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Stock-Based Compensation and Shareholders' Equity - Textual (Details) - USD ($)
12 Months Ended
Aug. 21, 2018
Nov. 02, 2019
Nov. 03, 2018
Oct. 28, 2017
Oct. 28, 2006
Aug. 31, 2004
Stock-Based Compensation (Textuals) [Abstract]            
Shares reserved for future issuance   21,200,000        
Units/Awards granted (USD per share)   $ 98.82        
Minimum maturity of traded options used to estimate volatility   1 year        
Annual forfeiture rate   5.00%        
Amount related to stock based compensation   $ 6,800,000 $ 7,100,000      
Total intrinsic value of options exercised   132,300,000 123,800,000 $ 144,600,000    
Proceeds (cash) received from exercise of options   116,500,000 99,000,000.0 133,300,000    
Total unrecognized compensation cost related to unvested share-based awards, before tax consideration   $ 318,300,000        
Weighted-average period for recognition of compensation cost in years   1 year 4 months 24 days        
Total grant-date fair value of vested stock options   $ 150,600,000 $ 136,100,000 $ 114,800,000    
Preferred stock, shares authorized (in shares)   471,934 471,934      
Preferred stock, par value (USD per share)   $ 1.00 $ 1.00      
Preferred stock, shares outstanding (in shares)   0 0      
Preferred stock, shares issued (in share)   0        
Share-based Payment Arrangement, Option [Member]            
Stock-Based Compensation (Textuals) [Abstract]            
Vesting period (years)   4 years 5 years      
Percentage of awards exercisable in annual installments on each of the first, second, third, fourth and fifth anniversaries   25.00% 20.00%      
Maximum contractual term of all option     ten years      
Restricted Stock Units (RSUs) [Member]            
Stock-Based Compensation (Textuals) [Abstract]            
Vesting period (years)   4 years        
Percentage of awards exercisable in annual installments on each of the first, second, third, fourth and fifth anniversaries   25.00%        
2006 Stock Incentive Plan [Member]            
Stock-Based Compensation (Textuals) [Abstract]            
Maximum common stock granted (in shares)         34,000,000  
Total number of common shares available for future grant Units/Awards granted (in shares)   10,200,000        
2010 Stock Plan Incentive [Member]            
Stock-Based Compensation (Textuals) [Abstract]            
Total number of common shares available for future grant Units/Awards granted (in shares)   1,400,000        
Common Stock Repurchase Program [Member]            
Stock-Based Compensation (Textuals) [Abstract]            
Amount authorized to repurchase company common stock           $ 8,200,000,000
Number of additional shares authorized, value 2,000,000,000.0          
Repurchased common stock, shares (in shares)   154,400,000        
Repurchased common stock, value   $ 6,100,000,000        
Repurchase of common stock   $ 2,100,000,000        
Linear Technology Corporation [Member]            
Stock-Based Compensation (Textuals) [Abstract]            
Number of share issued (shares)   2,800,000        
Units/Awards granted (USD per share)   $ 82.20        
Accounting Standards Update 2016-09 [Member]            
Stock-Based Compensation (Textuals) [Abstract]            
Adjustments to additional paid in capital, income tax benefit from share-based compensation   $ 28,700,000 $ 26,200,000