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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		6 Months Ended
	Nov. 30, 2023	Nov. 30, 2022	Nov. 30, 2023	Nov. 30, 2022
Basic earnings per share:
Net income	$ 392.7	$ 360.3	$ 811.9	$ 739.5
Weighted-average common shares outstanding	360.5	360.5	360.6	360.2
Basic earnings per share	$ 1.09	$ 1.00	$ 2.25	$ 2.05
Diluted earnings per share:
Net income	$ 392.7	$ 360.3	$ 811.9	$ 739.5
Weighted-average common shares outstanding	360.5	360.5	360.6	360.2
Dilutive effect of common share equivalents	1.6	1.8	1.8	2.1
Weighted-average common shares outstanding, assuming dilution	362.1	362.3	362.4	362.3
Diluted earnings per share	$ 1.08	$ 0.99	$ 2.24	$ 2.04
Weighted-average anti-dilutive common share equivalents	0.8	0.9	0.7	0.7

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Securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) or earnings per unit (EPU) in the future that were not included in the computation of diluted EPS or EPU because to do so would increase EPS or EPU amounts or decrease loss per share or unit amounts for the period presented.

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