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Goodwill and Other Intangible Assets - Summary of Definite-Lived Intangible Assets (Details) - USD ($) $ in Thousands | Aug. 31, 2025 | Aug. 31, 2024 | Aug. 31, 2023
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Goodwill and Intangible Assets Disclosure [Abstract] |  |  |
Gross carrying amount | $ 33,510 | $ 38,863 |
Accumulated amortization | (28,273) | (32,641) |
Less: other intangible assets, net, held for sale | (2,821) | 0 |
Net carrying amount | $ 2,416 | $ 6,222 | $ 4,670

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