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Goodwill and Other Intangible Assets (Carrying Amount in Goodwill by Segments) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Goodwill [Line Items]    
Goodwill, Beginning Balance $ 83,121 $ 67,130
Acquisition of FieldWise   15,589
FieldWise purchase accounting adjustments 1,004  
Foreign currency translation 69 402
Goodwill, Ending Balance 84,194 83,121
Irrigation [Member]    
Goodwill [Line Items]    
Goodwill, Beginning Balance 67,371 51,747
Acquisition of FieldWise   15,589
FieldWise purchase accounting adjustments 1,004  
Foreign currency translation (23) 35
Goodwill, Ending Balance 68,352 67,371
Infrastructure [Member]    
Goodwill [Line Items]    
Goodwill, Beginning Balance 15,750 15,383
Acquisition of FieldWise   0
FieldWise purchase accounting adjustments 0  
Foreign currency translation 92 367
Goodwill, Ending Balance $ 15,842 $ 15,750