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Inventories - Schedule of Inventories (Details) - USD ($)
$ in Thousands
Feb. 27, 2021
Aug. 29, 2020
Inventory Disclosure [Abstract]    
Finished goods $ 9,184 $ 17,141
Work-in-process 145,092 86,651
Raw materials 160,577 114,982
Total 314,853 218,774
Less last-in, first-out ("LIFO") reserve 36,385 35,833
Inventories, net $ 278,468 $ 182,941