Segment Reporting - Revenues and Income Before Income Taxes by Geographic Area (Details) - USD ($) $ in Thousands		12 Months Ended
		Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Revenues From External Customers And Long Lived Assets [Line Items]
Revenues		$ 2,000,822	$ 1,826,216	$ 1,804,159
Income before income taxes		134,325	196,871	177,888
United States
Revenues From External Customers And Long Lived Assets [Line Items]
Revenues		1,831,089	1,672,530	1,659,913
Income before income taxes		128,567	187,442	175,301
Europe, Canada, Mexico and Nicaragua
Revenues From External Customers And Long Lived Assets [Line Items]
Income before income taxes	[1]	5,758	9,429	2,587
Europe and Canada
Revenues From External Customers And Long Lived Assets [Line Items]
Revenues	[1]	$ 169,733	$ 153,686	$ 144,246

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