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Goodwill and Intangible Assets - Changes in Goodwill (Details)
$ in Thousands
6 Months Ended
Apr. 29, 2017
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of period $ 1,679,116
Goodwill related to acquisitions 4,884
Foreign currency translation adjustment 1,168
Balance at end of period 12,269,501
Linear Technology Corporation [Member]  
Goodwill [Roll Forward]  
Goodwill related to acquisitions $ 10,584,333