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Employee Benefit Plans - Changes in Plan Assets and Benefit Obligations (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
Pension and Other Postretirement Benefit Plans, Amounts that Will be Amortized from Accumulated Other Comprehensive Income (Loss) in Next Fiscal Year [Abstract]    
Defined Benefit Plan, Amortization of Net Gains (Losses) $ 11.1  
Pension Benefits, Domestic [Member]
    
Defined Benefit Plan Disclosure [Line Items]    
Defined Benefit Plan, Curtailments 0 (4.3)
Net actuarial (gain) loss 8.2 27.4
Net amortization (30.6) (5.5)
Total recognized in other comprehensive (income) loss (22.4) 21.9
Pension Benefits, Foreign [Member]
    
Defined Benefit Plan Disclosure [Line Items]    
Defined Benefit Plan, Curtailments 0 0
Net actuarial (gain) loss (1.7) 21.5
Effect of exchange rates on amounts included in accumulated other comprehensive income (0.2) (1.5)
Net amortization (1.4) (0.3)
Total recognized in other comprehensive (income) loss (3.3) 19.7
Post-Retirement Benefits [Member]
    
Defined Benefit Plan Disclosure [Line Items]    
Defined Benefit Plan, Curtailments 0 0
Net actuarial (gain) loss (0.3) 0
Net amortization (0.1) (0.1)
Total recognized in other comprehensive (income) loss $ (0.4) $ (0.1)