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Inventories - Schedule of Inventories (Details) - USD ($) $ in Millions	Feb. 24, 2024	Aug. 26, 2023
Inventory Disclosure [Abstract]
Finished goods	$ 56.8	$ 53.0
Work-in-process	142.3	159.9
Raw materials	314.7	305.6
Total	513.8	518.5
Less: Excess of First-in, first-out ("FIFO") over LIFO cost	48.0	47.9
Inventories, net	$ 465.8	$ 470.6

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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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-Topic 210
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Gross amount, as of the balance sheet date, of merchandise, goods, commodities, or supplies held for future sale or to be used in manufacturing, servicing or production process.

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

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

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