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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Jan. 26, 2019
Jan. 27, 2018
Jan. 26, 2019
Jan. 27, 2018
Apr. 28, 2018
Income Taxes          
Effective tax rate (as a percent) 26.90% 62.00% 24.60% 43.90%  
Statutory tax rate (as a percent)     21.00%   30.40%
Effective tax rate absent discrete adjustments (as a percent) 26.70%   25.60%    
Estimated effects of the transition tax     $ 0.2