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Divestitures and Acquisitions - Narrative (Details) shares in Thousands, $ in Thousands |  |  |  |  |  |  |  | 1 Months Ended | 3 Months Ended | 9 Months Ended |  |  |
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Apr. 01, 2022 USD ($) | Dec. 01, 2021 USD ($) milestone shares | Nov. 01, 2021 USD ($) shares | Aug. 24, 2021 USD ($) | Jan. 01, 2021 USD ($) | Jan. 21, 2019 USD ($) | Jul. 19, 2017 USD ($) | Sep. 30, 2021 USD ($) | Sep. 30, 2022 USD ($) milestone | Sep. 30, 2021 USD ($) | Sep. 30, 2022 USD ($) milestone | Sep. 30, 2021 USD ($) | Mar. 31, 2022 USD ($) | Dec. 31, 2018 | Apr. 02, 2015
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of assets and businesses, net of cash sold |  |  |  |  |  |  |  |  |  |  | $ 0 | $ 427,664 |  |  |
Amortization expense |  |  |  |  |  |  |  |  | $ 4,293 | $ 2,690 | 10,273 | 7,619 |  |  |
Installment payments |  |  |  |  |  |  |  |  |  |  | 2,300 | 4,000 |  |  |
Arabian Industrial Investments Company |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ownership percentage |  |  |  |  |  |  |  |  |  |  |  |  | 49.00% |  |
Initial investment |  |  |  |  |  |  |  |  |  |  |  |  | $ 6,500 |  |
Entach Inc |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ownership percentage |  |  |  |  |  |  |  |  |  |  |  |  | 26.60% |  |
Investments |  |  |  |  |  |  |  |  |  |  |  |  | $ 10,000 |  |
Investment impairment charge |  |  |  |  |  |  |  |  | 2,770 |  |  |  |  |  |
Deferred tax assets investments |  |  |  |  |  |  |  |  |  |  |  |  | 9,670 |  |
Warrants |  |  |  |  |  |  |  |  | 200 |  | 200 |  | $ 330 |  |
Kumovis GmbH |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquired ownership percentage | 93.75% |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price | $ 37,726 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair value of RNCI | 1,559 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred cash consideration | $ 3,628 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash deferment period | 15 months |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity interest percentage | 50.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquisition years | 5 years 9 months |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amortization expense |  |  |  |  |  |  |  |  |  |  | 576 |  |  |  |
Reduction of redeemable noncontrolling interest |  |  |  |  |  |  |  |  | 859 |  |  |  |  |  |
Increase in deferred tax liability |  |  |  |  |  |  |  |  | 4,590 |  |  |  |  |  |
Deferred tax liability | $ 5,922 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred revenue | 70 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price | 39,285 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business combination, consideration transferred | $ 39,285 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Kumovis GmbH | Product technology |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Increase in intangible assets |  |  |  |  |  |  |  |  | 12,884 |  |  |  |  |  |
Kumovis GmbH | Trade names |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Increase in intangible assets |  |  |  |  |  |  |  |  | 200 |  |  |  |  |  |
Kumovis GmbH | Kumovis GmbH |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ownership percentage | 6.25% |  |  |  |  |  |  |  |  |  |  |  |  |  |
Titan Additive LLC |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquired ownership percentage | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price | $ 39,040 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Amortization expense |  |  |  |  |  |  |  |  |  |  | $ 338 |  |  |  |
Deferred revenue | 410 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price | $ 39,040 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Titan Additive LLC | Product technology |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Increase in intangible assets |  |  |  |  |  |  |  |  | $ 6,570 |  |  |  |  |  |
Oqton, Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price |  |  | $ 107,078 |  |  |  |  |  |  |  |  |  |  |  |
Deferred revenue |  |  | 490 |  |  |  |  |  |  |  |  |  |  |  |
Purchase price |  |  | $ 187,775 |  |  |  |  |  |  |  |  |  |  |  |
Shares acquired (in shares) | shares |  |  | 2,553 |  |  |  |  |  |  |  |  |  |  |  |
Common stock, fair value from acquisition |  |  | $ 80,697 |  |  |  |  |  |  |  |  |  |  |  |
Acquisition related expenses |  |  | 1,780 |  |  |  |  |  |  |  |  |  |  |  |
Business combination, consideration transferred |  |  | $ 187,775 |  |  |  |  |  |  |  |  |  |  |  |
Volumetric Biotechnologies, Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price |  | $ 24,814 |  |  |  |  |  |  |  |  |  |  |  |  |
Purchase price |  | $ 40,173 |  |  |  |  |  |  |  |  |  |  |  |  |
Shares acquired (in shares) | shares |  | 720 |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock, fair value from acquisition |  | $ 15,358 |  |  |  |  |  |  |  |  |  |  |  |  |
Acquisition related expenses |  | 1,306 |  |  |  |  |  |  |  |  |  |  |  |  |
Additional payments (up to) |  | $ 355,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Number of milestones | milestone |  | 7 |  |  |  |  |  |  | 7 |  | 7 |  |  |  |
Expense for milestone payment |  |  |  |  |  |  |  |  | $ 3,980 |  | $ 11,939 |  |  |  |
Easyway |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquired ownership percentage |  |  |  |  |  | 30.00% | 5.00% |  |  |  |  |  |  | 70.00% | 65.00%
Business combination, consideration transferred |  |  |  |  |  | $ 13,500 | $ 2,300 |  |  |  |  |  |  |  |
Installment payments |  |  |  |  |  |  |  |  |  |  | $ 2,300 | 4,000 |  |  |
Disposal Group, Disposed of by Sale, Not Discontinued Operations | On Demand Manufacturing |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of assets and businesses, net of cash sold |  |  |  |  |  |  |  | $ 82,000 |  |  |  |  |  |  |
Gain on disposition |  |  |  |  |  |  |  |  |  | 38,490 |  | 38,490 |  |  |
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Simbionix |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of assets and businesses, net of cash sold |  |  |  | $ 305,000 |  |  |  |  |  |  |  |  |  |  |
Gain on disposition |  |  |  |  |  |  |  |  |  | 271,404 |  | 271,404 |  |  |
Ownership interest prior to disposal |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |
Cash transferred to the purchaser |  |  |  | $ 6,794 |  |  |  |  |  |  |  |  |  |  |
Gain for accumulated foreign currency translation gain |  |  |  |  |  |  |  |  |  | $ 2,431 |  | 2,431 |  |  |
Disposal Group, Disposed of by Sale, Not Discontinued Operations | GIBBSCam Cimatron |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of assets and businesses, net of cash sold |  |  |  |  | $ 64,173 |  |  |  |  |  |  |  |  |  |
Gain on disposition |  |  |  |  |  |  |  |  |  |  |  | 32,047 |  |  |
Ownership interest prior to disposal |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |
Cash transferred to the purchaser |  |  |  |  | $ 9,476 |  |  |  |  |  |  |  |  |  |
Gain for accumulated foreign currency translation gain |  |  |  |  |  |  |  |  |  |  |  | $ 6,481 |  |  |

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