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Goodwill and Other Intangible Assets (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 28, 2019 | Dec. 29, 2018 | Dec. 30, 2017
Goodwill |  |  |
Goodwill, Beginning Balance | $ 397,344 | $ 288,227 |
Additions due to business combinations | 1,058 | 109,117 |
Goodwill, Ending Balance | $ 398,402 | $ 397,344 | $ 288,227
Other Intangible Assets |  |  |
Weighted-Average Amortization Period (Years) | 8 years | 8 years |
Intangible assets subject to amortization, Gross Amount | $ 272,800 | $ 296,465 |
Intangible assets subject to amortization, Accumulated Amortization | (138,521) | (125,633) |
Removal of fully amortized intangible assets | 26,600 |  |
Amortization expense related to intangible assets | 39,500 | $ 38,000 | $ 27,100
Estimated aggregate amortization expense for intangible assets subject to amortization for each of the five succeeding fiscal years |  |  |
2020 | 38,100 |  |
2021 | 33,266 |  |
2022 | 23,801 |  |
2023 | 18,029 |  |
2024 | 15,569 |  |
Qulsar |  |  |
Other Intangible Assets |  |  |
Gross intangible assets acquired | $ 3,000 |  |
Core and developed technology |  |  |
Other Intangible Assets |  |  |
Weighted-Average Amortization Period (Years) | 8 years | 8 years |
Intangible assets subject to amortization, Gross Amount | $ 219,695 | $ 237,265 |
Intangible assets subject to amortization, Accumulated Amortization | $ (111,634) | $ (102,116) |
Customer relationships |  |  |
Other Intangible Assets |  |  |
Weighted-Average Amortization Period (Years) | 6 years | 6 years |
Intangible assets subject to amortization, Gross Amount | $ 40,795 | $ 46,890 |
Intangible assets subject to amortization, Accumulated Amortization | $ (22,742) | $ (21,075) |
Trademarks |  |  |
Other Intangible Assets |  |  |
Weighted-Average Amortization Period (Years) | 7 years | 7 years |
Intangible assets subject to amortization, Gross Amount | $ 12,310 | $ 12,310 |
Intangible assets subject to amortization, Accumulated Amortization | $ (4,145) | $ (2,442) |

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