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Significant Accounting Policies and Disclosures - Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions (Details) - $ / shares
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
May 27, 2017
Accounting Policies [Abstract]      
Expected volatility 22.24% 21.92% 25.41%
Risk-free interest rate 2.82% 2.22% 1.46%
Expected lives (years) 6 years 4 months 9 days 6 years 3 months 21 days 6 years 6 months
Annual cash dividend $ 0.24 $ 0.24 $ 0.24