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Industry Segment Information (Schedule of Segment Reporting Information Impacts on Statement of Operations, by Segment) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 29, 2024
Feb. 28, 2023
Feb. 29, 2024
Feb. 28, 2023
Segment Reporting Information [Line Items]        
Total operating revenues $ 151,519 $ 166,241 $ 312,877 $ 342,400
Total operating income 22,098 27,265 43,172 51,863
Interest and other expense, net 599 (1,532) 520 (2,125)
Earnings before income taxes 22,697 25,733 43,692 49,738
Irrigation [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 133,018 147,776 273,186 299,859
Total operating income 25,649 32,820 50,956 61,461
Irrigation [Member] | North America [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 82,845 90,354 172,222 174,288
Irrigation [Member] | International [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 50,173 57,422 100,964 125,571
Infrastructure [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 18,501 18,465 39,691 42,541
Total operating income 3,506 2,019 7,125 5,391
Corporate Segment        
Segment Reporting Information [Line Items]        
Total operating income $ (7,057) $ (7,574) $ (14,909) $ (14,989)