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Income Taxes - Components of Income Tax Expense (Benefit) (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
May 31, 2014
Jun. 01, 2013
Jun. 02, 2012
Income Tax Disclosure [Abstract]      
Current: Domestic - Federal $ 22.2 $ 36.4 $ 21.8
Domestic - State 4.6 5.2 2.0
Foreign 4.8 3.9 6.0
Current Income Tax Expense (Benefit) 31.6 45.5 29.8
Deferred: Domestic - Federal (43.6) (14.9) 11.2
Domestic - State (5.6) (1.4) 1.4
Foreign (3.6) (0.3) 1.9
Deferred Income Tax Expense (Benefit) (52.8) (16.6) 14.5
Income tax expense (benefit) $ (21.2) $ 28.9 $ 44.3