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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands | Sep. 30, 2022 | Sep. 30, 2021
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Finite-Lived Intangible Assets [Line Items] |  |
Cost | $ 348,982 | $ 331,606
Accumulated Amortization | 170,581 | 145,072
Net Book Value | 178,401 | 186,534
Patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 1,225 | 1,242
Accumulated Amortization | 1,106 | 1,002
Net Book Value | 119 | 240
Completed Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 99,525 | 75,527
Accumulated Amortization | 37,991 | 32,383
Net Book Value | 61,534 | 43,144
Trademarks and Trade Names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 400 | 424
Accumulated Amortization | 41 | 33
Net Book Value | 359 | 391
Noncompete Agreements |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 681 | 681
Accumulated Amortization | 439 | 249
Net Book Value | 242 | 432
Customer Relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 246,949 | 253,486
Accumulated Amortization | 130,802 | 111,159
Net Book Value | 116,147 | 142,327
Other Intangible Assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 202 | 246
Accumulated Amortization | $ 202 | $ 246

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