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Income Taxes (Details Textual) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Apr. 29, 2018
Apr. 30, 2017
Apr. 29, 2018
Apr. 30, 2017
Oct. 28, 2018
Income Tax Contingency [Line Items]          
Effective income tax rate provision (as percent) 12.80% 9.30% 48.60% 9.10%  
Provisional tax expense for Tax Cuts and Jobs Act of 2017 $ 71   $ 1,100    
Excess tax benefit from share-based compensation     53    
Decrease in unrecognized tax benefits is reasonably possible $ 44   $ 44    
Scenario, Forecast          
Income Tax Contingency [Line Items]          
Effective income tax rate         23.40%