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

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.

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