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Goodwill and Other Intangible Assets - Summary of Definite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
May 31, 2025
Aug. 31, 2024
Goodwill and Intangible Assets Disclosure [Abstract]    
Gross carrying amount $ 39,897 $ 38,863
Accumulated amortization (33,661) (32,641)
Less: other intangible assets, net, held for sale (3,880) 0
Net carrying amount $ 2,356 $ 6,222