Goodwill and Acquired Intangibles (Details 1) - USD ($) $ in Thousands	Dec. 29, 2018	Dec. 30, 2017
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	$ 487,644	$ 504,791
Accumulated amortization	(333,687)	(297,456)
Acquired intangibles, net	153,957	207,335
In-process technology	71,500	71,500
Intangible Assets, Gross (Excluding Goodwill)	559,144	576,291
Intangible Assets, Net (Excluding Goodwill)	225,457	278,835
Existing technology [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	330,500	342,810
Accumulated amortization	(225,383)	(199,529)
Acquired intangibles, net	105,117	143,281
Agreements and relationships [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	146,426	151,063
Accumulated amortization	(100,211)	(90,675)
Acquired intangibles, net	46,215	60,388
Tradenames, trademarks and patents [Member]
Acquired intangibles with finite lives, excluding intangibles fully amortized at end of prior fiscal year
Gross carrying amount	10,718	10,918
Accumulated amortization	(8,093)	(7,252)
Acquired intangibles, net	$ 2,625	$ 3,666