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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. 03, 2023
May 28, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Roll Forward]    
Outstanding at beginning of period (in shares) 1,716,593  
Granted (in shares) 544,299  
Exercises (in shares) (49,482)  
Forfeited or expired (in shares) (7,210)  
Outstanding at end of period (in shares) 2,204,200 1,716,593
Exercisable at end of period (in shares) 1,088,713  
Weighted-Average Exercise Prices    
Outstanding at beginning of period (in usd per share) $ 26.83  
Granted at market (in usd per share) 32.25  
Exercises (in usd per share) 20.44  
Forfeited or expired (in usd per share) 22.86  
Outstanding at end of period (in usd per share) 28.33 $ 26.83
Exercisable at end of period (in usd per share) $ 26.57  
Aggregate Intrinsic Value    
Aggregate intrinsic value at end of period (in millions of usd) $ 0.0 $ 10.4
Exercisable at end of period $ 0.0  
Weighted-Average Remaining Contractual Term (Years)    
Weighted average remaining contractual term at end of period (in years) 7 years 3 months 18 days 7 years 8 months 12 days
Exercisable at end of period 6 years 6 months