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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details)
$ in Thousands
9 Months Ended
May 29, 2021
USD ($)
Goodwill And Intangible Assets Disclosure [Abstract]  
Beginning balance $ 424,844
Goodwill recorded during the period 4,533
Other 385
Ending balance $ 429,762