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Goodwill and Intangible Assets (Tables) | 12 Months Ended
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Dec. 31, 2022 | Dec. 31, 2021
Goodwill and Intangible Assets Disclosure [Abstract] |  |
Schedule of changes in the carrying amount of goodwill, by segment | The annual changes in the carrying amount of goodwill, by segment, as of December 31, 2021 and 2022, were as follows, respectively:
(in thousands) | North America |  | Europe |  | Asia Pacific |  | Total
Balance as of January 1, 2021 | $ | 96,311 |  |  | $ | 38,059 |  |  | $ | 1,474 |  |  | $ | 135,844 |
Foreign exchange | (4) |  |  | (1,622) |  |  | (90) |  |  | (1,716) |
Reclassifications | — |  |  | (106) |  |  | — |  | (106) |
Balance as of December 31, 2021 | 96,307 |  |  | 36,331 |  |  | 1,384 |  |  | 134,022 |
Goodwill acquired | 7,444 |  |  | 365,591 |  |  | — |  |  | 373,035 |
Foreign exchange | (179) |  |  | (11,123) |  |  | (83) |  |  | (11,385) |
Reclassifications | — |  |  | — |  |  | — |  |  | — |
Balance as of December 31, 2022 | $ | 103,572 |  |  | $ | 390,799 |  |  | $ | 1,301 |  |  | $ | 495,672 |
Schedule of changes in the carrying amounts of finite-lived intangible assets subject to amortization |  | The annual changes in the carrying amounts of patents, unpatented technologies, customer relationships and non-compete agreements and other intangible assets subject to amortization for the years ended December 31, 2022 and 2021 were as follows:
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Patents |  |
Balance as of January 1, 2021 | $ | 4,699 |  |  | $ | (934) |  |  | $ | 3,765 |
Purchases | 6,074 |  |  | — |  |  | 6,074 |
Amortization | — |  |  | (428) |  |  | (428) |
Balance as of December 31, 2021 | 10,773 |  |  | (1,362) |  |  | 9,411 |
Purchases | 13,775 |  |  | (670) |  |  | 13,105 |
Amortization | — |  |  | (771) |  |  | (771) |
Foreign exchange | (376) |  |  | — |  |  | (376) |
Balance as of December 31, 2022 | $ | 24,172 |  |  | $ | (2,803) |  |  | $ | 21,369 |
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Unpatented Technology |  |
Balance as of January 1, 2021 | $ | 22,104 |  |  | $ | (16,492) |  |  | $ | 5,612 |
Amortization | — |  |  | (2,174) |  |  | (2,174) |
Reclassifications | 348 |  |  | — |  |  | 348 |
Foreign exchange | (49) |  |  | — |  |  | (49) |
Balance as of December 31, 2021 | 22,403 |  |  | (18,666) |  |  | 3,737 |
Amortization | — |  |  | (793) |  |  | (793) |
Reclassifications | (49) |  |  | — |  |  | (49) |
Foreign exchange | 56 |  |  | — |  |  | 56 |
Balance as of December 31, 2022 | $ | 22,410 |  |  | $ | (19,459) |  |  | $ | 2,951 |
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Non-Compete Agreements, Trademarks and Other |  |
Balance as of January 1, 2021 | $ | 21,582 |  |  | $ | (7,724) |  |  | $ | 13,858 |
Amortization | — |  |  | (2,631) |  |  | (2,631) |
Foreign exchange | (148) |  |  | — |  |  | (148) |
Balance as of December 31, 2021 | 21,434 |  |  | (10,355) |  |  | 11,079 |
Purchases of intangible assets | 6,880 |  |  | (5) |  |  | 6,875 |
Amortization | — |  |  | (2,572) |  |  | (2,572) |
Reclassifications | 149 |  |  | — |  |  | 149 |
Foreign exchange | (162) |  |  | — |  |  | (162) |
Balance as of December 31, 2022 | $ | 28,301 |  |  | $ | (12,932) |  |  | $ | 15,369 |
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Customer Relationships |  |
Balance as of January 1, 2021 | $ | 18,123 |  |  | $ | (15,175) |  |  | $ | 2,948 |
Disposal | (217) |  |  | — |  |  | (217) |
Amortization | — |  |  | (1,186) |  |  | (1,186) |
Foreign exchange | (117) |  |  | — |  |  | (117) |
Balance as of December 31, 2021 | 17,789 |  |  | (16,361) |  |  | 1,428 |
Purchases of intangible assets | 249,767 |  |  | (12,223) |  |  | 237,544 |
Amortization | — |  |  | (386) |  |  | (386) |
Reclassifications | (151) |  |  | — |  |  | (151) |
Foreign exchange | (6,946) |  |  | — |  |  | (6,946) |
Balance as of December 31, 2022 | $ | 260,459 |  |  | $ | (28,970) |  |  | $ | 231,489 |
Schedule of estimated future amortization of intangible assets | December 31, 2022, estimated future amortization of intangible assets was as follows: (in thousands)
2023 | $ | 20,957 |
2024 | 20,012 |
2025 | 19,782 |
2026 | 19,259 |
2027 | 18,953 |
Thereafter | 172,215 |
| $ | 271,178 |
Schedule of finite-lived intangible assets | Definite-lived and indefinite-lived assets, net, by segment as of December 31, 2022, and 2021 were as follows:
| As of December 31, 2021
| Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
(in thousands) |  |
Total Intangible Assets |  |
North America | $ | 46,643 |  |  | $ | (26,346) |  |  | $ | 20,297 |
Europe | 26,371 |  |  | (20,399) |  |  | 5,972 |
Total | $ | 73,014 |  |  | $ | (46,745) |  |  | $ | 26,269 |
| As of December 31, 2022
| Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
(in thousands) |  |
Total Intangible Assets |  |
North America | $ | 53,498 |  |  | $ | (29,782) |  |  | $ | 23,716 |
Europe | 373,538 |  |  | (34,337) |  |  | 339,201 |
Total | $ | 427,036 |  |  | $ | (64,119) |  |  | $ | 362,917 |

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