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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)

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