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Goodwill and Other Intangible Assets | 9 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2020 | Dec. 31, 2019
Goodwill and Intangible Assets Disclosure [Abstract] |  |
Goodwill and Other Intangible Assets | Note 6: Goodwill and Other Intangible Assets The changes in the carrying amount of goodwill for the nine months ended September 30, 2020 are as follows:
Balance, December 31, 2019 |  | $ | 480,065
Acquisitions |  |  | 58,315
Foreign currency translation adjustments |  |  | 3,935
Other adjustments |  |  | (76)
Balance, September 30, 2020 |  | $ | 542,239
Details of intangible assets other than goodwill as of December 31, 2019 and September 30, 2020 are as follows:
|  |  |  | December 31, 2019 |  | September 30, 2020
|  |  |  | Gross |  |  |  |  |  |  |  | Gross |  |  |  |  |  |
|  | Estimated |  | Carrying |  | Accumulated |  | Net Book |  | Carrying |  | Accumulated |  | Net Book
|  | Useful Life |  | Amount |  | Amortization |  | Value |  | Amount |  | Amortization |  | Value
Intangible assets subject to amortization: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Software and technology |  | 3 years |  | $ | 66,063 |  | $ | (58,866) |  | $ | 7,197 |  | $ | 68,650 |  | $ | (62,661) |  | $ | 5,989
Customer relationships |  | 3‑10 years |  |  | 88,904 |  |  | (59,744) |  |  | 29,160 |  |  | 98,602 |  |  | (68,217) |  |  | 30,385
Trademarks |  | 3‑10 years |  |  | 22,278 |  |  | (12,461) |  |  | 9,817 |  |  | 25,353 |  |  | (15,466) |  |  | 9,887
Non-compete agreements |  | 5 years |  |  | 150 |  |  | (11) |  |  | 139 |  |  | 350 |  |  | (51) |  |  | 299
Total intangible assets |  |  |  | $ | 177,395 |  | $ | (131,082) |  | $ | 46,313 |  | $ | 192,955 |  | $ | (146,395) |  | $ | 46,560
The aggregate amortization expense for purchased intangible assets with finite lives recorded for the nine months ended September 30, 2019 and 2020 was reflected in our consolidated statements of operations as follows:
|  | Nine Months Ended
|  | September 30,
|  | 2019 |  | 2020
Cost of subscriptions and licenses |  | $ | 2,760 |  | $ | 3,426
Amortization of purchased intangibles |  |  | 10,402 |  |  | 10,984
Total amortization expense |  | $ | 13,162 |  | $ | 14,410
| Note 6: Goodwill and Other Intangible Assets The changes in the carrying amount of goodwill for the years ended December 31, 2018 and 2019 are as follows:
Balance, December 31, 2017 |  | $ | 336,982
Acquisitions |  |  | 123,144
Foreign currency translation adjustments |  |  | (13,808)
Balance, December 31, 2018 |  |  | 446,318
Acquisitions |  |  | 34,041
Foreign currency translation adjustments |  |  | (321)
Other adjustments |  |  | 27
Balance, December 31, 2019 |  | $ | 480,065
Details of intangible assets other than goodwill as of December 31, 2018 and 2019 are as follows:
|  |  |  | As of December 31, 2018 |  | As of December 31, 2019
|  |  |  | Gross |  |  |  |  |  |  |  | Gross |  |  |  |  |  |
|  | Estimated | Carrying |  | Accumulated | Net Book | Carrying |  | Accumulated | Net Book
|  | Useful Life |  | Amount |  | Amortization |  | Value |  | Amount |  | Amortization |  | Value
Intangible assets subject to amortization |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Software and technology |  | 3 years |  | $ | 66,251 |  | $ | (57,937) |  | $ | 8,314 |  | $ | 66,063 |  | $ | (58,866) |  | $ | 7,197
Customer relationships |  | 3 – 10 years |  |  | 86,364 |  |  | (52,753) |  |  | 33,611 |  |  | 88,904 |  |  | (59,744) |  |  | 29,160
Trademarks |  | 3 – 10 years |  |  | 20,799 |  |  | (8,952) |  |  | 11,847 |  |  | 22,278 |  |  | (12,461) |  |  | 9,817
Non-compete agreements |  | 5 years |  |  | — |  |  | — |  |  | — |  |  | 150 |  |  | (11) |  |  | 139
|  |  |  |  | 173,414 |  |  | (119,642) |  |  | 53,772 |  |  | 177,395 |  |  | (131,082) |  |  | 46,313
Intangible assets not subject to amortization |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
In-process research and development |  |  |  |  | 229 |  |  | — |  |  | 229 |  |  | — |  |  | — |  |  | —
Total intangible assets |  |  |  | $ | 173,643 |  | $ | (119,642) |  | $ | 54,001 |  | $ | 177,395 |  | $ | (131,082) |  | $ | 46,313
The aggregate amortization expense for purchased intangible assets with finite lives recorded for the years ended December 31, 2018 and 2019 was reflected in our consolidated statements of operations as follows:
|  | Year Ended
|  | December 31,
|  | 2018 |  | 2019
Cost of subscriptions and licenses |  | $ | 2,840 |  | $ | 3,795
Amortization of purchased intangibles |  |  | 14,000 |  |  | 14,213
Total amortization expense |  | $ | 16,840 |  | $ | 18,008
Amortization expense for the years following December 31, 2019 are estimated as follows:
2020 |  | $ | 17,422
2021 |  |  | 11,963
2022 |  |  | 8,543
2023 |  |  | 3,798
2024 |  |  | 2,058
Thereafter |  |  | 2,529
|  | $ | 46,313

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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -URI http://asc.fasb.org/topic&trid=2144416 + Details
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