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Goodwill and Other Intangible Assets, Net - Schedule of Gross Change in Carrying Amount of Goodwill (Details) - USD ($)
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Goodwill [Roll Forward]      
Goodwill, beginning of period $ 229,419,000 $ 255,198,000  
Additions   14,759,000  
Measurement period adjustments   (725,000)  
Impairments (215,941,000) (39,270,000) $ 0
Foreign currency translation adjustment (373,000) (543,000)  
Goodwill, end of period $ 13,105,000 $ 229,419,000 $ 255,198,000