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Stock-Based Compensation - Schedule of Restricted Stock Unit (RSU) Activity (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jun. 03, 2017
May 28, 2016
May 30, 2015
Weighted Average Grant-Date Fair Value      
Released $ 28.70    
Restricted Stock Units      
Share Units      
Outstanding at May 28, 2016 377,861    
Granted 114,778    
Forfeited (12,951)    
Released (94,736)    
Outstanding at June 3, 2017 384,952 377,861  
Ending vested expected to vest 379,037    
Weighted Average Grant-Date Fair Value      
Outstanding, at beginning of year (in usd per share) $ 27.83    
Granted 31.83 $ 29.03 $ 30.38
Forfeited 29.25    
Outstanding, at end of year (in usd per share) 28.73 $ 27.83  
Expected to vest (in usd per share) $ 29.30    
Aggregate Intrinsic Value      
Aggregate intrinsic value (in millions of usd) $ 12.6 $ 12.0  
Ending vested expected to vest $ 12.4    
Weighted-Average Remaining Contractual Term      
Weighted average remaining contractual term (in years) 1 year 1 month 20 days 1 year 4 months 24 days  
Weighted average remaining contractual term, expected to vest (in years) 1 year 1 month 17 days