Income Taxes - Reconciliation of Provision for Income Taxes (Detail)	12 Months Ended
	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Income Taxes
Federal tax at statutory U.S. income tax rate	21.00%	21.00%	21.00%
State income taxes, net	2.10%	2.20%	2.20%
Share-based compensation	(1.60%)	(1.70%)	(0.70%)
US Tax on Non-US Income (GILTI and Subpart F)	3.10%	2.80%	3.20%
Non-US Permanent Differences	(1.50%)	(0.40%)	(0.50%)
Foreign Tax Credits	(1.90%)	(1.70%)	(1.10%)
Other	(0.10%)	(1.10%)	(2.30%)
Effective tax rate	21.10%	21.10%	21.80%