Basic and Diluted Earnings Per Share (Basic and Diluted Earnings Per Share) (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2020
Basic earnings per share:
Net income	$ 1,392.8	$ 1,097.5	$ 1,098.1
Weighted-average common shares outstanding	360.6	359.9	358.5
Basic earnings per share	$ 3.86	$ 3.05	$ 3.06
Diluted earnings per share:
Net income	$ 1,392.8	$ 1,097.5	$ 1,098.1
Weighted-average common shares outstanding	360.6	359.9	358.5
Dilutive effect of common share equivalents	2.5	2.2	2.5
Weighted-average common shares outstanding, assuming dilution	363.1	362.1	361.0
Diluted earnings per share	$ 3.84	$ 3.03	$ 3.04
Weighted-average anti-dilutive common share equivalents	0.2	0.6	0.7