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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 25, 2018
Aug. 26, 2017
Goodwill [Roll Forward]    
Beginning balance $ 376,110 $ 320,641
Goodwill recorded during the period 21,500 55,302
Other (188) 167
Ending balance $ 397,422 $ 376,110