Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 30, 2025	Aug. 31, 2024
Goodwill and Intangible Assets Disclosure [Abstract]
Beginning balance	$ 648,850	$ 647,900
Purchase price adjustments recorded during the period		900
Goodwill recorded during the period	8,935
Other	(37)	50
Ending balance	$ 657,748	$ 648,850