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Other Assets - Narrative (Details) - USD ($) |  | 12 Months Ended
--- | --- | ---
Jul. 31, 2018 | Aug. 31, 2021 | Aug. 31, 2020 | Aug. 31, 2019
Goodwill [Line Items] |  |  |  |
Goodwill |  | $ 171,601,000 | $ 172,404,000 |
Goodwill impairment, result of annual impairment analysis | $ 0 |  |  |
Amortization of intangible assets |  | 6,900,000 | 7,300,000 | $ 5,300,000
Goodwill impairment charge |  |  |  | $ 27,400,000
Ag |  |  |  |
Goodwill [Line Items] |  |  |  |
Goodwill |  | 160,475,000 | $ 161,278,000 |
Nitrogen Production |  |  |  |
Goodwill [Line Items] |  |  |  |
Goodwill |  | $ 0 |  |
Minimum | Other Intangible Assets |  |  |  |
Goodwill [Line Items] |  |  |  |
Intangible asset useful lives |  | 2 years |  |
Maximum | Other Intangible Assets |  |  |  |
Goodwill [Line Items] |  |  |  |
Intangible asset useful lives |  | 30 years |  |

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