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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. 26, 2023	Aug. 27, 2022
Goodwill and Intangible Assets Disclosure [Abstract]
Beginning balance	$ 457,259	$ 429,538
Goodwill recorded during the period	190,777	27,964
Other	(136)	(243)
Ending balance	$ 647,900	$ 457,259

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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