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Goodwill and Other Intangible Assets - Schedule of Changes in Intangible Assets and Goodwill (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 27, 2022 | Aug. 28, 2021
Finite-Lived Intangible Assets [Line Items] |  |
Goodwill | $ 27,964 | $ 4,533
Total intangible assets and goodwill acquired | 39,221 | 7,931
Customer contracts |  |
Finite-Lived Intangible Assets [Line Items] |  |
Intangible assets | $ 10,450 | $ 3,219
Weighted average life | 13 years 9 months 18 days | 10 years
Other intangible assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Intangible assets | $ 807 | $ 179
Weighted average life | 6 years 1 month 6 days | 5 years

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