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Goodwill and Other Intangible Assets (Additional Information) (Details) - USD ($)
3 Months Ended 12 Months Ended
Aug. 31, 2020
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Goodwill and Intangible Assets Disclosure [Abstract]        
Impairment of goodwill $ 0      
Impairment of indefinite-lived intangible assets   $ 0    
Intangible asset amortization   $ 55,544,000 $ 31,923,000 $ 38,490,000