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Goodwill and Other Intangible Assets (Narrative) (Details) - USD ($)
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Goodwill and Intangible Assets Disclosure [Abstract]      
Impairment of goodwill $ 0 $ 0 $ 0
Impairment charges $ 0 $ 0 $ 0