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Stock-Based Compensation - Schedule of Fair Value of Employee Stock Options (Details) - $ / shares
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Risk-free interest rate 2.00% 1.00% 2.00%
Expected term of options 4 years 7 months 6 days 4 years 4 years
Expected volatility 0.00% 0.00% 0.00%
Dividend yield 2.00% 2.00% 2.00%
Granted with exercise prices equal to the fair market value of the stock on the date of grant (usd per share) $ 6.39 $ 5.50 $ 6.73