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Stock-Based Compensation - Schedule of Director Share Based Compensation (Details) - Director - shares
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Share-based Compensation Arrangement by Share-based Payment Award      
Shares of common stock 8,828 9,982 21,988
Shares through the deferred compensation program 2,207 2,582 3,118