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Goodwill and Other Intangible Assets
 9 Months Ended
Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Other Intangible Assets Goodwill and Other Intangible Assets
The changes in the carrying amount of goodwill are as follows:
Balance, December 31, 2020$581,174 
Acquisitions1,061,849 
Foreign currency translation adjustments(50,234)
Other adjustments(390)
Balance, September 30, 2021$1,592,399 
Details of intangible assets other than goodwill are as follows:
September 30, 2021December 31, 2020
Estimated
Useful Life		Gross
Carrying
Amount		Accumulated
Amortization		Net Book
Value		Gross
Carrying
Amount		Accumulated
Amortization		Net Book
Value
Intangible assets subject to amortization:
Software and technology
3-5 years
$105,507 $(62,028)$43,479 $67,691 $(63,046)$4,645 
Customer relationships
3-10 years
233,305 (77,584)155,721 97,008 (66,030)30,978 
Trademarks
3-10 years
67,343 (19,543)47,800 26,610 (16,888)9,722 
Non-compete agreements
5 years
350 (121)229 350 (68)282 
406,505 (159,276)247,229 191,659 (146,032)45,627 
Intangible assets not subject to amortization:
In-process research and development4,238 — 4,238 — — — 
Total intangible assets$410,743 $(159,276)$251,467 $191,659 $(146,032)$45,627 
The aggregate amortization expense for purchased intangible assets with finite lives was reflected in the Company’s consolidated statements of operations as follows:
Three Months EndedNine Months Ended
September 30,September 30,
2021202020212020
Cost of subscriptions and licenses$2,771 $1,265 $5,017 $3,426 
Amortization of purchased intangibles8,676 3,869 16,703 10,984 
Total amortization expense$11,447 $5,134 $21,720 $14,410