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Income Taxes - Schedule of Income before Income Tax, Domestic and Foreign (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Income Tax Disclosure [Abstract]      
Domestic $ 121.6 $ 131.4 $ 154.9
Foreign 46.5 46.2 41.7
Earnings before income taxes $ 168.1 $ 177.6 $ 196.6