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Goodwill and Other Intangible Assets - Additional Information (Detail) - USD ($)
12 Months Ended
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2016
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Goodwill And Intangible Assets Disclosure [Abstract]            
Goodwill impairment $ 0 $ 0 $ 0      
Amortization expense for intangible assets       $ 19,600,000 $ 16,700,000 $ 15,400,000