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Goodwill and Other Intangible Assets - Summary of Definite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
May 31, 2024
Aug. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]    
Gross carrying amount $ 35,862 $ 35,877
Definite-lived intangible assets acquired 2,959 0
Accumulated amortization (32,139) (31,207)
Net carrying amount $ 6,682 $ 4,670