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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 30, 2021
May 31, 2020
May 26, 2019
Defined Benefit Pension Plans [Member]      
Defined Benefit Plan, Change in Fair Value of Plan Assets Roll Forward [Abstract]      
Fair value at beginning of year $ 6,993.2 $ 6,291.6  
Actual return on assets 716.3 983.7  
Employer contributions 33.8 32.9  
Plan participant contributions 4.1 6.7  
Benefits payments (315.1) (317.2)  
Foreign currency 27.9 (4.5)  
Fair value at end of year 7,460.2 6,993.2 $ 6,291.6
Defined Benefit Plan, Change in Projected Benefit Obligation Roll Forward [Abstract]      
Benefit obligation at beginning of year 7,640.2 6,750.7  
Service cost 104.4 92.7 94.6
Interest cost 192.1 230.5 248.0
Plan amendment 1.1 1.2  
Curtailment/other (5.8) (1.2)  
Plan participant contributions 4.1 6.7  
Medicare Part D reimbursements 0.0 0.0  
Actuarial loss (gain) 67.4 881.8  
Benefits payments (315.7) (317.7)  
Foreign currency 26.6 (4.5)  
Projected benefit obligation at end of year 7,714.4 7,640.2 6,750.7
Plan assets less than benefit obligation as of fiscal year end (254.2) (647.0)  
Other Postretirement Benefit Plans [Member]      
Defined Benefit Plan, Change in Fair Value of Plan Assets Roll Forward [Abstract]      
Fair value at beginning of year 793.5 753.8  
Actual return on assets 108.1 65.0  
Employer contributions   0.1  
Employee contributions (359.9)    
Plan participant contributions 13.0 13.8  
Benefits payments (35.3) (39.2)  
Foreign currency 0.0 0.0  
Fair value at end of year 519.4 793.5 753.8
Defined Benefit Plan, Change in Projected Benefit Obligation Roll Forward [Abstract]      
Benefit obligation at beginning of year 773.7 824.1  
Service cost 8.5 9.4 9.9
Interest cost 18.0 27.1 33.1
Plan amendment (138.7) 0.0  
Curtailment/other 0.0 0.0  
Plan participant contributions 13.0 13.8  
Medicare Part D reimbursements 2.5 2.7  
Actuarial loss (gain) (15.8) (38.3)  
Benefits payments (61.9) (63.5)  
Foreign currency 0.7 (1.6)  
Projected benefit obligation at end of year 600.0 773.7 824.1
Plan assets less than benefit obligation as of fiscal year end (80.6) 19.8  
Postemployment Benefit Plans [Member]      
Defined Benefit Plan, Change in Projected Benefit Obligation Roll Forward [Abstract]      
Benefit obligation at beginning of year 150.3 128.0  
Service cost 9.3 8.3 7.6
Interest cost 1.7 2.6 3.0
Plan amendment 0.0 0.0  
Curtailment/other 5.1 0.0  
Plan participant contributions 0.0 0.0  
Medicare Part D reimbursements 0.0 0.0  
Actuarial loss (gain) 7.2 17.7  
Benefits payments (22.5) (6.2)  
Foreign currency 0.6 (0.1)  
Projected benefit obligation at end of year 151.7 150.3 $ 128.0
Plan assets less than benefit obligation as of fiscal year end $ (151.7) $ 150.3