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Retirement Benefits and Postemployment Benefits (Schedule of amounts expected to be recognized in net periodic expense next year) (Details)
$ in Millions
12 Months Ended
May 28, 2017
USD ($)
Defined Benefit Pension Plans [Member]  
Defined Benefit Plan Amounts That Will Be Amortized From Accumulated Other Comprehensive Income Loss In Next Fiscal Year [Abstract]  
Amortization of losses $ 176.9
Amortization of prior service costs (credits) 1.9
Other Postretirement Benefit Plans [Member]  
Defined Benefit Plan Amounts That Will Be Amortized From Accumulated Other Comprehensive Income Loss In Next Fiscal Year [Abstract]  
Amortization of losses 0.8
Amortization of prior service costs (credits) (5.4)
Postemployment Benefit Plans [Member]  
Defined Benefit Plan Amounts That Will Be Amortized From Accumulated Other Comprehensive Income Loss In Next Fiscal Year [Abstract]  
Amortization of losses 0.6
Amortization of prior service costs (credits) $ 0.8