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Acquisitions - Schedule of Acquisition of Business (Details)
$ in Thousands
12 Months Ended
Aug. 29, 2020
USD ($)
Business
Aug. 31, 2019
USD ($)
Business
Aug. 25, 2018
USD ($)
Business
Business Acquisition [Line Items]      
Goodwill $ 424,844 $ 401,178 $ 397,422
Aggregate Information Relating to Acquisition of Businesses      
Business Acquisition [Line Items]      
Number of businesses acquired | Business 8 6 9
Tangible assets acquired $ 6,370 $ 322 $ 7,743
Goodwill 23,544 3,929 21,459
Customer contracts 12,697 1,344 11,751
Other intangible assets 594 118 900
Liabilities assumed (1,872)   (95)
Acquisition of businesses $ 41,333 $ 5,713 $ 41,758