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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. 03, 2017
May 28, 2016
May 30, 2015
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation $ 8.7 $ 11.9 $ 10.0
Tax benefit 3.1 4.3 3.6
Employee Stock Purchase Program      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 0.3 0.3 0.3
Stock Option Plans      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 2.0 1.9 2.6
Restricted Stock Grants      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 0.0 0.0 0.1
Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation 3.6 3.2 3.7
Performance Share Units      
Share-based Compensation Arrangement by Share-based Payment Award      
Stock-based compensation $ 2.8 $ 6.5 $ 3.3