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EARNINGS PER SHARE (Calculations of Basic and Diluted Earnings Per Share) (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2016
Earnings Per Share [Abstract]      
Earnings from continuing operations $ 135,237 $ 50,175 $ 62,001
Basic earnings per share:      
Shares outstanding for basic earnings per share 116,822,583 115,654,466 115,211,490
Basic earnings per share from continuing operations attributable to CMC (USD per share) $ 1.16 $ 0.43 $ 0.54
Diluted earnings per share:      
Shares outstanding for basic earnings per share 116,822,583 115,654,466 115,211,490
Effect of dilutive securities:      
Stock-based incentive/purchase plans 1,323,265 1,709,942 1,412,336
Shares outstanding for diluted earnings per share 118,145,848 117,364,408 116,623,826
Diluted earnings per share from continuing operations attributable to CMC (USD per share) $ 1.14 $ 0.43 $ 0.53
Anti-dilutive shares not included above 0 0 274,251