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Goodwill and Other Intangible Assets - Summary of Definite-Lived Intangible Assets (Details) - USD ($) $ in Thousands | Feb. 28, 2025 | Aug. 31, 2024
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Goodwill and Intangible Assets Disclosure [Abstract] |  |
Gross carrying amount | $ 39,028 | $ 38,863
Accumulated amortization | (32,884) | (32,641)
Less: other intangible assets, net, held for sale | (3,799) | 0
Net carrying amount | $ 2,345 | $ 6,222

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