Acquisitions - Narrative (Details) $ in Thousands	3 Months Ended	5 Months Ended	12 Months Ended
	May 27, 2023 USD ($)	Aug. 26, 2023 USD ($)	Aug. 31, 2024 USD ($)	Aug. 26, 2023 USD ($) Business	Aug. 27, 2022 USD ($)
Business Acquisition [Line Items]
Revenues			$ 2,427,431	$ 2,233,047	$ 2,000,822
Intangible assets, amortization expense recognized in earnings			$ 18,800	$ 14,700	$ 10,900
Aggregate Information Relating to Acquisition of Businesses
Business Acquisition [Line Items]
Number of business acquired | Business				4
Business acquisitions, aggregate purchase price				$ 7,100
Clean Holdco, Inc.
Business Acquisition [Line Items]
Business acquisitions, aggregate purchase price	$ 299,100
Business combination, Difference of cash paid and total purchase price amount	302,400
Business combination estimated value of incremental tax benefits	$ 40,000
Business acquisition, transaction and related costs				3,000
Revenues				$ 2,300,000
Clean Holdco, Inc. | Customer Contracts
Business Acquisition [Line Items]
Intangible assets, amortization expense recognized in earnings		$ 3,800
Clean Holdco, Inc. | Trade Name
Business Acquisition [Line Items]
Intangible assets, amortization expense recognized in earnings		$ 900