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Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands | Jul. 02, 2022 | Jan. 01, 2022
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Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | $ 600,123 | $ 621,204
Accumulated amortization | (391,142) | (387,939)
Total estimated amortization expense | 208,981 | 233,265
In-process technology | 6,800 |
Intangible assets, gross carrying amount (excluding goodwill) | 606,923 |
Acquired intangibles, net | 215,781 | 233,265
Existing Technology [Member] |  |
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | 397,401 | 405,481
Accumulated amortization | (259,372) | (254,599)
Total estimated amortization expense | 138,029 | 150,882
Agreements and Relationships [Member] |  |
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | 193,674 | 205,057
Accumulated amortization | (129,517) | (130,187)
Total estimated amortization expense | 64,157 | 74,870
Tradenames Trademarks And Patents [Member] |  |
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year |  |
Gross carrying amount | 9,048 | 10,666
Accumulated amortization | (2,253) | (3,153)
Total estimated amortization expense | $ 6,795 | $ 7,513

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