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STOCKHOLDERS’ EQUITY AND EARNINGS PER SHARE ATTRIBUTABLE TO CMC (Calculations of the Basic and Diluted Earnings Per Share) (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended
Nov. 30, 2018
Nov. 30, 2017
Earnings Per Share [Abstract]    
Earnings from continuing operations $ 19,420 $ 31,871
Basic earnings per share:    
Shares outstanding for basic earnings per share (shares) 117,387,038 116,243,545
Basic earnings per share attributable to CMC: (in USD per share) $ 0.17 $ 0.27
Diluted earnings per share:    
Shares outstanding for basic earnings per share (shares) 117,387,038 116,243,545
Effect of dilutive securities:    
Stock-based incentive/purchase plans (shares) 1,295,435 1,614,366
Shares outstanding for diluted earnings per share (shares) 118,682,473 117,857,911
Diluted earnings per share attributable to CMC: (in USD per share) $ 0.16 $ 0.27