Segment Reporting - Schedule of Reconciliation of Total Segment Operating Income to Consolidated Net Income (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 29, 2026	Aug. 30, 2025	Aug. 31, 2024
Segment Reporting [Abstract]
Total segment operating income	$ 136,044	$ 184,498	$ 183,578
Interest income, net	(7,234)	(9,770)	(7,242)
Other expense (income), net	1,205	(1,107)	1,441
Income before income taxes	142,073	195,375	189,379
Provision for income taxes	32,583	47,104	43,905
Net income	$ 109,490	$ 148,271	$ 145,474