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Stock-Based Compensation (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 27, 2016
Feb. 28, 2015
Feb. 27, 2016
Feb. 28, 2015
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]        
Allocated Share-based Compensation Expense $ 2.7 $ 2.4 $ 9.3 $ 8.1
Employee Service Share-based Compensation, Tax Benefit from Compensation Expense $ 1.0 $ 0.8 $ 3.4 $ 2.9
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period     187,829 258,927
Restricted Stock Units (RSUs)        
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]        
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Exercised     179,265 130,144
Performance Share Units        
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]        
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Exercised     55,825 0