Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 29, 2026	Aug. 30, 2025
Goodwill [Roll Forward]
Beginning balance	$ 657,748	$ 648,850
Goodwill recorded during the period	17,690	8,935
Other	(53)	(37)
Ending balance	$ 675,385	$ 657,748