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Stock-Based Compensation (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Oct. 26, 2018
Oct. 27, 2017
Oct. 26, 2018
Oct. 27, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense $ 104 $ 106 $ 168 $ 198
Income tax benefits (21) (32) (32) (57)
Total stock-based compensation expense, net of tax 83 74 136 141
Cost of products sold        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense 12 14 18 24
Research and development expense        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense 13 12 21 21
Selling, general, and administrative expense        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense 79 80 129 153
Stock options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense 33 42 51 77
Restricted stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense 65 59 101 107
Employee stock purchase plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense $ 6 $ 5 $ 16 $ 14