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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands | Sep. 30, 2023 | Sep. 30, 2022
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Cost | $ 515,636 | $ 348,982
Accumulated Amortization | 221,335 | 170,581
Net Book Value | 294,301 | 178,401
Patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 1,226 | 1,225
Accumulated Amortization | 1,175 | 1,106
Net Book Value | 51 | 119
Completed Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 215,430 | 99,525
Accumulated Amortization | 56,021 | 37,991
Net Book Value | 159,409 | 61,534
Trademarks and Trade Names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 6,630 | 400
Accumulated Amortization | 1,445 | 41
Net Book Value | 5,185 | 359
Non-competition agreements |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 681 | 681
Accumulated Amortization | 568 | 439
Net Book Value | 113 | 242
Customer Relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 290,800 | 246,949
Accumulated Amortization | 161,257 | 130,802
Net Book Value | 129,543 | 116,147
Other Intangible Assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 869 | 202
Accumulated Amortization | $ 869 | $ 202

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