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Stock-Based Compensation (Option Pricing Assumptions) (Details) - Stock Options - $ / shares
9 Months Ended
Feb. 24, 2019
Feb. 25, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted-average fair value (in dollars per share) $ 18.78 $ 14.63
Dividend yield 3.20% 3.00%
Expected volatility of stock 22.60% 23.50%
Risk-free interest rate 2.90% 2.00%
Expected option life (in years) 6 years 5 months 6 years 5 months
Weighted-average exercise price per share (in dollars per share) $ 107.05 $ 85.83