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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. 01, 2019
Jun. 02, 2018
Shares Under Option    
Outstanding at beginning of period (in shares) 1,063,249  
Granted at market (shares) 156,008  
Exercised (shares) (347,248)  
Forfeited or expired (shares) (81,950)  
Outstanding at end of period (in shares) 790,059 1,063,249
Ending vested and expected to vest (shares) 790,059  
Exercisable at end of period (shares) 282,985  
Weighted-Average Exercise Prices    
Outstanding at beginning of period (in usd per share) $ 30.33  
Granted at market (usd per share) 38.23  
Exercised (usd per share) 28.84  
Forfeited or expired (usd per share) 33.94  
Outstanding at end of period (in usd per share) 32.17 $ 30.33
Ending vested and expected to vest (usd per share) 32.17  
Exercisable at end of period (usd per share) $ 28.51  
Weighted-Average Remaining Contractual Term    
Weighted average remaining contractual term at end of period (in years) 5 years 9 months 21 days 7 years 5 months 12 days
Ending vested expected to vest 5 years 9 months 21 days  
Exercisable at end of period 4 years 5 months 1 day  
Aggregate Intrinsic Value    
Aggregate intrinsic value at end of period (in millions of usd) $ 3.0 $ 2.9
Ending vested expected to vest 3.0  
Exercisable at end of period $ 2.0