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Stock-Based Compensation - Schedule of Pre-Tax Compensation Expense and Related Tax Benefits (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
May 31, 2014
Jun. 01, 2013
Jun. 02, 2012
Share-based Compensation Arrangement by Share-based Payment Award      
Allocated Share-based Compensation Expense $ 11.0 $ 8.1 $ 6.0
Tax benefit 4.0 2.9 2.1
Employee Stock Purchase Program
     
Share-based Compensation Arrangement by Share-based Payment Award      
Allocated Share-based Compensation Expense 0.3 0.3 0.3
Stock Option Plans
     
Share-based Compensation Arrangement by Share-based Payment Award      
Allocated Share-based Compensation Expense 2.3 3.6 2.8
Restricted Stock Grants
     
Share-based Compensation Arrangement by Share-based Payment Award      
Allocated Share-based Compensation Expense 0.2 0.3 0.5
Restricted Stock Units
     
Share-based Compensation Arrangement by Share-based Payment Award      
Allocated Share-based Compensation Expense 5.2 3.2 2.4
Performance Share Units
     
Share-based Compensation Arrangement by Share-based Payment Award      
Allocated Share-based Compensation Expense $ 3.0 $ 0.7 $ 0