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Intangible Assets and Goodwill (Details 3) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2017 | Dec. 31, 2016 | Dec. 31, 2015
Purchased patents |  |  |
Amortization of intangible assets | $ 41,962 | $ 37,138 | $ 25,074
Estimated future amortization expense of intangible assets |  |  |
Next Twelve Months | 30,382 |  |
Year Two | 19,942 |  |
Year Three | 19,220 |  |
Year Four | 12,683 |  |
Year Five | 1,331 |  |
Thereafter | 3,064 |  |
Finite-lived intangible assets | 86,622 |  |
Indefinite-Lived Intangible Assets (Excluding Goodwill) | 5,100 |  |
Intangible Assets, Net (Excluding Goodwill) | 91,722 | 132,388 |
Customer contracts and contractual relationships |  |  |
Estimated future amortization expense of intangible assets |  |  |
Finite-lived intangible assets | 20,168 | 27,209 |
Existing technology |  |  |
Estimated future amortization expense of intangible assets |  |  |
Finite-lived intangible assets | 66,454 | 100,079 |
Favorable Contracts [Member] |  |  |
Identified intangible assets assumed in the acquisitions |  |  |
Cash received related to intangible assets | 3,600 | 5,900 |
Estimated future amortization expense of intangible assets |  |  |
Finite-lived intangible assets | $ 1,700 | $ 3,600 |
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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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=98514028&loc=d3e3602-108585 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount of amortization expense for assets, excluding financial assets and goodwill, lacking physical substance with a finite life expected to be recognized during the second 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 Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(3) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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