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Goodwill and Acquired Intangibles (Tables) | 12 Months Ended
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Jan. 02, 2021
Goodwill and Intangible Assets Disclosure [Abstract] |
Changes in the carrying amount of goodwill | The changes in the carrying amount of goodwill during fiscal 2020 and 2019 were as follows:
| Gross Carrying Amount
| (In thousands)
Balance as of December 29, 2018 | $ | 662,272 |
Effect of foreign currency translation | (416) |
Balance as of December 28, 2019 | 661,856 |
Goodwill resulting from acquisitions | 120,564 |
Effect of foreign currency translation | (333) |
Balance as of January 2, 2021 | $ | 782,087 |
Acquired intangibles with finite lives (excluding goodwill), excluding intangibles fully amortized at end of prior fiscal year | 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 |
Acquired intangibles as of December 28, 2019 were as follows, excluding intangibles that were fully amortized as of December 29, 2018:
| Gross Carrying Amount |  | Accumulated Amortization |  | Acquired Intangibles, Net
| (In thousands)
Existing technology | $ | 363,142 |  |  | $ | (245,902) |  |  | $ | 117,240 |
Agreements and relationships | 146,395 |  |  | (112,565) |  |  | 33,830 |
Tradenames, trademarks and patents | 7,600 |  |  | (5,795) |  |  | 1,805 |
Total acquired intangibles with definite lives | 517,137 |  |  | (364,262) |  |  | 152,875 |
In-process technology | 19,500 |  |  | — |  |  | 19,500 |
Total acquired intangibles | $ | 536,637 |  |  | $ | (364,262) |  |  | $ | 172,375 |
Amortization of acquired intangibles | Amortization expense for fiscal 2020, 2019 and 2018, by consolidated income statement caption, was as follows:
| 2020 |  | 2019 |  | 2018
| (In thousands)
Cost of product and maintenance | $ | 46,184 |  |  | $ | 40,951 |  |  | $ | 39,247 |
Amortization of acquired intangibles | 18,009 |  |  | 12,128 |  |  | 14,086 |
Total amortization of acquired intangibles | $ | 64,193 |  |  | $ | 53,079 |  |  | $ | 53,333 |
Estimated amortization expense | As of January 2, 2021, the estimated amortization expense for intangible assets with definite lives was as follows for the following five fiscal years and thereafter:
| (In thousands)
2021 | $ | 61,706 |
2022 | 43,401 |
2023 | 27,870 |
2024 | 26,408 |
2025 | 15,767 |
Thereafter | 35,438 |
Total estimated amortization expense | $ | 210,590 |

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