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Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands | Dec. 28, 2019 | Dec. 29, 2018
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Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | $ 517,137 | $ 487,644
Accumulated amortization | (364,262) | (333,687)
Acquired intangibles, net | 152,875 | 153,957
In-process technology | 19,500 | 71,500
Intangible Assets, Gross (Excluding Goodwill) | 536,637 | 559,144
Intangible Assets, Net (Excluding Goodwill) | 172,375 | 225,457
Existing technology [Member] |  |
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | 363,142 | 330,500
Accumulated amortization | (245,902) | (225,383)
Acquired intangibles, net | 117,240 | 105,117
Agreements and relationships [Member] |  |
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | 146,395 | 146,426
Accumulated amortization | (112,565) | (100,211)
Acquired intangibles, net | 33,830 | 46,215
Tradenames, trademarks and patents [Member] |  |
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | 7,600 | 10,718
Accumulated amortization | (5,795) | (8,093)
Acquired intangibles, net | $ 1,805 | $ 2,625

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