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Stockholders' Equity (Equity Incentive Award Plans) (Details) - $ / shares
12 Months Ended
Nov. 04, 2018
Jul. 31, 2009
Market Based RSUs [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Award Requisite Service Period 4 years  
Market Based RSUs [Member] | Minimum [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award Award Payout Percentage 0.00%  
Market Based RSUs [Member] | Maximum [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award Award Payout Percentage 450.00%  
2009 Equity Incentive Award Plan [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Number of Shares Authorized   20,000,000
Stock-Based Payment Award, Number of Shares Authorized, Annual Increase 6,000,000  
Stock-Based Payment Award, Number of Shares Authorized, Annual Increase Rate 3.00%  
Stock-Based Payment Award, Maximum Number of Shares Authorized   90,000,000
Stock-Based Payment Award, Number of Shares Available for Grant 24,000,000  
2009 Equity Incentive Award Plan [Member] | Stock Compensation Plan [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Expiration Period 7 years  
2009 Equity Incentive Award Plan [Member] | Stock Compensation Plan, Nonemployees [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Expiration Period 5 years  
2009 Equity Incentive Award Plan [Member] | Employee Stock Option [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Award Vesting Period 4 years  
2009 Equity Incentive Award Plan [Member] | Restricted Stock Units (RSUs) [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Award Vesting Period 4 years  
Stock-Based Payment Award, RSU Exercise Price $ 0  
2009 Equity Incentive Award Plan Prior to March 2011 [Member] | Stock Compensation Plan [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Expiration Period 10 years  
LSI 2003 Equity Incentive Plan [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Award Vesting Period 4 years  
Stock-Based Payment Award, Number of Shares Available for Grant 3,000,000  
LSI 2003 Equity Incentive Plan [Member] | Employee Stock Option [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Expiration Period 7 years  
Stock-Based Payment Award, Maximum Yearly Grant 4,000,000  
LSI 2003 Equity Incentive Plan [Member] | Restricted Stock Units (RSUs) [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Maximum Yearly Grant 1,000,000  
BRCM 2012 Stock Incentive Plan [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Stock-Based Payment Award, Number of Shares Authorized, Annual Increase 12,000,000  
Stock-Based Payment Award, Award Vesting Period 4 years  
Stock-Based Payment Award, Number of Shares Available for Grant 90,000,000  
Stock-Based Payment Award, Maximum Yearly Grant 4,000,000  
ESPP Program [Member]    
Stock-Based Compensation Arrangement by Stock-Based Payment Award [Line Items]    
Purchase Period for ESPP 6 months  
Stock-Based Payment Award, Purchase Price of Common Stock, Percent 85.00%