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Basic and Diluted Earnings Per Share (Basic and Diluted Earnings Per Share) (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended
Aug. 31, 2017
Aug. 31, 2016
Basic and Diluted Earnings Per Share [Abstract]    
Net income $ 227.8 $ 217.4
Basic earnings per share:    
Weighted-average common shares outstanding 358.9 361.0
Basic earnings per share $ 0.63 $ 0.60
Diluted earnings per share:    
Dilutive effect of common share equivalents 2.4 3.1
Weighted-average common shares outstanding, assuming dilution 361.3 364.1
Diluted earnings per share $ 0.63 $ 0.60
Weighted-average anti-dilutive common share equivalents 1.1 0.5