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Goodwill and Acquired Intangibles (Tables) | 3 Months Ended
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Apr. 03, 2021
Goodwill and Intangible Assets Disclosure [Abstract] |
Changes in the carrying amount of goodwill | The changes in the carrying amount of goodwill during the three months ended April 3, 2021 were as follows:
| Gross Carrying Amount
| (In thousands)
Balance as of January 2, 2021 | $ | 782,087 |
Goodwill resulting from acquisitions | 133,326 |
Effect of foreign currency translation | (2,810) |
Balance as of April 3, 2021 | $ | 912,603 |
Schedule of acquired intangibles with finite and indefinite lives (excluding goodwill) | Acquired intangibles as of April 3, 2021 were as follows, excluding intangibles that were fully amortized as of January 2, 2021:
| Gross Carrying Amount |  | Accumulated Amortization |  | Acquired Intangibles, Net
| (In thousands)
Existing technology | $ | 393,026 |  |  | $ | (219,061) |  |  | $ | 173,965 |
Agreements and relationships | 198,546 |  |  | (115,650) |  |  | 82,896 |
Tradenames, trademarks and patents | 10,290 |  |  | (2,480) |  |  | 7,810 |
Total acquired intangibles | $ | 601,862 |  |  | $ | (337,191) |  |  | $ | 264,671 |
Acquired intangibles as of January 2, 2021 were as follows, excluding intangibles that were fully amortized as of December 28, 2019:
| Gross Carrying Amount |  | Accumulated Amortization |  | Acquired Intangibles, Net
| (In thousands)
Existing technology | $ | 370,838 |  |  | $ | (230,654) |  |  | $ | 140,184 |
Agreements and relationships | 180,023 |  |  | (113,629) |  |  | 66,394 |
Tradenames, trademarks and patents | 10,590 |  |  | (6,578) |  |  | 4,012 |
Total acquired intangibles with definite lives | $ | 561,451 |  |  | $ | (350,861) |  |  | $ | 210,590 |
Amortization of acquired intangibles | Amortization expense for the three months ended April 3, 2021 and March 28, 2020 by condensed consolidated income statement caption was as follows:
|  |  | Three Months Ended
|  |  |  |  | April 3, 2021 |  | March 28, 2020
|  |  |  |  | (In thousands)
Cost of product and maintenance |  |  |  |  | $ | 11,768 |  |  | $ | 10,860 |
Amortization of acquired intangibles |  |  |  |  | 4,631 |  |  | 4,206 |
Total amortization of acquired intangibles |  |  |  |  | $ | 16,399 |  |  | $ | 15,066 |
Estimated amortization expense | As of April 3, 2021, the estimated amortization expense for acquired intangible assets with definite lives was as follows for the following five fiscal years and thereafter:
| (In thousands)
2021 - remaining period | $ | 49,424 |
2022 | 48,187 |
2023 | 32,657 |
2024 | 31,194 |
2025 | 20,645 |
Thereafter | 82,564 |
Total estimated amortization expense | $ | 264,671 |

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