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Acquisitions (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended
Dec. 05, 2016
Jul. 26, 2016
Jan. 28, 2017
The Notes [Member] | Senior Notes [Member]      
Business Acquisition [Line Items]      
Net proceeds of notes offering $ 2,100.0    
Linear Technology Corporation [Member]      
Business Acquisition [Line Items]      
Common stock price (in dollars per share)   $ 46  
Conversion ratio   23.21%  
Consideration transferred     $ 14,800.0
Number of shares issued (in shares)     58.0
Expected long-term indebtedness related to acquisition   $ 9,000.0  
Termination fee     $ 700.0
Transaction-related costs     $ 8.0