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Retirement Benefits and Postemployment Benefits (Schedule of assumed health care trend costs) (Details)
12 Months Ended
May 27, 2018
May 28, 2017
Defined Benefit Plan Assumed Health Care Cost Trend Rates [Abstract]    
Rate to which the cost trend rate is assumed to decline (ultimate rate) 4.50% 5.00%
Year that Rate Reaches Ultimate Trend Rate 2029 2024
Under Age 65 [Member]    
Defined Benefit Plan Assumed Health Care Cost Trend Rates [Abstract]    
Health care cost trend rate for next year 6.70% 7.00%
Over Age 65 [Member]    
Defined Benefit Plan Assumed Health Care Cost Trend Rates [Abstract]    
Health care cost trend rate for next year 7.00% 7.30%