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Stockholders' Equity - Stock-Based Compensation Expense (Detail) - USD ($)
$ in Millions
3 Months Ended
Jul. 27, 2018
Jul. 28, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense $ 40 $ 48
Income tax benefit for stock-based compensation expense 5 9
Cost of Product Revenues    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 1 1
Cost of Hardware Maintenance and Other Services Revenues    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 3 3
Sales and Marketing    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 17 21
Research and Development    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 12 15
General and Administrative    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense $ 7 $ 8