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Intangible Assets and Goodwill (Details 3) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
Purchased patents |  |  |
Amortization of intangible assets | $ 29,341 | $ 41,962 | $ 37,138
Estimated future amortization expense of intangible assets |  |  |
Next Twelve Months | 20,177 |  |
Year Two | 19,892 |  |
Year Three | 12,975 |  |
Year Four | 2,047 |  |
Year Five | 1,526 |  |
Thereafter | 1,719 |  |
Finite-lived intangible assets | 58,336 |  |
Indefinite-lived Intangible Assets (Excluding Goodwill) | 1,600 |  |
Intangible Assets, Net (Excluding Goodwill) | 59,936 | 91,722 |
Customer contracts and contractual relationships |  |  |
Estimated future amortization expense of intangible assets |  |  |
Finite-lived intangible assets | 13,257 | 20,168 |
Existing technology |  |  |
Estimated future amortization expense of intangible assets |  |  |
Finite-lived intangible assets | 45,079 | 66,454 |
Favorable Contracts [Member] |  |  |
Identified intangible assets assumed in the acquisitions |  |  |
Cash received related to intangible assets | 1,500 | 3,600 |
Estimated future amortization expense of intangible assets |  |  |
Finite-lived intangible assets | $ 900 | $ 1,700 |
Non-competition agreements |  |  |
Identified intangible assets assumed in the acquisitions |  |  |
Finite-Lived Intangible Asset, Useful Life | 3 years | 3 years |
Estimated future amortization expense of intangible assets |  |  |
Finite-lived intangible assets | $ 0 | $ 0 |
Minimum |  |  |
Identified intangible assets assumed in the acquisitions |  |  |
Finite-Lived Intangible Asset, Useful Life | 1 year | 1 year |
Minimum | Customer contracts and contractual relationships |  |  |
Identified intangible assets assumed in the acquisitions |  |  |
Finite-Lived Intangible Asset, Useful Life | 1 year | 1 year |
Minimum | Existing technology |  |  |
Identified intangible assets assumed in the acquisitions |  |  |
Finite-Lived Intangible Asset, Useful Life | 3 years | 3 years |

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- Definition Amount of amortization expense for assets, excluding financial assets and goodwill, lacking physical substance with a life expected to be recognized after the fifth fiscal year following the latest fiscal year. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date. + References No definition available. + Details
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