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Stock-Based Compensation - Schedule of Stock Option Plan Transactions (Details) - Employee Stock Option - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
Shares Under Option    
Outstanding at end of period (in shares) 1,063,249 1,329,702
Granted at market (shares) 323,412  
Exercised (shares) (538,259)  
Forfeited or expired (shares) (51,606)  
Ending vested expected to vest (shares) 1,063,249  
Exercisable at end of period (shares) 265,519  
Weighted-Average Exercise Prices    
Outstanding at end of period (in usd per share) $ 30.33 $ 28.36
Granted at market (usd per share) 33.75  
Exercised (usd per share) 27.28  
Forfeited or expired (usd per share) 32.83  
Ending vested expected to vest (usd per share) 30.33  
Exercisable at end of period (usd per share) $ 23.96  
Weighted-Average Remaining Contractual Term    
Weighted average remaining contractual term at end of period (in years) 7 years 5 months 12 days 7 years 3 months 4 days
Ending vested expected to vest 7 years 5 months 12 days  
Exercisable at end of period 4 years 9 months 11 days  
Aggregate Intrinsic Value    
Aggregate intrinsic value at end of period (in millions of usd) $ 2.9 $ 5.8
Ending vested expected to vest 2.9  
Exercisable at end of period $ 2.4