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Goodwill and Other Intangible Assets (Carrying Amount in Goodwill by Segments) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Goodwill [Line Items]    
Goodwill, Beginning Balance $ 67,130 $ 67,968
Acquisition of FieldWise 15,589  
Foreign currency translation 402 (838)
Goodwill, Ending Balance 83,121 67,130
Irrigation [Member]    
Goodwill [Line Items]    
Goodwill, Beginning Balance 51,747 51,811
Acquisition of FieldWise 15,589  
Foreign currency translation 35 (64)
Goodwill, Ending Balance 67,371 51,747
Infrastructure [Member]    
Goodwill [Line Items]    
Goodwill, Beginning Balance 15,383 16,157
Acquisition of FieldWise 0  
Foreign currency translation 367 (774)
Goodwill, Ending Balance $ 15,750 $ 15,383