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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) $ in Thousands	9 Months Ended
	May 27, 2023 USD ($)
Goodwill and Intangible Assets Disclosure [Abstract]
Beginning balance	$ 457,259
Goodwill recorded during the period	191,289
Other	(144)
Ending balance	$ 648,404

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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