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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
Nov. 30, 2023
Nov. 30, 2022
Segment Reporting Information [Line Items]    
Total operating revenues $ 161,358 $ 176,159
Total operating income 21,074 24,598
Interest and other expense, net (79) (593)
Earnings before income taxes 20,995 24,005
Irrigation [Member]    
Segment Reporting Information [Line Items]    
Total operating revenues 140,168 152,083
Total operating income 25,307 28,641
Irrigation [Member] | North America [Member]    
Segment Reporting Information [Line Items]    
Total operating revenues 89,377 83,934
Irrigation [Member] | International [Member]    
Segment Reporting Information [Line Items]    
Total operating revenues 50,791 68,149
Infrastructure [Member]    
Segment Reporting Information [Line Items]    
Total operating revenues 21,190 24,076
Total operating income 3,619 3,372
Corporate Segment    
Segment Reporting Information [Line Items]    
Total operating income $ (7,852) $ (7,415)