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Intangible Assets and Goodwill (Details 2) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Components of intangible assets |  |  |
Accumulated Amortization | $ (247,082) | $ (268,534) |
Finite-lived intangible assets | 52,300 |  |
Indefinite-lived Intangible Assets (Excluding Goodwill) | 2,600 |  |
Intangible Assets, Gross (Excluding Goodwill) | 301,982 | 328,470 |
Intangible assets, net | 54,900 | 59,936 |
Amortization expense for intangible assets | $ 17,058 | $ 29,341 | $ 41,962
Minimum |  |  |
Components of intangible assets |  |  |
Useful life (in years) | 6 months | 1 year |
Maximum |  |  |
Components of intangible assets |  |  |
Useful life (in years) | 10 years | 10 years |
Existing technology |  |  |
Components of intangible assets |  |  |
Gross Carrying Amount | $ 262,789 | $ 258,903 |
Accumulated Amortization | (213,354) | (213,824) |
Finite-lived intangible assets | $ 49,435 | $ 45,079 |
Existing technology | Minimum |  |  |
Components of intangible assets |  |  |
Useful life (in years) | 3 years | 3 years |
Existing technology | Maximum |  |  |
Components of intangible assets |  |  |
Useful life (in years) | 10 years | 10 years |
Customer contracts and contractual relationships |  |  |
Components of intangible assets |  |  |
Gross Carrying Amount | $ 36,293 | $ 67,667 |
Accumulated Amortization | (33,428) | (54,410) |
Finite-lived intangible assets | $ 2,865 | $ 13,257 |
Customer contracts and contractual relationships | Minimum |  |  |
Components of intangible assets |  |  |
Useful life (in years) | 6 months | 1 year |
Customer contracts and contractual relationships | Maximum |  |  |
Components of intangible assets |  |  |
Useful life (in years) | 10 years | 10 years |
Non-competition agreements |  |  |
Components of intangible assets |  |  |
Gross Carrying Amount | $ 300 | $ 300 |
Accumulated Amortization | (300) | (300) |
Finite-lived intangible assets | $ 0 | $ 0 |
Useful life (in years) | 3 years | 3 years |
In-process research and development |  |  |
Components of intangible assets |  |  |
Indefinite-lived Intangible Assets (Excluding Goodwill) | $ 2,600 | $ 1,600 |
Payments and Ticketing business |  |  |
Components of intangible assets |  |  |
Disposal Group, Including Discontinued Operation, Intangible Assets, Noncurrent | $ 20,700 |  |

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