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Significant Accounting and Reporting Policies, Accumulated Other Comprehensive Income (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
May 29, 2010
Accounting Policies [Abstract]        
Foreign Currency Translation Adjustments $ (14.0) $ (13.0) $ (5.9) $ (12.3)
Pension and Other Post-Retirement Liability Adjustments (110.3) (127.6) (98.3) (123.8)
Unrealized Holding Period Gains (Losses) 0 0 0 (0.1)
Accumulated Other Comprehensive Income (Loss), Net of Tax (124.3) (140.6) (104.2) (136.2)
Other comprehensive income (loss)        
Foreign currency translation adjustments (1.0) (7.1) 6.4  
Pension and post-retirement liability adjustments (net of tax of $(8.8), $12.2, and $(11.8)) 17.3 (29.3) 25.5  
Other Comprehensive Income (Loss), Unrealized Holding Gain (Loss) on Securities Arising During Period, Net of Tax 0 0 0.1  
Total other comprehensive income/(loss) $ 16.3 $ (36.4) $ 32.0