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Inventories - Schedule of Inventories (Details) - USD ($)
$ in Thousands
May 28, 2022
Aug. 28, 2021
Inventory Disclosure [Abstract]    
Finished goods $ 18,449 $ 12,243
Work-in-process 202,733 184,611
Raw materials 309,760 183,583
Total 530,942 380,437
Less: Excess of FIFO over LIFO cost 44,842 38,964
Inventories, net $ 486,100 $ 341,473