Goodwill and Intangible Assets (Tables)

12 Months Ended

Dec. 31, 2019

Goodwill and Intangible Assets Disclosure [Abstract]

Intangible Assets (Finite-Lived)

Intangible assets are classified as follows:

	December 31, 2019					December 31, 2018
(in thousands)	Gross Carrying Amount		Accumulated Amortization			Gross Carrying Amount		Accumulated Amortization
Finite-lived intangible assets:
Developed software and core technologies	$	635,063	$	(332,622	)	$	410,680	$	(314,730	)
Customer lists and contract backlog	269,629		(132,596		)	209,031		(117,614		)
Trade names	154,259		(117,379		)	137,225		(113,677		)
Total	$	1,058,951	$	(582,597	)	$	756,936	$	(546,021	)
Indefinite-lived intangible asset:
Trade name	$	357				$	357

Intangible Assets (Indefinite-Lived)

Intangible assets are classified as follows:

	December 31, 2019					December 31, 2018
(in thousands)	Gross Carrying Amount		Accumulated Amortization			Gross Carrying Amount		Accumulated Amortization
Finite-lived intangible assets:
Developed software and core technologies	$	635,063	$	(332,622	)	$	410,680	$	(314,730	)
Customer lists and contract backlog	269,629		(132,596		)	209,031		(117,614		)
Trade names	154,259		(117,379		)	137,225		(113,677		)
Total	$	1,058,951	$	(582,597	)	$	756,936	$	(546,021	)
Indefinite-lived intangible asset:
Trade name	$	357				$	357

Estimated Future Amortization Expense for Intangible Assets

As of December 31, 2019, estimated future amortization expense for the intangible assets reflected above is as follows:

(in thousands)
2020	$	54,735
2021	53,231
2022	53,548
2023	52,474
2024	50,530
Thereafter	211,836
Total intangible assets subject to amortization, net	476,354
Indefinite-lived trade name	357
Other intangible assets, net	$	476,711

Changes in Goodwill

The changes in goodwill during the years ended December 31, 2019 and 2018 were as follows:

(in thousands)	2019			2018
Beginning balance - January 1	$	1,572,455		$	1,378,553
Acquisitions and adjustments(1)	842,588			204,381
Currency translation	(1,763		)	(10,479		)
Ending balance - December 31	$	2,413,280		$	1,572,455

⁽¹⁾ In accordance with the accounting for business combinations, we recorded adjustments to goodwill for the effect of changes in the provisional fair values of the assets acquired and liabilities assumed during the measurement period (up to one year from the acquisition date) as we obtained new information about facts and circumstances that existed as of the acquisition date that, if known, would have affected the measurement of the amounts recognized as of that date.