Commitments and Contingencies - Schedule of Operating Lease Cost and Information Related to Operating Lease Right-of-use Assets, Net and Operating Lease Liabilities (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021
Lease cost
Operating lease costs including short-term lease expense and variable lease costs, which were immaterial in the period	$ 22,303	$ 20,284	$ 19,329
Operating cash flow impacts
Cash paid for amounts included in the measurement of operating lease liabilities	16,710	15,123	13,629
Operating lease right-of-use assets obtained in exchange for new operating lease liabilities	23,076	$ 21,391	$ 13,592
Operating lease right-of-use assets acquired in business combination	$ 4,167
Weighted-average remaining lease term - operating leases	4 years 5 months 23 days	4 years 7 months 28 days	4 years 1 month 2 days
Weighted-average discount rate - operating leases	3.55%	2.24%	2.28%