Goodwill and Intangible Assets (Tables)

3 Months Ended

Mar. 31, 2018

Goodwill and Intangible Assets Disclosure [Abstract]

Intangible Assets and Estimated Useful Lives

The Company's intangible assets and estimated useful lives are classified as follows:

	March 31, 2018					December 31, 2017
(in thousands)	Gross Carrying Amount		Accumulated Amortization			Gross Carrying Amount		Accumulated Amortization
Finite-lived intangible assets:
Developed software and core technologies (3 – 11 years)	$	365,684	$	(303,026	)	$	365,317	$	(297,645	)
Customer lists and contract backlog (5 – 15 years)	173,250		(109,438		)	171,048		(104,522		)
Trade names (2 – 10 years)	127,315		(107,746		)	127,200		(104,130		)
Total	$	666,249	$	(520,210	)	$	663,565	$	(506,297	)
Indefinite-lived intangible asset:
Trade name	$	357				$	357

Estimated Future Amortization Expense for Intangible Assets

As of March 31, 2018, estimated future amortization expense for the intangible assets reflected above is as follows:

(in thousands)
Remainder of 2018	$	27,146
2019	26,583
2020	25,674
2021	21,392
2022	16,282
2023	13,088
Thereafter	15,874
Total intangible assets subject to amortization	146,039
Indefinite-lived trade name	357
Other intangible assets, net	$	146,396

Changes in Goodwill

The changes in goodwill during the three months ended March 31, 2018 and 2017 were as follows:

(in thousands)	2018		2017
Beginning balance – January 1	$	1,378,553	$	1,337,215
Acquisitions	—		2,586
Currency translation and other	905		590
Ending balance – March 31	$	1,379,458	$	1,340,391