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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 | 6 Months Ended
--- | --- | ---
Feb. 29, 2020 | Feb. 28, 2019 | Feb. 29, 2020 | Feb. 28, 2019
Earnings Per Share [Abstract] |  |  |  |  |
Earnings from continuing operations |  | $ 63,596 | $ 14,928 | $ 146,351 | $ 34,348
Basic earnings per share: |  |  |  |  |
Shares outstanding for basic earnings per share (shares) |  | 118,919,455 | 117,854,335 | 118,644,823 | 117,677,422
Basic earnings per share attributable to CMC: (in USD per share) | [1] | $ 0.53 | $ 0.13 | $ 1.23 | $ 0.29
Diluted earnings per share: |  |  |  |  |
Shares outstanding for basic earnings per share (shares) |  | 118,919,455 | 117,854,335 | 118,644,823 | 117,677,422
Effect of dilutive securities: |  |  |  |  |
Stock-based incentive/purchase plans (shares) |  | 1,487,801 | 1,088,423 | 1,658,436 | 1,319,005
Shares outstanding for diluted earnings per share (shares) |  | 120,407,256 | 118,942,758 | 120,303,259 | 118,996,427
Diluted earnings per share attributable to CMC: (in USD per share) | [1] | $ 0.53 | $ 0.13 | $ 1.22 | $ 0.29
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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