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Goodwill and Other Intangibles (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2017 | Dec. 31, 2016 | Dec. 31, 2015
Goodwill and Other Intangibles [Abstract] |  |  |
Goodwill | $ 359,819 | $ 352,080 |
Goodwill foreign currency translation adjustments | 8,000 |  |
Indefinite-lived intangible assets | 13,923 | 13,544 |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, accumulated amortization | $ 472,705 | $ 390,920 |
Finite-lived intangible assets, average useful life in years | 7 years | 7 years |
Intangible Assets [Line Items] |  |  |
Intangible assets, gross | $ 701,100 | $ 597,975 |
Intangible assets, gross foreign currency translation adjustments | 58,000 |  |
Intangible assets, accumulated amortization foreign currency translation adjustments | 38,000 |  |
Amortization expense | 45,000 | 45,000 | $ 45,000
Finite-Lived Intangible Assets Future Amortization Expense [Abstract] |  |  |
Future amortization expense, year 1 | 46,000 |  |
Future amortization expense, year 2 | 46,000 |  |
Future amortization expense, year 3 | 46,000 |  |
Future amortization expense, year 4 | 46,000 |  |
Future amortization expense, year 5 | 46,000 |  |
Capitalized software [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, gross | 438,652 | 355,973 |
Finite-lived intangible assets, accumulated amortization | $ 285,461 | $ 223,572 |
Finite-lived intangible assets, average useful life in years | 5 years | 5 years |
Purchased intangibles [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, gross | $ 169,870 | $ 162,180 |
Finite-lived intangible assets, accumulated amortization | $ 138,750 | $ 127,045 |
Finite-lived intangible assets, average useful life in years | 11 years | 11 years |
Licenses [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, gross | $ 5,840 | $ 4,632 |
Finite-lived intangible assets, accumulated amortization | $ 4,628 | $ 3,851 |
Finite-lived intangible assets, average useful life in years | 6 years | 6 years |
Patents and other intangibles [Member] |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets, gross | $ 72,815 | $ 61,646 |
Finite-lived intangible assets, accumulated amortization | $ 43,866 | $ 36,452 |
Finite-lived intangible assets, average useful life in years | 8 years | 8 years |

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