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Common Stock and Per Share Information (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Earnings Per Share [Abstract]      
Antidilutive securities excluded from computation of earnings per share 218,037 348,089 764,154
Stock Repurchase Program, Number of Shares Authorized to be Repurchased 550,000,000    
Stock Repurchase Program, Remaining Authorized Repurchase Amount $ 264.2    
Stock Repurchased During Period, Shares 1,326,023 1,356,156 765,556