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Common Stock and Related Matters - Earnings per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Millions	3 Months Ended								12 Months Ended
	Aug. 31, 2019	May 31, 2019	Feb. 28, 2019	Nov. 30, 2018	Aug. 31, 2018	May 31, 2018	Feb. 28, 2018	Nov. 30, 2017	Aug. 31, 2019	Aug. 31, 2018	Aug. 31, 2017
Earnings per share:
Net income									$ 330.4	$ 349.6	$ 321.7
Basic weighted average shares outstanding (in shares)									39,700	40,900	43,100
Common stock equivalents (in shares)									100	100	200
Diluted weighted average number of shares outstanding (in shares)									39,800	41,000	43,300
Basic earnings per share (in dollars per share)	$ 2.43	$ 2.23	$ 1.68	$ 1.99	$ 2.71	$ 1.81	$ 2.34	$ 1.71	$ 8.32	$ 8.54	$ 7.46
Diluted earnings per share (in dollars per share)	$ 2.42	$ 2.22	$ 1.67	$ 1.98	$ 2.70	$ 1.80	$ 2.33	$ 1.70	$ 8.29	$ 8.52	$ 7.43
Stock Options
Earnings per share:
Stock options excluded from diluted earnings per share (in shares)									300	179	117
Restricted Stock
Earnings per share:
Stock options excluded from diluted earnings per share (in shares)									160	227	99

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