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BUSINESS SEGMENTS (Summary of Certain Financial Information from Continuing Operations by Reportable Segment and Major Product) (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Aug. 31, 2024
Segment Reporting Information [Line Items]          
Net sales $ 2,019,984 $ 2,078,485 $ 5,683,962 $ 5,929,823  
Adjusted EBITDA reportable segments 230,489 280,332 620,282 848,568  
Total assets 6,993,823 6,817,839 6,993,823 6,817,839 $ 6,817,839
North America Steel Group          
Segment Reporting Information [Line Items]          
Net sales 1,579,603 1,690,853 4,517,698 4,808,246  
Europe Steel Group          
Segment Reporting Information [Line Items]          
Net sales 248,320 209,543 656,992 628,852  
Emerging Businesses Group          
Segment Reporting Information [Line Items]          
Net sales 215,018 196,634 568,343 542,107  
Corporate and Other          
Segment Reporting Information [Line Items]          
Net sales (22,957) (18,545) (59,071) (49,382)  
Segments          
Segment Reporting Information [Line Items]          
Net sales 2,007,330 2,068,757 5,648,530 5,898,517  
Adjusted EBITDA reportable segments 230,489 280,332 620,282 848,568  
Total assets 5,875,397 5,758,325 5,875,397 5,758,325  
Segments | Raw materials          
Segment Reporting Information [Line Items]          
Net sales 337,624 401,675 976,010 1,048,187  
Segments | Steel products          
Segment Reporting Information [Line Items]          
Net sales 864,526 816,323 2,404,021 2,420,103  
Segments | Downstream products          
Segment Reporting Information [Line Items]          
Net sales 586,280 665,832 1,674,806 1,896,285  
Segments | Construction products          
Segment Reporting Information [Line Items]          
Net sales 78,219 73,117 219,931 216,343  
Segments | Ground stabilization solutions          
Segment Reporting Information [Line Items]          
Net sales 68,560 69,451 173,266 171,909  
Segments | Other          
Segment Reporting Information [Line Items]          
Net sales 84,775 52,087 235,928 176,996  
Segments | North America Steel Group          
Segment Reporting Information [Line Items]          
Net sales 1,562,286 1,671,358 4,467,771 4,750,210  
Adjusted EBITDA reportable segments 185,984 246,304 503,007 735,418  
Total assets 4,277,108 4,219,603 4,277,108 4,219,603  
Segments | North America Steel Group | Raw materials          
Segment Reporting Information [Line Items]          
Net sales 331,123 396,954 959,083 1,035,615  
Segments | North America Steel Group | Steel products          
Segment Reporting Information [Line Items]          
Net sales 666,298 648,618 1,884,312 1,918,686  
Segments | North America Steel Group | Downstream products          
Segment Reporting Information [Line Items]          
Net sales 506,639 594,329 1,462,696 1,684,584  
Segments | North America Steel Group | Construction products          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | North America Steel Group | Ground stabilization solutions          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | North America Steel Group | Other          
Segment Reporting Information [Line Items]          
Net sales 58,226 31,457 161,680 111,325  
Segments | Europe Steel Group          
Segment Reporting Information [Line Items]          
Net sales 247,590 208,806 655,026 626,481  
Adjusted EBITDA reportable segments 3,593 (4,192) 30,184 26,139  
Total assets 731,845 677,697 731,845 677,697  
Segments | Europe Steel Group | Raw materials          
Segment Reporting Information [Line Items]          
Net sales 6,501 4,721 16,927 12,572  
Segments | Europe Steel Group | Steel products          
Segment Reporting Information [Line Items]          
Net sales 198,228 167,705 519,709 501,417  
Segments | Europe Steel Group | Downstream products          
Segment Reporting Information [Line Items]          
Net sales 33,639 29,599 92,551 91,744  
Segments | Europe Steel Group | Construction products          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Europe Steel Group | Ground stabilization solutions          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Europe Steel Group | Other          
Segment Reporting Information [Line Items]          
Net sales 9,222 6,781 25,839 20,748  
Segments | Emerging Businesses Group          
Segment Reporting Information [Line Items]          
Net sales 197,454 188,593 525,733 521,826  
Adjusted EBITDA reportable segments 40,912 38,220 87,091 87,011  
Total assets 866,444 861,025 866,444 861,025  
Segments | Emerging Businesses Group | Raw materials          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Emerging Businesses Group | Steel products          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Emerging Businesses Group | Downstream products          
Segment Reporting Information [Line Items]          
Net sales 46,002 41,904 119,559 119,957  
Segments | Emerging Businesses Group | Construction products          
Segment Reporting Information [Line Items]          
Net sales 78,219 73,117 219,931 216,343  
Segments | Emerging Businesses Group | Ground stabilization solutions          
Segment Reporting Information [Line Items]          
Net sales 68,560 69,451 173,266 171,909  
Segments | Emerging Businesses Group | Other          
Segment Reporting Information [Line Items]          
Net sales 4,673 4,121 12,977 13,617  
Segments | Corporate and Other          
Segment Reporting Information [Line Items]          
Net sales 12,654 9,728 35,432 31,306  
Segments | Corporate and Other | Raw materials          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Corporate and Other | Steel products          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Corporate and Other | Downstream products          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Corporate and Other | Construction products          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Corporate and Other | Ground stabilization solutions          
Segment Reporting Information [Line Items]          
Net sales 0 0 0 0  
Segments | Corporate and Other | Other          
Segment Reporting Information [Line Items]          
Net sales 12,654 9,728 35,432 31,306  
Corporate and Other          
Segment Reporting Information [Line Items]          
Net sales 12,654 9,728 35,432 31,306  
Total assets 1,118,426 1,059,514 1,118,426 1,059,514  
Intersegment | North America Steel Group          
Segment Reporting Information [Line Items]          
Net sales 17,317 19,495 49,927 58,036  
Intersegment | Europe Steel Group          
Segment Reporting Information [Line Items]          
Net sales 730 737 1,966 2,371  
Intersegment | Emerging Businesses Group          
Segment Reporting Information [Line Items]          
Net sales 17,564 8,041 42,610 20,281  
Intersegment | Corporate and Other          
Segment Reporting Information [Line Items]          
Net sales $ (35,611) $ (28,273) $ (94,503) $ (80,688)