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Stock-Based Compensation (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 28, 2015
Nov. 29, 2014
Nov. 28, 2015
Nov. 29, 2014
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]        
Allocated Share-based Compensation Expense $ 2.6 $ 2.7 $ 6.5 $ 5.7
Employee Service Share-based Compensation, Tax Benefit from Compensation Expense $ 1.0 $ 1.0 $ 2.4 $ 2.1
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period     185,949 226,867
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     163,430 121,985
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