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Income Taxes - Schedule of Income before Income Tax, Domestic and Foreign (Details) - USD ($)
$ in Millions
12 Months Ended
May 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Income Tax Disclosure [Abstract]      
Domestic $ (75.6) $ 136.2 $ 121.6
Foreign 62.2 58.9 46.5
(Loss) Earnings before income taxes and equity income $ (13.4) $ 195.1 $ 168.1