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Goodwill and Other Intangible Assets - Intangible Assets, Net - Additional Information (Details) - USD ($)
3 Months Ended 6 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2020
Mar. 31, 2019
Goodwill And Intangible Assets Disclosure [Abstract]        
Impairment of long-lived asset     $ 0  
Amortization expense related to intangible assets $ 5,400,000 $ 5,200,000 10,600,000 $ 10,500,000
Expected amortization of intangible assets for remainder of 2020 $ 10,200,000   $ 10,200,000