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. 31, 2024	Aug. 26, 2023	Aug. 27, 2022
Lease cost
Operating lease costs including short-term lease expense and variable lease costs, which were immaterial in the period	$ 25,866	$ 22,303	$ 20,284
Operating cash flow impacts
Cash paid for amounts included in the measurement of operating lease liabilities	20,083	16,710	15,123
Operating lease right-of-use assets obtained in exchange for new operating lease liabilities	$ 19,511	23,076	$ 21,391
Operating lease right-of-use assets acquired in business combination		$ 4,167
Weighted-average remaining lease term - operating leases	4 years 8 months 12 days	4 years 5 months 23 days	4 years 7 months 28 days
Weighted-average discount rate - operating leases	4.74%	3.55%	2.24%