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Stock-Based Compensation (Tables) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 9 Months Ended
Jul. 29, 2017
Jul. 30, 2016
Jul. 29, 2017
Jul. 30, 2016
Stock Options        
Options granted (in shares) 98 23 1,474 1,738
Weighted-average exercise price (in dollars per share) $ 79.85 $ 56.20 $ 82.97 $ 54.92
Weighted-average grant-date fair value (in dollars per share) $ 15.75 $ 10.86 $ 17.12 $ 12.77
Assumptions:        
Weighted-average expected volatility (as percent) 26.20% 29.10% 26.40% 34.20%
Weighted-average expected term (in years) 5 years 5 years 51 days 5 years 51 days 5 years 51 days
Weighted-average risk-free interest rate (as percent) 1.80% 1.20% 2.10% 1.40%
Weighted-average expected dividend yield (as percent) 2.30% 3.00% 2.20% 3.10%
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]        
Options outstanding, at beginning of period (in shares)     11,704  
Options granted (in shares) 98 23 1,474 1,738
Options exercised (in shares)     (2,724)  
Options forfeited (in shares)     (335)  
Options expired (in shares)     (7)  
Options outstanding, at end of period (in shares) 10,112   10,112  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]        
Options outstanding, Weighted-Average Exercise Price Per Share, at beginning of period     $ 44.43  
Options granted, Weighted-Average Exercise Price Per Share     82.97  
Options exercised, Weighted-Average Exercise Price Per Share     38.81  
Options forfeited, Weighted-Average Exercise Price Per Share     54.71  
Options expired, Weighted-Average Exercise Price Per Share     34.10  
Options outstanding, Weighted-Average Exercise Price Per Share, at end of period $ 51.22   $ 51.22  
Options outstanding, Weighted-Average Remaining Contractual Term in Years 6 years 110 days      
Options exercisable, Weighted-Average Remaining Contractual Term in Years 4 years 256 days      
Options vested or expected to vest, Weighted-Average Remaining Contractual Term in Years 6 years 73 days      
Options outstanding, Aggregate Intrinsic Value $ 288,944   $ 288,944  
Options exercisable, Aggregate Intrinsic Value 211,596   211,596  
Options vested or expected to vest, Aggregate Intrinsic Value $ 283,617   $ 283,617  
Linear Technology Corporation        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]        
Units/Awards granted, Weighted Average Grant Date Fair Value (in dollars per share)     $ 82.20  
Number of shares issued (in shares)     2,800  
Stock options        
Stock Options        
Options granted (in shares) 98      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]        
Options outstanding, at beginning of period (in shares) 10,530      
Options granted (in shares) 98      
Options exercised (in shares) (456)      
Options forfeited (in shares) (59)      
Options expired (in shares) (1)      
Options outstanding, at end of period (in shares) 10,112   10,112  
Options exercisable (in shares) 5,602   5,602  
Options vested or expected to vest (in shares) 9,725   9,725  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]        
Options outstanding, Weighted-Average Exercise Price Per Share, at beginning of period $ 50.49      
Options granted, Weighted-Average Exercise Price Per Share 79.85      
Options exercised, Weighted-Average Exercise Price Per Share 39.42      
Options forfeited, Weighted-Average Exercise Price Per Share 59.68      
Options expired, Weighted-Average Exercise Price Per Share 48.94      
Options outstanding, Weighted-Average Exercise Price Per Share, at end of period 51.22   $ 51.22  
Options exercisable, Weighted-Average Exercise Price Per Share 41.47   41.47  
Options vested or expected to vest, Weighted-Average Exercise Price Per Share $ 50.59   $ 50.59  
Restricted stock units (RSUs)        
Summary of the Company's restricted stock unit award activity        
Restricted stock units/awards outstanding, at beginning of period (in shares) 5,313   2,690  
Units/Awards granted (in shares) 644   4,307  
Restrictions lapsed (in shares) (311)   (1,241)  
Forfeited (in shares) (55)   (165)  
Restricted stock units/awards outstanding, at end of period (in shares) 5,591   5,591  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]        
Restricted stock units/awards outstanding, Weighted-Average Grant Date Fair Value Per Share, at beginning of period (in dollars per share) $ 70.59   $ 50.11  
Units/Awards granted, Weighted Average Grant Date Fair Value (in dollars per share) 75.59   79.55  
Restrictions lapsed, Weighted-Average Grant Date Fair Value Per Share (in dollars per share) 79.14   58.44  
Forfeited, Weighted-Average Grant Date Fair Value Per Share (in dollars per share) 70.94   58.71  
Restricted stock units/awards outstanding, Weighted-Average Grant Date Fair Value Per Share, at end of period (in dollars per share) $ 70.69   $ 70.69