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Income Taxes (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Jul. 28, 2019
Oct. 31, 2021
Oct. 25, 2020
Oct. 27, 2019
Income Tax Examination [Line Items]        
GILTI benefit reversed $ 96      
Tax holiday benefit   $ 370 $ 215  
Tax holiday benefit per diluted share (in dollars per share)   $ 0.40 $ 0.23  
Unrecognized tax benefits, decrease resulting from settlements with taxing authorities   $ 0 $ 446 $ 1
Increases in tax positions for prior years   23 91 441
Income tax penalties and interest expense (benefit)   14 24 24
Unrecognized tax benefits that would impact effective tax rate   442 410 758
Noncurrent Liabilities        
Income Tax Examination [Line Items]        
Interest and penalties related to uncertain tax positions   88 74 $ 50
Research and development tax credit carryforwards | State and Local Jurisdiction        
Income Tax Examination [Line Items]        
Tax credit carryforwards   369    
Carried over until exhausted | State and Local Jurisdiction        
Income Tax Examination [Line Items]        
Tax credit carryforwards   345    
Carried over the next fifteen years | State and Local Jurisdiction        
Income Tax Examination [Line Items]        
Tax credit carryforwards   $ 20    
Tax credit carryforward, term   15 years    
SINGAPORE        
Income Tax Examination [Line Items]        
Foreign statutory income tax rate   17.00%    
Income tax expense recognized from settled tax audits     26  
SINGAPORE | Foreign Tax Authority        
Income Tax Examination [Line Items]        
Income tax paid or accrued     72  
Unrecognized tax benefits, decrease resulting from settlements with taxing authorities     $ 374