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SHARE-BASED PAYMENTS (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Nov. 26, 2017
Nov. 27, 2016
Nov. 26, 2017
Nov. 27, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense (income) $ 12.3 $ 17.9 $ 18.7 $ 32.7
Stock options | Subsidiary        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total stock-based compensation expense (income) $ 0.1 $ 0.3 $ 0.4 $ 0.2
Restricted stock units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock granted, shares (in shares)     0.8  
Weighted average grant date price (in dollars per share)     $ 34.09  
Performance shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock granted, shares (in shares)     0.5  
Weighted average grant date price (in dollars per share)     $ 33.82  
Performance shares | Fiscal 2018        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period     3 years  
Performance shares | Fiscal 2019        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period     3 years  
Period of measurement for diluted EPS CAGR     2 years  
Performance shares | Fiscal 2020        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period     3 years  
Performance shares | 2016 EBITDA | Fiscal 2018        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)     33.33%  
Performance shares | 2017 EBITDA | Fiscal 2018        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)     33.33%  
Performance shares | 2017 EBITDA | Fiscal 2019        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)     33.33%  
Performance shares | 2018 EBITDA | Fiscal 2018        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)     33.33%  
Performance shares | 2019 diluted EPS CAGR | Fiscal 2019        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)     66.66%