Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands	Dec. 28, 2019	Dec. 29, 2018
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