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Stock Based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
9 Months Ended
Mar. 02, 2019
Jun. 02, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock based compensation expense (benefit) $ 2.6  
Restricted Shares    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Unrecognized compensation expense $ 7.0  
Weighted average period of unrecognized compensation expense (in years) 2 years 3 months 18 days  
Number of options outstanding (in shares) 252,388  
Weighted average grant date fair value (in dollars per share) $ 43.20 $ 45.30