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Stock-Based Compensation - Schedule of Performance-based Stock Units (PSU) 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 (usd per share) $ 27.75    
Performance Share Units      
Share Units      
Beginning balance (shares) 417,947    
Granted (shares) 129,131    
Forfeited (shares) (42,339)    
Released (shares) (130,179)    
Ending balance (shares) 374,560 417,947  
Ending vested expected to vest (shares) 374,560    
Weighted Average Grant-Date Fair Value      
Outstanding, at beginning of year (in usd per share) $ 31.18    
Granted (usd per share) 31.28 $ 29.40 $ 30.81
Forfeited (usd per share) 34.27    
Released (usd per share) 31.47    
Outstanding, at end of year (in usd per share) 30.76 $ 31.18  
Expected to vest (in usd per share) $ 30.76    
Aggregate Intrinsic Value      
Aggregate intrinsic value (in millions of usd) $ 12.3 $ 13.7  
Ending vested expected to vest $ 12.3    
Weighted-Average Remaining Contractual Term      
Weighted average remaining contractual term (in years) 1 year 4 days 1 year 11 days  
Weighted average remaining contractual term, expected to vest (in years) 1 year 4 days