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Stock Plans (Narrative) (Details) - USD ($)
shares in Millions, $ in Millions
12 Months Ended
May 27, 2018
May 28, 2017
May 29, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares available for grant under stock compensation plan 34.9    
Fair Value Assumptions Method Used We estimate the fair value of each option on the grant date using a Black-Scholes option-pricing model, which requires us to make predictive assumptions regarding future stock price volatility, employee exercise behavior, dividend yield, and the forfeiture rate. We estimate our future stock price volatility using the historical volatility over the expected term of the option, excluding time periods of volatility we believe a marketplace participant would exclude in estimating our stock price volatility. We also have considered, but did not use, implied volatility in our estimate, because trading activity in options on our stock, especially those with tenors of greater than 6 months, is insufficient to provide a reliable measure of expected volatility.    
Share-based Compensation, Allocation and Classification in Financial Statements [Abstract]      
Unrecognized compensation expense related to non-vested stock options and restricted stock units $ 95.7    
Unrecognized compensation expense on non-vested awards, weighted average period of recognition 1 year 8 months    
Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Minimum option pricing percentage of market price 100.00%    
Award vesting period 4 years    
Expiration period 10 years 1 month    
Compensation expense related to stock-based payments $ 15.5 $ 18.0 $ 14.8
2017 Stock Compensation Plan [Member] | Restricted Stock Units (RSUs) [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period 4 years    
Compensation expense related to stock-based payments $ 62.4 77.9 $ 76.8
Total grant-date fair value of restricted stock units that vested in period $ 93.0 $ 78.1  
2017 Stock Compensation Plan [Member] | Performance Share Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance period 3 years