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Goodwill and Intangible Assets (Tables)
6 Months Ended
Jun. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Changes in goodwill
The following table reflects the changes in goodwill for the periods ended December 31, 2020, December 31, 2019 and March 31, 2021:
(in thousands)
Balance at December 31, 2018$832,521 
Acquisitions11,257 
Foreign currency translation and other adjustments (7,135)
Balance at December 31, 2019$836,643 
Foreign currency translation37,440 
Balance at December 31, 2020$874,083 
Foreign currency translation(18,505)
Balance at March 31, 2021 (unaudited)$855,578 
The following table reflects the changes in goodwill for the six months ended June 30, 2021:
(in thousands)
Balance at December 31, 2020$874,083 
Foreign currency translation(13,587)
Balance at June 30, 2021$860,496 
Intangible assets
Intangible assets, net consisted of the following at December 31, 2020, December 31, 2019 and March 31, 2021:
December 31, 2020December 31, 2019
Gross
Carrying
Amount
Accumulated
Amortization
NetGross
Carrying
Amount
Accumulated
Amortization
Net
(in thousands)
Developed product technologies$127,057 $(119,392)$7,665 $124,792 $(93,351)$31,441 
Customer relationships131,045 (111,336)19,709 126,788 (83,545)43,243 
Trademarks1,162 (1,162)— 1,402 (1,312)90 
Total intangible assets, net$259,264 $(231,890)$27,374 $252,982 $(178,208)$74,774 
Intangible asset amortization expense
Intangible asset amortization expense was as follows:
Year Ended December 31,
202020192018
(in thousands)
Intangible asset amortization expense$48,105 $47,289 $50,168 
Amortization of acquired technologies included in cost of revenue relate to our subscription products as follows:
Three Months Ended June 30,Six Months Ended June 30,
2021202020212020
(in thousands)
Amortization of acquired technologies$1,037 $6,132 $3,741 $11,876 
Estimated intangible asset amortization expense
As of December 31, 2020, we estimate aggregate intangible asset amortization expense to be as follows:
Estimated Amortization
(in thousands)
2021$19,182 
20227,637 
2023555 
2024— 
2025—