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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
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Jun. 30, 2026 | Jun. 30, 2025 | Jun. 30, 2026 | Jun. 30, 2025
Intangible Asset, Goodwill and Other [Abstract] |  |  |  |
Amortization of acquired intangible assets | $ 11,991 | $ 11,536 | $ 36,075 | $ 34,356
Cost of revenue | 7,753 | 8,178 | 23,421 | 24,609
Total amortization expense | $ 19,744 | $ 19,714 | $ 59,496 | $ 58,965

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