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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 9 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Goodwill and Intangible Assets Disclosure [Abstract]        
Amortization of acquired intangible assets $ 10,670 $ 8,931 $ 29,352 $ 25,865
Cost of revenue 9,841 6,596 25,817 19,010
Total amortization expense $ 20,511 $ 15,527 $ 55,169 $ 44,875