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Acquisitions - Schedule of Acquisition of Business (Details) $ in Thousands | 12 Months Ended
--- | ---
Aug. 28, 2021 USD ($) Business | Aug. 29, 2020 USD ($) Business | Aug. 31, 2019 USD ($) Business
Business Acquisition [Line Items] |  |  |
Goodwill | $ 429,538 | $ 424,844 | $ 401,178
Aggregate Information Relating to Acquisition of Businesses |  |  |
Business Acquisition [Line Items] |  |  |
Number of businesses acquired | Business | 8 | 8 | 6
Tangible assets acquired | $ 812 | $ 6,370 | $ 322
Goodwill | 4,533 | 23,544 | 3,929
Customer contracts | 3,219 | 12,697 | 1,344
Other intangible assets | 179 | 594 | 118
Liabilities assumed |  | (1,872) |
Acquisition of businesses | $ 8,743 | $ 41,333 | $ 5,713

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