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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. 31, 2019
Aug. 25, 2018
Goodwill And Intangible Assets Disclosure [Abstract]    
Beginning balance $ 397,422 $ 376,110
Goodwill recorded during the period 3,885 21,500
Other (129) (188)
Ending balance $ 401,178 $ 397,422