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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details)
$ in Thousands
6 Months Ended
Feb. 26, 2022
USD ($)
Goodwill And Intangible Assets Disclosure [Abstract]  
Beginning balance $ 429,538
Goodwill recorded during the period 28,237
Other (57)
Ending balance $ 457,718