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Goodwill and Other Intangible Assets - Schedule of Changes in Carrying Amount of Goodwill (Details)
$ in Thousands
6 Months Ended
Feb. 29, 2020
USD ($)
Goodwill And Intangible Assets Disclosure [Abstract]  
Beginning balance $ 401,178
Goodwill recorded during the period 23,544
Other (11)
Ending balance $ 424,711