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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands | Mar. 31, 2024 | Sep. 30, 2023
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Cost | $ 519,227 | $ 515,636
Accumulated Amortization | 251,601 | 221,335
Net Book Value | 267,626 | 294,301
Patents |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 1,226 | 1,226
Accumulated Amortization | 1,185 | 1,175
Net Book Value | 41 | 51
Completed Technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 225,235 | 215,430
Accumulated Amortization | 74,969 | 56,021
Net Book Value | 150,266 | 159,409
Trademarks and Trade Names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 6,763 | 6,630
Accumulated Amortization | 2,250 | 1,445
Net Book Value | 4,513 | 5,185
Non-competition agreements |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost |  | 681
Accumulated Amortization |  | 568
Net Book Value |  | 113
Customer Relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 285,116 | 290,800
Accumulated Amortization | 172,310 | 161,257
Net Book Value | 112,806 | 129,543
Other Intangible Assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Cost | 887 | 869
Accumulated Amortization | $ 887 | $ 869

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