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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, 2024	Aug. 31, 2023	Aug. 31, 2022
Earnings Per Share [Abstract]
Net earnings	$ 485,491	$ 859,760	$ 1,217,262
Earnings Per Share, Basic [Abstract]
Average basic shares outstanding (in shares)	115,844,977	117,077,703	120,648,090
Incremental Weighted Average Shares Attributable to Dilutive Effect [Abstract]
Effect of dilutive securities (in shares)	1,307,575	1,528,568	1,724,296
Diluted earnings per share from continuing operations attributable to CMC (USD per share)	$ 4.14	$ 7.25	$ 9.95
Weighted Average Number of Shares Outstanding, Diluted, Total	117,152,552	118,606,271	122,372,386

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