0 |  | 0
International equity funds | 0 |  | 0 |  | 0
Fixed income funds | 0 |  | 0 |  | 0
Total assets at fair value | 0 |  | 0 |  | 0
Contingent consideration |  |  |  |  |
Earnout liability | 0 |  | 0 |  |
Total liabilities at fair value | 0 |  | 0 |  |
Fair Value, Measurements, Recurring | Level 3 |  |  |  |  |
Assets that fund deferred compensation |  |  |  |  |
Domestic equity funds | 0 |  | 0 |  | 0
International equity funds | 0 |  | 0 |  | 0
Fixed income funds | 0 |  | 0 |  | 0
Total assets at fair value | 0 |  | 0 |  | $ 0
Contingent consideration |  |  |  |  |
Earnout liability | 35,147,000 |  | 35,147,000 |  |
Total liabilities at fair value | 35,147,000 |  | 35,147,000 |  |
Fair Value, Nonrecurring |  |  |  |  |
Contingent consideration |  |  |  |  |
Asset impairment charges | $ 0 | $ 0 | $ 0 | $ 0 |

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