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Goodwill and Intangible Assets - (Details) - USD ($)
3 Months Ended 6 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2021
Mar. 31, 2020
Goodwill And Intangible Assets Disclosure [Abstract]        
Impairment losses in connection with the goodwill     $ 0 $ 0
Impairment losses in connection with the intangible assets     0 0
Amortization expense related to other intangible assets $ 1,600,000 $ 2,200,000 3,300,000 $ 4,600,000
Goodwill, increased from effects of foreign currency exchange rates     $ 4,600,000