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Stock-Based Compensation - Schedule of Pre-Tax Compensation Expense and Related Tax Benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation $ 20.6 $ 20.2 $ 31.4
Tax benefit 5.0 4.9 7.7
Employee stock purchase program      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 0.5 0.5 0.5
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 7.7 5.7 3.6
Restricted stock units      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 8.7 9.4 15.3
Performance share units      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 3.4 3.5 2.8
Restricted stock awards      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation $ 0.3 $ 1.1 $ 9.2