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Stock-Based Compensation (Details) - USD ($)
$ in Millions
3 Months Ended
Jul. 26, 2019
Jul. 27, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense $ 61 $ 64
Income tax benefits (10) (11)
Total stock-based compensation expense, net of tax 51 53
Cost of products sold    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 6 6
Research and development expense    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 7 8
Selling, general, and administrative expense    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 48 50
Stock options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 9 18
Restricted stock    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense 42 36
Employee stock purchase plan    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total stock-based compensation expense $ 10 $ 10