Goodwill and Acquisition-Related Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended
Jan. 02, 2021	Mar. 28, 2020
Gross and net amounts of goodwill and of acquisition-related intangibles
Goodwill	$ 620,697	$ 619,196
Total acquisition-related intangibles, gross	372,598	361,882
Less accumulated amortization	(190,387)	(161,538)
Acquisition-related intangibles, net	182,211	200,344
Total	125,219
Core Technology [Member]
Gross and net amounts of goodwill and of acquisition-related intangibles
Total finite-lived acquisition-related intangibles, gross	219,847	209,131
Less accumulated amortization	(125,275)	(105,007)
Total	$ 94,572	104,124
Weighted-Average Amortization Life	3 years 7 months 6 days
Other Intangibles [Member]
Gross and net amounts of goodwill and of acquisition-related intangibles
Total finite-lived acquisition-related intangibles, gross	$ 95,759	95,759
Less accumulated amortization	(65,112)	(56,531)
Total	$ 30,647	39,228
Weighted-Average Amortization Life	3 years 7 months 6 days
In-process research and development
Gross and net amounts of goodwill and of acquisition-related intangibles
In-process research and development	$ 56,992	$ 56,992

Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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