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Goodwill and Acquired Intangible Assets - Schedule of Aggregate Amortization Expense for Intangible Assets with Finite Lives (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |  |  |
Amortization of acquired intangible assets | $ 45,948 | $ 42,018 | $ 40,022
Cost of revenue | 32,828 | 38,495 | 35,694
Total amortization expense | $ 78,776 | $ 80,513 | $ 75,716

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- Definition Amortization of intangible assets including cost of goods and services sold amortization. + References No definition available. + Details
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