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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) $ in Thousands	9 Months Ended
	May 25, 2024 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Beginning balance	$ 647,900
Purchase price adjustments recorded during the period	900
Other	(5)
Ending balance	$ 648,795

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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