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STOCKHOLDERS EQUITY AND EARNINGS PER SHARE (Calculations of the Basic and Diluted Earnings Per Share) (Details) - USD ($) $ / shares in Units, $ in Thousands		3 Months Ended
		Nov. 30, 2019	Nov. 30, 2018
Earnings Per Share [Abstract]
Earnings from continuing operations		$ 82,755	$ 19,420
Basic earnings per share:
Shares outstanding for basic earnings per share (shares)		118,370,191	117,387,038
Basic earnings per share attributable to CMC: (in USD per share)	[1]	$ 0.70	$ 0.17
Diluted earnings per share:
Shares outstanding for basic earnings per share (shares)		118,370,191	117,387,038
Effect of dilutive securities:
Stock-based incentive/purchase plans (shares)		1,403,347	1,295,435
Shares outstanding for diluted earnings per share (shares)		119,773,538	118,682,473
Diluted earnings per share attributable to CMC: (in USD per share)	[1]	$ 0.69	$ 0.16
Antidilutive (shares)		0	0
[1] *Earnings Per Share ("EPS") is calculated independently for each component and may not sum to Net EPS due to rounding

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