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Stock Compensation Plans (Summary of Equity Award Activity) (Details) - $ / shares
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Outstanding [Roll Forward]    
Number of Shares, Outstanding, Beginning Balance (in shares) 241,290 247,735
Number of Shares, Granted (in shares) 94,189 88,965
Number of Shares, Vested (in shares) (79,918) (85,990)
Number of Shares, Forfeited (in shares) (7,149) (9,420)
Number of Shares, Outstanding, Ending Balance (in shares) 248,412 241,290
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]    
Weighted Average Grant Date Fair Value, Outstanding, Beginning Balance (in dollars per share) $ 42.30 $ 35.97
Weighted Average Grant Date Fair Value, Granted (in dollars per share) 42.68 43.81
Weighted Average Grant Date Fair Value, Vested (in dollars per share) 48.84 36.76
Weighted Average Grant Date Fair Value, Forfeited (in dollars per share) 44.00 42.43
Weighted Average Grant Date Fair Value, Outstanding, Ending Balance (in dollars per share) $ 43.20 $ 42.30