Goodwill and Other Intangible Assets - Schedule of Changes in Intangible Assets and Goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 27, 2022	Aug. 28, 2021
Finite-Lived Intangible Assets [Line Items]
Goodwill	$ 27,964	$ 4,533
Total intangible assets and goodwill acquired	39,221	7,931
Customer contracts
Finite-Lived Intangible Assets [Line Items]
Intangible assets	$ 10,450	$ 3,219
Weighted average life	13 years 9 months 18 days	10 years
Other intangible assets
Finite-Lived Intangible Assets [Line Items]
Intangible assets	$ 807	$ 179
Weighted average life	6 years 1 month 6 days	5 years