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Goodwill and Other Intangible Assets (Narrative) (Details) - USD ($)
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Goodwill And Intangible Assets Disclosure [Abstract]      
Amortization expense $ 2,200,000 $ 2,500,000 $ 2,900,000
Goodwill impairment $ 0 $ 0 $ 0