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Inventories - Schedule of Inventories (Details) - USD ($) $ in Thousands | Aug. 27, 2022 | Aug. 28, 2021
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Inventory Disclosure [Abstract] |  |
Finished goods | $ 59,340 | $ 12,243
Work-in-process ("WIP") | 198,900 | 184,611
Raw materials | 314,938 | 183,583
Total | 573,178 | 380,437
Less: Excess of FIFO over LIFO cost | 47,409 | 38,964
Inventories, net | $ 525,769 | $ 341,473

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