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Goodwill and Intangible Assets (Tables)
12 Months Ended
Dec. 31, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Intangible Assets (Finite-Lived)
Intangible assets are classified as follows:
 December 31, 2020December 31, 2019
(in thousands)Gross
Carrying
Amount
Accumulated
Amortization
Gross
Carrying
Amount
Accumulated
Amortization
Finite-lived intangible assets:
Developed software and core technologies
$859,620 $(370,338)$635,063 $(332,622)
Customer lists and contract backlog288,085 (136,093)269,629 (132,596)
Trade names175,626 (122,392)154,259 (117,379)
Total$1,323,331 $(628,823)$1,058,951 $(582,597)
Indefinite-lived intangible asset:
Trade name$357 $357 
Intangible Assets (Indefinite-Lived)
Intangible assets are classified as follows:
 December 31, 2020December 31, 2019
(in thousands)Gross
Carrying
Amount
Accumulated
Amortization
Gross
Carrying
Amount
Accumulated
Amortization
Finite-lived intangible assets:
Developed software and core technologies
$859,620 $(370,338)$635,063 $(332,622)
Customer lists and contract backlog288,085 (136,093)269,629 (132,596)
Trade names175,626 (122,392)154,259 (117,379)
Total$1,323,331 $(628,823)$1,058,951 $(582,597)
Indefinite-lived intangible asset:
Trade name$357 $357 
Estimated Future Amortization Expense for Intangible Assets
As of December 31, 2020, estimated future amortization expense for the intangible assets reflected above is as follows:
(in thousands) 
2021$74,981 
202277,300 
202378,426 
202477,399 
202574,805 
Thereafter311,597 
Total intangible assets subject to amortization, net694,508 
Indefinite-lived trade name357 
Other intangible assets, net$694,865 
Changes in Goodwill
The changes in goodwill during the years ended December 31, 2020 and 2019 were as follows:
(in thousands)20202019
Beginning balance - January 1$2,413,280 $1,572,455 
Acquisitions and adjustments(1)
596,054 842,588 
Currency translation28,972 (1,763)
Ending balance - December 31
$3,038,306 $2,413,280 
(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. Such adjustments are not material to our consolidated financial statements.