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New Accounting Pronouncements (Details) - USD ($)
$ in Millions
3 Months Ended
Aug. 26, 2018
Aug. 27, 2017
Increase (decrease) to benefit plan non-service income, impact of adoption of new accounting standard $ (20.9) $ (20.5)
Cumulative effect adjustment related to adoption of new accounting standard (33.9)  
Retained Earnings [Member]    
Cumulative effect adjustment related to adoption of new accounting standard (33.9)  
Accounting Standards Update 2017-07 [Member]    
Increase (decrease) to benefit plan non-service income, impact of adoption of new accounting standard (20.9) (20.5)
Increase (decrease) to operating profit, impact of adoption of new accounting standard (20.9) $ (20.5)
Accounting Standards Update 2014-09 [Member] | Deferred Income Tax Charges [Member]    
Cumulative effect adjustment related to adoption of new accounting standard (11.4)  
Accounting Standards Update 2014-09 [Member] | Other Current Liabilities [Member]    
Cumulative effect adjustment related to adoption of new accounting standard 45.3  
Accounting Standards Update 2014-09 [Member] | Retained Earnings [Member]    
Cumulative effect adjustment related to adoption of new accounting standard $ (33.9)