Acquisitions - Narrative (Details) $ in Thousands		5 Months Ended	12 Months Ended
	Mar. 13, 2023 USD ($)	Aug. 26, 2023 USD ($)	Aug. 26, 2023 USD ($) Business	Aug. 27, 2022 USD ($)	Aug. 28, 2021 USD ($)
Business Acquisition [Line Items]
Revenues			$ 2,233,047	$ 2,000,822	$ 1,826,216
Intangible assets, amortization expense recognized in earnings			$ 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]
Acquisition date			Mar. 13, 2023
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		$ 43,000	$ 2,300,000	$ 2,100,000
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