401(k) Savings Plans - Additional Information (Detail) - USD ($) $ in Millions	12 Months Ended
Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021
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	$ 37.3	$ 37.9	$ 34.1

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
-Name Accounting Standards Codification
-Section 45
-Paragraph 25
-Subparagraph (g)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482740/230-10-45-25

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