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Common Stock and Per Share Information (Details) - shares
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Earnings Per Share [Abstract]      
Antidilutive securities excluded from computation of earnings per share 348,089 764,154 528,676
Stock Repurchase Program, Number of Shares Authorized to be Repurchased 300,000,000.0    
Stock Repurchased During Period, Shares 1,356,156 765,556 482,040