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Other Assets - Schedule of Other Assets (Details) - USD ($) $ in Thousands | Aug. 31, 2024 | Aug. 31, 2023 | Aug. 31, 2022 | Aug. 31, 2021
--- | --- | --- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |  |  |
Goodwill | $ 179,976 | $ 179,976 |  |
Customer lists, trademarks and other intangible assets | 42,105 | 46,980 |  |
Notes receivable (Note 3) | 94,325 | 76,919 |  |
Long-term derivative assets (Note 15) | 2,853 | 1,119 |  |
Prepaid pension and other benefits (Note 13) | 75,935 | 78,819 |  |
Capitalized major maintenance | 223,119 | 289,377 | $ 147,521 | $ 196,641
Cash value life insurance | $ 152,772 | $ 134,126 |  |
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration] | Other assets | Other assets |  |
Operating Lease, Right-of-Use Asset | $ 218,844 | $ 254,844 |  |
Other | 58,041 | 68,364 |  |
Other assets | 1,047,970 | 1,130,524 |  |
Customer lists, trademarks and other intangible assets |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |
Customer lists, trademarks and other intangible assets | $ 42,105 | $ 46,980 |  |

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