Segment Reporting - Revenues and Income Before Income Taxes by Geographic Area (Details) - USD ($) $ in Thousands		12 Months Ended
		Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021
Revenues From External Customers And Long Lived Assets [Line Items]
Revenues		$ 2,233,047	$ 2,000,822	$ 1,826,216
Income before income taxes		138,837	134,325	196,871
United States
Revenues From External Customers And Long Lived Assets [Line Items]
Revenues		2,054,601	1,831,089	1,672,530
Income before income taxes		129,997	128,567	187,442
Europe, Canada, Mexico and Nicaragua
Revenues From External Customers And Long Lived Assets [Line Items]
Income before income taxes	[1]	8,840	5,758	9,429
Europe and Canada
Revenues From External Customers And Long Lived Assets [Line Items]
Revenues	[1]	$ 178,446	$ 169,733	$ 153,686

[1] No country other than the U.S. accounts for greater than 10% of total long-lived assets, revenues or income before income taxes.