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SHARE-BASED PAYMENTS - Stock Option Plan (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
May 27, 2018
May 28, 2017
May 29, 2016
Feb. 25, 2018
Nov. 26, 2017
Aug. 27, 2017
Feb. 26, 2017
Nov. 27, 2016
Aug. 28, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Options granted (in shares) 0 1,100,000 1,600,000            
Total intrinsic value of options exercised $ 15.8                
Closing market price of common stock (in dollars per share) $ 37.41                
Unrecognized compensation expense, net of estimated forfeitures, related to stock options $ 2.3                
Cash received from option exercises 25.1 $ 84.4 $ 228.7            
Actual tax benefit realized for tax deductions from option exercises 5.3 19.5 57.3            
Subsidiary                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Compensation expense $ 0.4 $ 0.9 $ 1.0            
Minimum                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Closing market price of common stock (in dollars per share) $ 35.34 $ 37.29   $ 35.47 $ 32.43 $ 33.07 $ 36.47 $ 34.30 $ 45.70
Maximum                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Closing market price of common stock (in dollars per share) $ 38.29 41.50   $ 38.50 $ 35.87 $ 39.95 $ 41.16 $ 48.68 $ 48.39
Options                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Award vesting period 3 years                
Weighted average grant date value (in dollars per share)   $ 6.12 $ 5.08            
Total intrinsic value of options exercised   $ 29.8 $ 165.6            
Compensation expense $ 4.2 6.2 9.4            
Tax benefit $ 1.4 2.4 3.6            
Weighted average period for recognition 10 months 24 days                
Options | Minimum                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Expiration period of options 7 years                
Options | Maximum                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Expiration period of options 10 years                
Discontinued operations | Options                  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                  
Compensation expense   $ 0.2 $ 0.8