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Goodwill and Intangible Assets, Net (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Apr. 03, 2016
Mar. 29, 2015
Apr. 03, 2016
Mar. 29, 2015
Apr. 03, 2016
Sep. 27, 2015
Goodwill and Intangible Assets Disclosure [Line Items]            
Amortizable intangible assets         $ 781,700 $ 357,800
Goodwill $ 2,464,600   $ 1,139,300   2,464,600 1,139,300
Goodwill [Roll Forward]            
Balance as of September 27, 2015     1,139,300      
Additions from acquisition     1,430,800      
Reclassifications to assets held for sale     (103,900)      
Adjustments from prior acquisition     (1,600)      
Balance as of April 3, 2016 2,464,600   2,464,600      
Amortization of intangible assets 45,300 $ 22,700 70,685 $ 46,273    
Completed technology            
Goodwill and Intangible Assets Disclosure [Line Items]            
Amortizable intangible assets         636,300 238,000
Goodwill [Roll Forward]            
Amortization of intangible assets 30,300 11,400 44,557 22,864    
Customer relationships            
Goodwill and Intangible Assets Disclosure [Line Items]            
Amortizable intangible assets         136,200 119,100
Goodwill [Roll Forward]            
Amortization of intangible assets 12,000 11,200 22,956 22,433    
Backlog, trade name and other            
Goodwill and Intangible Assets Disclosure [Line Items]            
Amortizable intangible assets         9,200 700
Goodwill [Roll Forward]            
Amortization of intangible assets $ 3,000 $ 100 $ 3,172 $ 976    
In-process research and development            
Goodwill and Intangible Assets Disclosure [Line Items]            
Non-amortizable intangible assets         $ 241,000 $ 0