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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands | Jun. 30, 2023 | Sep. 30, 2022
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Cost | $ 593,119 | $ 348,982
Accumulated Amortization | 281,064 | 170,581
Net Book Value | 312,055 | 178,401
Patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 8,996 | 1,225
Accumulated Amortization | 8,928 | 1,106
Net Book Value | 68 | 119
Completed Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 252,424 | 99,525
Accumulated Amortization | 84,206 | 37,991
Net Book Value | 168,218 | 61,534
Trademarks and Trade Names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 8,909 | 400
Accumulated Amortization | 3,173 | 41
Net Book Value | 5,736 | 359
Noncompete Agreements |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 731 | 681
Accumulated Amortization | 586 | 439
Net Book Value | 145 | 242
Customer Relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 321,155 | 246,949
Accumulated Amortization | 183,943 | 130,802
Net Book Value | 137,212 | 116,147
Other Intangible Assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 904 | 202
Accumulated Amortization | 228 | $ 202
Net Book Value | $ 676 |

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