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Inventories - Schedule of Inventories (Details) - USD ($) $ in Thousands	Feb. 26, 2022	Aug. 28, 2021
Inventory Disclosure [Abstract]
Finished goods	$ 14,438	$ 12,243
Work-in-process	187,826	184,611
Raw materials	308,926	183,583
Total	511,190	380,437
Less: Excess of FIFO over LIFO cost	41,736	38,964
Inventories, net	$ 469,454	$ 341,473

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Amount before valuation and LIFO reserves of completed merchandise or goods expected to be sold within one year or operating cycle, if longer.

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Amount by which inventory stated at last-in first-out (LIFO) is less than (in excess of) inventory stated at other inventory cost methods.

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Amount after valuation and LIFO reserves of inventory expected to be sold, or consumed within one year or operating cycle, if longer.

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