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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. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
Segment Reporting Information [Line Items]        
Total operating revenues $ 166,241 $ 200,137 $ 342,400 $ 366,288
Total operating income 27,265 18,338 51,863 31,699
Interest and other expense, net (1,532) 866 (2,125) (3,019)
Earnings before income taxes 25,733 19,204 49,738 28,680
Irrigation [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 147,776 180,759 299,859 326,667
Total operating income 32,820 24,734 61,461 41,946
Irrigation [Member] | North America [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 90,354 100,730 174,288 179,705
Irrigation [Member] | International [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 57,422 80,029 125,571 146,962
Infrastructure [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 18,465 19,378 42,541 39,621
Total operating income 2,019 324 5,391 3,090
Corporate Segment        
Segment Reporting Information [Line Items]        
Total operating income $ (7,574) $ (6,720) $ (14,989) $ (13,337)