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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 29, 2020
Aug. 31, 2019
Goodwill And Intangible Assets Disclosure [Abstract]    
Beginning balance $ 401,178 $ 397,422
Goodwill recorded during the period 23,544 3,885
Other 122 (129)
Ending balance $ 424,844 $ 401,178