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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, 2022
Dec. 31, 2021
Goodwill and Intangible Assets Disclosure [Abstract]    
Amortization of acquired intangible assets $ 8,026 $ 8,484
Cost of license revenue 6,142 6,493
Total amortization expense $ 14,168 $ 14,977