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Investments in Nonconsolidated Affiliates - Schedule of Equity Method Earnings (Details) - USD ($) $ in Millions | 12 Months Ended
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May 30, 2020 | Jun. 01, 2019 | Jun. 02, 2018
Equity Method Investments and Joint Ventures [Abstract] |  |  |
Equity earnings from nonconsolidated affiliates, net of tax | $ 5.0 | $ 5.0 | $ 3.0

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