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Investments in Nonconsolidated Affiliates - Schedule of Sales/Purchases to/from Nonconsolidated Affiliates (Details) - Equity Method Investee - USD ($) $ in Millions	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021
Schedule of Equity Method Investments
Sales to nonconsolidated affiliates	$ 2.8	$ 0.7	$ 1.0
Purchases from nonconsolidated affiliates	$ 0.0	$ 0.6	$ 0.3

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