401(k) Savings Plans - Additional Information (Detail) - USD ($) $ in Millions	12 Months Ended
Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
401(k) Savings Plans
Percentage of company matching retirement savings plan contributions that vest immediately	100.00%
Percentage of savings option up to qualified earnings	25.00%
Annual contribution by employer towards 401(k) Plan	$ 37.9	$ 34.1	$ 29.8

Amount of cash outflow for other postretirement benefit. Includes, but is not limited to, employer contribution to fund plan asset and payment to retiree. Excludes pension benefit.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 25
-Subparagraph (g)
-URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3536-108585

Name:	us-gaap_OtherPostretirementBenefitsPayments
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration