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Inventories - Schedule of Inventories (Details) - USD ($)
$ in Thousands
May 27, 2022
Aug. 27, 2021
Inventory Disclosure [Abstract]    
Raw materials $ 179,649 $ 163,610
Work in process 65,547 92,901
Finished goods 120,062 107,090
Total inventories $ 365,258 $ 363,601