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Stock-Based Compensation - Schedule of Director Share Based Compensation (Details) - Director - shares
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Share-based Compensation Arrangement by Share-based Payment Award      
Shares of common stock 10,185 8,828 9,982
Shares through the deferred compensation program 7,619 2,207 2,582