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Goodwill and Long-lived Assets | 9 Months Ended
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Sep. 30, 2022
Notes To Financial Statements [Abstract] |
Goodwill and Intangible Assets | Goodwill and Intangible Assets During the three months ended September 30, 2022, we completed an immaterial business combination which increased goodwill and existing technology intangible assets. Goodwill The change in the carrying value of goodwill for the nine months ended September 30, 2022, categorized by reportable segments, is as follows (in thousands):
| Clear Aligner |  | Systems and Services |  | Total
Balance as of December 31, 2021 | $ | 112,208 |  |  | $ | 306,339 |  |  | $ | 418,547 |
Additions from acquisition | — |  |  | 8,729 |  |  | 8,729 |
Foreign currency translation adjustments | (6,694) |  |  | (42,966) |  |  | (49,660) |
Balance as of September 30, 2022 | $ | 105,514 |  |  | $ | 272,102 |  |  | $ | 377,616 |
Intangible Long-Lived Assets Acquired intangible long-lived assets were as follows, excluding intangibles that were fully amortized (in thousands):
| Weighted Average Amortization Period (in years) |  | Gross Carrying Amount as of September 30, 2022 |  | Accumulated Amortization |  | Accumulated Impairment Loss |  | Net Carrying Value as of September 30, 2022
Existing technology | 10 |  | $ | 112,051 |  |  | $ | (30,589) |  |  | $ | (4,328) |  |  | $ | 77,134 |
Customer relationships | 10 |  | 21,500 |  |  | (5,375) |  |  | — |  |  | 16,125 |
Trademarks and tradenames | 10 |  | 17,200 |  |  | (5,925) |  |  | (4,179) |  |  | 7,096 |
Patents | 8 |  | 6,511 |  |  | (5,090) |  |  | — |  |  | 1,421 |
|  |  | $ | 157,262 |  |  | $ | (46,979) |  |  | $ | (8,507) |  |  | 101,776 |
Foreign currency translation adjustments |  |  |  |  |  |  |  |  | (10,065) |
Total intangible assets, net 1 |  |  |  |  |  |  |  |  | $ | 91,711 |
1 Also includes $33.5 million of fully amortized intangible assets related to customer relationships.
| Weighted Average Amortization Period (in years) |  | Gross Carrying Amount as of December 31, 2021 |  | Accumulated Amortization |  | Accumulated Impairment Loss |  | Net Carrying Value as of December 31, 2021
Existing technology | 10 |  | $ | 104,531 |  |  | $ | (22,495) |  |  | $ | (4,328) |  |  | $ | 77,708 |
Customer relationships | 11 |  | 55,000 |  |  | (25,891) |  |  | (10,751) |  |  | 18,358 |
Trademarks and tradenames | 10 |  | 17,200 |  |  | (4,547) |  |  | (4,179) |  |  | 8,474 |
Patents | 8 |  | 6,511 |  |  | (4,495) |  |  | — |  |  | 2,016 |
|  |  | $ | 183,242 |  |  | $ | (57,428) |  |  | $ | (19,258) |  |  | 106,556 |
Foreign currency translation adjustments |  |  |  |  |  |  |  |  | 3,153 |
Total intangible assets, net |  |  |  |  |  |  |  |  | $ | 109,709 |
The total estimated annual future amortization expense for these acquired intangible assets as of September 30, 2022 is as follows (in thousands):
Fiscal Year Ending December 31, |  | Amortization
Remainder of 2022 |  | $ | 4,144 |
2023 |  | 16,501 |
2024 |  | 15,335 |
2025 |  | 14,959 |
2026 |  | 14,353 |
Thereafter |  | 36,484 |
Total |  | $ | 101,776 |
Amortization expense for the three months ended September 30, 2022 and 2021 was $3.9 million and $4.4 million, respectively, and amortization expense for the nine months ended September 30, 2022 and 2021 was $12.1 million and $12.2 million, respectively.

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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 https://asc.fasb.org/topic&trid=2144416 + Details
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