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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details)
$ in Thousands
6 Months Ended
Feb. 24, 2024
USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]  
Beginning balance $ 647,900
Purchase price adjustments recorded during the period 900
Other 29
Ending balance $ 648,829