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Stock Based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
9 Months Ended
Mar. 03, 2018
Feb. 25, 2017
Jun. 03, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock based compensation expense (benefit) $ 2.6 $ 2.5  
Restricted Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation expense $ 6.9    
Weighted average period of unrecognized compensation expense (in years) 2 years 2 months 26 days    
Number of options outstanding (in shares) 243,060    
Weighted average grant date fair value (in dollars per share) $ 45.30   $ 42.76