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Goodwill and Other Intangible Assets (Schedule of changes in the carrying amount of other intangible assets) (Details)
$ in Millions
9 Months Ended
Feb. 27, 2022
USD ($)
Indefinite-lived Intangible Assets [Line Items]  
Beginning balance $ 7,150.6
Acquisition 370.0
Divestitures (621.8)
Other activity, primarily foreign currency translation (98.3)
Ending balance 7,010.9
Intellectual property [Member]  
Indefinite-lived Intangible Assets [Line Items]  
Acquisition $ 210.4