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EARNINGS PER SHARE (Calculations of Basic and Diluted Earnings Per Share) (Details) - USD ($) $ / shares in Units, $ in Thousands	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 [Abstract]
Earnings from continuing operations	$ 85,880	$ 78,551	$ 14,928	$ 19,420	$ 51,260	$ 42,325	$ 9,781	$ 31,871	$ 198,779	$ 135,237	$ 50,175
Basic earnings per share:
Shares outstanding for basic earnings per share									117,834,558	116,822,583	115,654,466
Basic earnings per share from continuing operations attributable to CMC (USD per share)	$ 0.73	$ 0.67	$ 0.13	$ 0.17	$ 0.44	$ 0.36	$ 0.08	$ 0.27	$ 1.69	$ 1.16	$ 0.43
Diluted earnings per share:
Shares outstanding for basic earnings per share									117,834,558	116,822,583	115,654,466
Effect of dilutive securities:
Stock-based incentive/purchase plans									1,290,070	1,323,265	1,709,942
Shares outstanding for diluted earnings per share									119,124,628	118,145,848	117,364,408
Diluted earnings per share from continuing operations attributable to CMC (USD per share)	$ 0.72	$ 0.66	$ 0.13	$ 0.16	$ 0.43	$ 0.36	$ 0.08	$ 0.27	$ 1.67	$ 1.14	$ 0.43
Anti-dilutive shares not included above									0	0	0

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