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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands | Mar. 31, 2023 | Sep. 30, 2022
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Cost | $ 598,641 | $ 348,982
Accumulated Amortization | 274,714 | 170,581
Net Book Value | 323,927 | 178,401
Patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 8,996 | 1,225
Accumulated Amortization | 8,911 | 1,106
Net Book Value | 85 | 119
Completed Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 258,146 | 99,525
Accumulated Amortization | 85,726 | 37,991
Net Book Value | 172,420 | 61,534
Trademarks and Trade Names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 8,848 | 400
Accumulated Amortization | 2,865 | 41
Net Book Value | 5,983 | 359
Noncompete Agreements |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 731 | 681
Accumulated Amortization | 553 | 439
Net Book Value | 178 | 242
Customer Relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 321,024 | 246,949
Accumulated Amortization | 176,432 | 130,802
Net Book Value | 144,592 | 116,147
Other Intangible Assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 896 | 202
Accumulated Amortization | 227 | $ 202
Net Book Value | $ 669 |

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