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Income Taxes (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Mar. 01, 2014
Mar. 02, 2013
Mar. 01, 2014
Mar. 02, 2013
Income Tax Disclosure [Abstract]        
Effective Income Tax Rate, Continuing Operations 33.30% 29.40% 41.10% 32.30%
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 35.00%      
Liability for Uncertain Tax Positions, Current $ 1.7 $ 1.5 $ 1.7 $ 1.5
Income Tax Examination, Penalties and Interest Accrued $ 0.7 $ 0.6 $ 0.7 $ 0.6