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Inventories, net - Summary of Inventories, Net of Allowance for Obsolescence (Details) - USD ($) $ in Thousands	Mar. 29, 2025	Sep. 28, 2024	Mar. 30, 2024
Inventory Disclosure [Abstract]
Raw materials	$ 237,133	$ 256,419	$ 267,032
Work in progress	146,926	146,041	180,877
Finished goods	423,357	338,762	447,595
Supplies	16,865	16,721	18,848
Total inventories, net	$ 824,281	$ 757,943	$ 914,352

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Carrying amount, net of valuation reserves and adjustments, as of the balance sheet date of merchandise or goods held by the company that are readily available for sale.

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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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Carrying amount, net of valuation reserves and adjustments, as of the balance sheet date of unprocessed items to be consumed in the manufacturing or production process.

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Carrying amount, net of valuation reserves and adjustments, as of the balance sheet date of products used directly or indirectly in the manufacturing or production process, which may or may not become part of the final product. May also include items used in the storage, presentation or transportation of physical goods.

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Carrying amount, net of reserves and adjustments, as of the balance sheet date of merchandise or goods which are partially completed. This inventory is generally comprised of raw materials, labor and factory overhead costs, which require further materials, labor and overhead to be converted into finished goods, and which generally require the use of estimates to determine percentage complete and pricing.

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