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Goodwill and Other Intangible Assets (Carrying Amount in Goodwill by Segments) (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Aug. 31, 2025 | Aug. 31, 2024
Goodwill [Line Items] |  |
Goodwill, Beginning Balance | $ 84,194 | $ 83,121
FieldWise purchase accounting adjustments |  | 1,004
Foreign currency translation | 265 | 69
Goodwill, Ending Balance | 84,459 | 84,194
Irrigation [Member] |  |
Goodwill [Line Items] |  |
Goodwill, Beginning Balance | 68,352 | 67,371
FieldWise purchase accounting adjustments |  | 1,004
Foreign currency translation | 24 | (23)
Goodwill, Ending Balance | 68,376 | 68,352
Infrastructure [Member] |  |
Goodwill [Line Items] |  |
Goodwill, Beginning Balance | 15,842 | 15,750
FieldWise purchase accounting adjustments |  | 0
Foreign currency translation | 241 | 92
Goodwill, Ending Balance | $ 16,083 | $ 15,842

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