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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. 02, 2018
Jun. 03, 2017
May 28, 2016
Weighted Average Grant-Date Fair Value      
Released $ 27.75    
Restricted Stock Units      
Share Units      
Beginning balance (shares) 384,952    
Granted (shares) 242,012    
Forfeited (shares) (19,233)    
Released (126,704)    
Ending balance (shares) 481,027 384,952  
Ending vested expected to vest (shares) 481,027    
Weighted Average Grant-Date Fair Value      
Outstanding, at beginning of year (in usd per share) $ 28.73    
Granted (usd per share) 35.28 $ 31.83 $ 29.03
Forfeited 30.86    
Outstanding, at end of year (in usd per share) 32.20 $ 28.73  
Expected to vest (in usd per share) $ 32.20    
Aggregate Intrinsic Value      
Aggregate intrinsic value (in millions of usd) $ 15.8 $ 12.6  
Ending vested expected to vest $ 15.8    
Weighted-Average Remaining Contractual Term      
Weighted average remaining contractual term (in years) 1 year 3 months 11 days 1 year 1 month 21 days  
Weighted average remaining contractual term, expected to vest (in years) 1 year 3 months 11 days