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Goodwill and Intangible Assets - Schedule of Aggregate Amortization Expense for Intangible Assets with Finite Lives (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Goodwill And Intangible Assets Disclosure [Abstract]    
Amortization of acquired intangible assets $ 8,484 $ 6,547
Cost of license revenue 6,493 6,267
Total amortization expense $ 14,977 $ 12,814