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Stock Compensation Plans (Summary of Equity Award Activity) (Details) - $ / shares
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Outstanding [Roll Forward]    
Number of Shares, Outstanding, Beginning Balance (in shares) 247,735 288,900
Number of Shares, Granted (in shares) 88,965 86,215
Number of Shares, Vested (in shares) (85,990) (121,148)
Number of Shares, Forfeited (in shares) (9,420) (6,232)
Number of Shares, Outstanding, Ending Balance (in shares) 241,290 247,735
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) $ 35.97 $ 35.97
Weighted Average Grant Date Fair Value, Granted (in dollars per share) 43.81 43.00
Weighted Average Grant Date Fair Value, Vested (in dollars per share) 36.76 26.90
Weighted Average Grant Date Fair Value, Forfeited (in dollars per share) 42.43 39.66
Weighted Average Grant Date Fair Value, Outstanding, Ending Balance (in dollars per share) $ 42.30 $ 35.97