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Retirement Benefits and Postemployment Benefits (Schedule of summarized financial information about benefit plans) (Details) - USD ($)
$ in Millions
12 Months Ended
May 29, 2016
May 31, 2015
May 25, 2014
Defined Benefit Pension Plans [Member]      
Defined Benefit Plan, Change in Fair Value of Plan Assets Roll Forward [Abstract]      
Fair value at beginning of year $ 5,758.5 $ 5,611.8  
Actual return on assets 36.3 373.6  
Employer contributions 23.7 24.1  
Plan participant contributions 5.7 10.3  
Benefits payments (277.5) (244.9)  
Foreign currency (6.8) (16.4)  
Fair value at end of year 5,539.9 5,758.5 $ 5,611.8
Defined Benefit Plan, Change in Projected Benefit Obligation Roll Forward [Abstract]      
Benefit obligation at beginning of year 6,252.1 5,618.0  
Service cost 134.6 137.0 133.0
Interest cost 267.8 249.2 239.5
Plan amendment 0.9 1.9  
Curtailment/other 7.1 19.9  
Plan participant contributions 5.7 10.3  
Medicare Part D reimbursements 0.0 0.0  
Actuarial loss (gain) 65.2 479.7  
Benefits payments (278.0) (245.5)  
Foreign currency (6.9) (18.4)  
Projected benefit obligation at end of year 6,448.5 6,252.1 5,618.0
Plan assets less than benefit obligation as of fiscal year end (908.6) (493.6)  
Other Postretirement Benefit Plans [Member]      
Defined Benefit Plan, Change in Fair Value of Plan Assets Roll Forward [Abstract]      
Fair value at beginning of year 582.8 517.3  
Actual return on assets (0.1) 44.0  
Employer contributions 24.1 24.1  
Plan participant contributions 14.1 13.6  
Benefits payments (18.5) (16.2)  
Foreign currency 0.0 0.0  
Fair value at end of year 602.4 582.8 517.3
Defined Benefit Plan, Change in Projected Benefit Obligation Roll Forward [Abstract]      
Benefit obligation at beginning of year 1,079.6 1,074.8  
Service cost 19.0 22.4 22.7
Interest cost 44.1 46.9 50.5
Plan amendment 0.0 (42.4)  
Curtailment/other 0.5 3.4  
Plan participant contributions 14.1 13.6  
Medicare Part D reimbursements 3.5 3.2  
Actuarial loss (gain) (64.5) 23.5  
Benefits payments (66.4) (62.8)  
Foreign currency (1.0) (3.0)  
Projected benefit obligation at end of year 1,028.9 1,079.6 1,074.8
Plan assets less than benefit obligation as of fiscal year end (426.5) (496.8)  
Postemployment Benefit Plans [Member]      
Defined Benefit Plan, Change in Fair Value of Plan Assets Roll Forward [Abstract]      
Plan participant contributions 0.0 0.0  
Defined Benefit Plan, Change in Projected Benefit Obligation Roll Forward [Abstract]      
Benefit obligation at beginning of year 146.6 145.3  
Service cost 7.6 7.5 7.7
Interest cost 3.9 4.3 4.1
Plan amendment 1.1 0.0  
Curtailment/other 10.7 9.5  
Plan participant contributions 0.0 0.0  
Medicare Part D reimbursements 0.0 0.0  
Actuarial loss (gain) 11.2 (0.4)  
Benefits payments (16.9) (19.1)  
Foreign currency (0.1) (0.5)  
Projected benefit obligation at end of year 164.1 146.6 $ 145.3
Plan assets less than benefit obligation as of fiscal year end $ (164.1) $ (146.6)