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Stock Compensation Plans (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
May 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Oct. 05, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock based compensation expense (benefit) $ 3.6 $ 3.6 $ 3.5  
2012 Omnibus Long-Term Incentive Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Incentive plan shares authorized (in shares)       1,000,000
Vesting period 3 years      
Unrecognized compensation expense $ 6.3 $ 6.0    
Weighted average period of unrecognized compensation expense 2 years 29 days