Acquisitions - Schedule of Aggregate Information Relating to Acquisition of Businesses (Details) - USD ($) $ in Thousands	Aug. 29, 2026	Aug. 30, 2025	Aug. 31, 2024
Business Acquisition [Line Items]
Goodwill	$ 675,385	$ 657,748	$ 648,850
Current Acquisition of Businesses
Business Acquisition [Line Items]
Cash and cash equivalents	282	0
Tangible assets acquired	3,797	1,088
Goodwill	17,690	8,935
Customer contracts	5,920	3,749
Other intangible assets	256	217
Liabilities assumed	(304)	0
Total consideration paid for acquisition of businesses	27,641	13,989
Contingent consideration	(3,331)	0
Contingent holdbacks	(406)	(2,078)
Acquisition of businesses, net of contingent consideration and holdbacks	$ 23,904	$ 11,911