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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, 2021
Feb. 29, 2020
Feb. 28, 2021
Feb. 29, 2020
Segment Reporting Information [Line Items]        
Total operating revenues $ 143,577 $ 113,788 $ 252,062 $ 223,181
Total operating income 15,809 8,642 23,343 20,918
Interest and other expense, net (1,248) (1,775) (1,900) (2,796)
Earnings before income taxes 14,561 6,867 21,443 18,122
Irrigation [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 118,572 93,494 205,929 176,820
Total operating income 18,045 10,084 28,678 19,867
Irrigation [Member] | North America [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 80,178 67,088 132,968 120,675
Irrigation [Member] | International [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 38,394 26,406 72,961 56,145
Infrastructure [Member]        
Segment Reporting Information [Line Items]        
Total operating revenues 25,005 20,294 46,133 46,361
Total operating income 6,341 5,888 10,597 14,630
Corporate Segment        
Segment Reporting Information [Line Items]        
Total operating income $ (8,577) $ (7,330) $ (15,932) $ (13,579)