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Goodwill and Other Intangible Assets - Summary of Definite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
May 31, 2023
Aug. 31, 2022
Goodwill and Intangible Assets Disclosure [Abstract]    
Gross carrying amount $ 35,670 $ 35,166
Accumulated amortization (30,772) (29,578)
Net carrying amount $ 4,898 $ 5,588