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Stock-Based Compensation (Details)
12 Months Ended
May 30, 2020
USD ($)
$ / shares
shares
Jun. 01, 2019
USD ($)
$ / shares
shares
Jun. 02, 2018
USD ($)
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award      
Shares Authorized ( in shares) | shares 5,991,307,000,000    
Stock-based compensation cost not yet recognized $ 3,200,000    
Weighted-average period over which this amount is expected to be recognized 1 year 2 months 12 days    
Balance at beginning of period (in shares) | shares 70,145 62,957 67,335
Cash received during fiscal 2020 from the exercise of stock options $ 12,000,000    
IRS statutory compensation ceiling $ 285,000    
Employee stock purchase program      
Share-based Compensation Arrangement by Share-based Payment Award      
Capital shares reserved for future issuance | shares 4,000,000    
Reserved for purchase by plan participants (percentage) 85.00%    
Employee stock option      
Share-based Compensation Arrangement by Share-based Payment Award      
Weighted-average period over which this amount is expected to be recognized 1 year    
Intrinsic value of options exercised $ 5,500,000 $ 3,300,000 $ 5,000,000.0
Employee stock option | Director      
Share-based Compensation Arrangement by Share-based Payment Award      
Exercisable period (in years) 1 year    
Expiration period (in years) 10 years    
Restricted stock units      
Share-based Compensation Arrangement by Share-based Payment Award      
Weighted-average period over which this amount is expected to be recognized 1 year 2 months 12 days    
Conversion ratio to common stock 1    
Fair value of the shares that vested $ 5,900,000    
Granted | $ / shares $ 44.70 $ 37.81 $ 35.28
Performance share units      
Share-based Compensation Arrangement by Share-based Payment Award      
Weighted-average period over which this amount is expected to be recognized 1 year 3 months 18 days    
Conversion ratio to common stock 1    
Fair value of the shares that vested $ 0    
Granted | $ / shares $ 45.71 $ 36.37 $ 31.28
Minimum | Employee stock option      
Share-based Compensation Arrangement by Share-based Payment Award      
Exercisable period (in years) 1 year    
Minimum | Restricted stock units      
Share-based Compensation Arrangement by Share-based Payment Award      
Exercisable period (in years) 3 years    
Minimum | Performance share units      
Share-based Compensation Arrangement by Share-based Payment Award      
Exercisable period (in years) 3 years    
Maximum | Employee stock option      
Share-based Compensation Arrangement by Share-based Payment Award      
Exercisable period (in years) 3 years    
Expiration period (in years) 10 years    
Maximum | Executive Equalization Retirement Plan      
Share-based Compensation Arrangement by Share-based Payment Award      
Cash awards granted, percentage 50.00%    
Percentage of incentive cash bonus 100.00%