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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands | Jun. 30, 2022 | Sep. 30, 2021
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Finite-Lived Intangible Assets [Line Items] |  |
Cost | $ 326,189 | $ 331,606
Accumulated Amortization | 165,498 | 145,072
Net Book Value | 160,691 | 186,534
Patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 1,226 | 1,242
Accumulated Amortization | 1,077 | 1,002
Net Book Value | 149 | 240
Completed Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 74,361 | 75,527
Accumulated Amortization | 37,029 | 32,383
Net Book Value | 37,332 | 43,144
Trademarks and Trade Names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 424 | 424
Accumulated Amortization | 56 | 33
Net Book Value | 368 | 391
Noncompete Agreements |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 681 | 681
Accumulated Amortization | 391 | 249
Net Book Value | 290 | 432
Customer Relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 249,277 | 253,486
Accumulated Amortization | 126,725 | 111,159
Net Book Value | 122,552 | 142,327
Other Intangible Assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 220 | 246
Accumulated Amortization | $ 220 | $ 246

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