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Investments in Nonconsolidated Affiliates - Schedule of Receivables from/Payables to Nonconsolidated Affiliates (Details) - USD ($) $ in Millions | Jun. 01, 2024 | Jun. 03, 2023
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Schedule of Equity Method Investments [Line Items] |  |
Receivables from nonconsolidated affiliates | $ 308.3 | $ 334.1
Payables to nonconsolidated affiliates | 241.4 | 269.5
Equity Method Investee |  |
Schedule of Equity Method Investments [Line Items] |  |
Receivables from nonconsolidated affiliates | 0.3 | 0.5
Payables to nonconsolidated affiliates | $ 0.0 | $ 0.0

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