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Goodwill and Acquisition-Related Intangibles (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 28, 2019
Mar. 30, 2019
Gross and net amounts of goodwill and of acquisition-related intangibles    
Goodwill $ 619,196 $ 340,718
Total acquisition-related intangibles, gross 361,881 210,976
Less accumulated amortization (151,440) (130,253)
Acquisition-related intangibles, net 210,441 80,723
Total 153,450  
Core Technology [Member]    
Gross and net amounts of goodwill and of acquisition-related intangibles    
Total acquisition-related intangibles, gross 209,131 107,250
Less accumulated amortization (98,310) (82,611)
Total $ 110,821 24,639
Weighted-Average Amortization Life 4 years 2 months 12 days  
Other Intangibles [Member]    
Gross and net amounts of goodwill and of acquisition-related intangibles    
Total acquisition-related intangibles, gross $ 95,759 51,016
Less accumulated amortization (53,130) (47,642)
Total $ 42,629 3,374
Weighted-Average Amortization Life 4 years 1 month 6 days  
In-process research and development    
Gross and net amounts of goodwill and of acquisition-related intangibles    
In-process research and development $ 56,991 $ 52,710