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Retirement Benefits and Postemployment Benefits (Schedule of one percentage point change in the health care trend rate) (Details)
$ in Millions
12 Months Ended
May 27, 2018
USD ($)
Defined Benefit Plan Effect Of One Percentage Point Change In Assumed Health Care Cost Trend Rates [Abstract]  
Effect of one percentage point increase on the aggregate of the service and interest cost components next year $ 1.9
Effect of one percentage point increase on the other postretirement accumulated benefit obligation as of current year end 47.8
Effect of one percentage point decrease on the aggregate of the service and interest cost components next year (1.8)
Effect of one percentage point decrease on the other postretirement accumulated benefit obligation as of current year end $ (44.5)