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Goodwill and Intangible Assets
9 Months Ended
Sep. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets
Goodwill and Intangible Assets
The Company's intangible assets are classified as follows:
 
September 30, 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
$
455,998

 
$
(325,583
)
 
$
410,680

 
$
(314,730
)
Customer lists and contract backlog
238,373

 
(127,770
)
 
209,031

 
(117,614
)
Trade names
142,224

 
(116,221
)
 
137,225

 
(113,677
)
Total
$
836,595

 
$
(569,574
)
 
$
756,936

 
$
(546,021
)
Indefinite-lived intangible asset:
 
 
 
 
 
 
 
Trade name
$
357

 
 
 
$
357

 
 

Amortization expense for the intangible assets reflected above was $8.5 million and $9.0 million for the three months ended September 30, 2019 and 2018, respectively. Amortization expense for the intangible assets reflected above was $25.4 million and $33.8 million for the nine months ended September 30, 2019 and 2018, respectively.
As of September 30, 2019, estimated future amortization expense for the intangible assets reflected above is as follows:
(in thousands)
 
Remainder of 2019
$
8,499

2020
36,101

2021
34,100

2022
32,780

2023
31,122

2024
28,728

Thereafter
95,691

Total intangible assets subject to amortization
267,021

Indefinite-lived trade name
357

Other intangible assets, net
$
267,378


The changes in goodwill during the nine months ended September 30, 2019 and 2018 were as follows:
(in thousands)
2019
 
2018
Beginning balance – January 1
$
1,572,455

 
$
1,378,553

Acquisitions and adjustments(1)
219,009

 
204,271

Currency translation
(19,602
)
 
(7,257
)
Ending balance – September 30
$
1,771,862

 
$
1,575,567


(1) In accordance with the accounting for business combinations, the Company 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 the Company 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.
During the first quarter of 2019, the Company completed the annual impairment test for goodwill and the indefinite-lived intangible asset and determined that these assets had not been impaired as of the test date, January 1, 2019. No other events or circumstances changed during the nine months ended September 30, 2019 that would indicate that the fair values of the Company's reporting unit and indefinite-lived intangible asset are below their carrying amounts.