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Stock-Based Compensation (Details) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended 9 Months Ended
Mar. 01, 2014
Mar. 02, 2013
Mar. 01, 2014
Mar. 02, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Allocated Share-based Compensation Expense $ 2.7 $ 2.0 $ 8.3 $ 5.8
Employee Service Share-based Compensation, Tax Benefit from Compensation Expense $ 1.0 $ 0.7 $ 3.0 $ 2.1
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period     412,541 229,897
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Exercised     108,947 62,761
Stock Purchase Plan [Member]
       
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Common Stock, Capital Shares Reserved for Future Issuance 4,000,000   4,000,000  
Percent of Market Price 85.00%   85.00%