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Goodwill and Intangible Assets - Schedule of Intangible Assets Subject to Amortization (Details) - USD ($) $ in Thousands | Sep. 30, 2023 | Dec. 31, 2022
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Finite-lived Intangible Assets [Roll Forward] |  |
Gross carrying amount | $ 918,427 | $ 924,186
Accumulated amortization | (747,801) | (734,566)
Net value | 170,626 | 189,620
Customer relationships |  |
Finite-lived Intangible Assets [Roll Forward] |  |
Gross carrying amount | 670,800 | 673,586
Accumulated amortization | (509,162) | (493,361)
Net value | 161,638 | 180,225
Patents |  |
Finite-lived Intangible Assets [Roll Forward] |  |
Gross carrying amount | 239,113 | 242,089
Accumulated amortization | (236,535) | (239,010)
Net value | 2,578 | 3,079
Other |  |
Finite-lived Intangible Assets [Roll Forward] |  |
Gross carrying amount | 8,514 | 8,511
Accumulated amortization | (2,104) | (2,195)
Net value | $ 6,410 | $ 6,316

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