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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 change in the carrying amount of goodwill is as follows:
Three Months Ended September 30,Nine Months Ended September 30,
2021202020212020
(in thousands)
Goodwill, beginning of period$541,850 $539,818 $541,480 $539,818 
Goodwill acquired
310,833 — 311,203 — 
Foreign currency translation adjustment(6,626)— (6,626)— 
Goodwill, end of period$846,057 $539,818 $846,057 $539,818 
The gross carrying amount and accumulated amortization of intangible assets other than goodwill are as follows:
Useful LifeGross ValueAccumulated
Amortization		Net Carrying
Value		Weighted‑
Average
Remaining
Useful Life
(in thousands)
Trademarks
8 years
$34,320 $13,454 $20,866 4.8 years
Customer relationships
2 ‑ 12 years
214,428 55,810 158,618 8.7 years
Developed technology
5 years
54,563 31,173 23,390 2.3 years
Non‑competes
2 years
90 86 4 0.1 years
Balance, December 31, 2020$303,401 $100,523 $202,878 
Trademarks
3 - 8 years
$34,690 $16,683 $18,007 4.1 years
Customer relationships
2 ‑ 12 years
249,483 70,239 179,244 8.5 years
Developed technology
5 - 6.5 years
116,158 41,956 74,202 5.2 years
Non‑competes
2 - 2.5 years
1,796 264 1,532 2.3 years
Order backlog
2.5 years
3,744 379 3,365 2.3 years
IPR&DIndefinite400 — 400 
Balance, September 30, 2021$406,271 $129,521 $276,750 
Amortization expense was $12.2 million and $8.3 million for the three months ended September 30, 2021 and 2020, respectively. Amortization expense was $29.1 million and $25.0 million for the nine months ended September 30, 2021 and 2020, respectively.
The expected future amortization expense as of September 30, 2021 for intangible assets acquired in connection with the Wandera acquisition is as follows:
Years ending December 31:
2021 (remaining three months)
$3,725 
2022
14,897 
2023
14,897 
2024
12,611 
2025
12,544 
Thereafter39,652 
Total amortization expense$98,326 
There were no impairments to goodwill or intangible assets recorded for the three and nine months ended September 30, 2021 and 2020.