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Debt (Narrative) (Details)
€ in Millions, $ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Apr. 30, 2018
USD ($)
Feb. 28, 2018
USD ($)
Oct. 31, 2017
USD ($)
Mar. 31, 2017
EUR (€)
Feb. 28, 2017
USD ($)
Jan. 31, 2017
USD ($)
May 27, 2018
USD ($)
Nov. 26, 2017
USD ($)
Feb. 26, 2017
USD ($)
May 27, 2018
USD ($)
May 28, 2017
USD ($)
May 29, 2016
USD ($)
Debt Instrument [Line Items]                        
Issuance of long-term debt                   $ 6,550.0 $ 1,072.1 $ 542.5
Repayment of long-term debt                   600.1 $ 1,000.0 $ 1,000.4
Pre-tax hedge gain (loss) in AOCI             $ (54.2)     (54.2)    
Interest Rate Cash Flow Hedge Gain (Loss) to be Reclassified During Next 12 Months, Net             (9.1)     (9.1)    
Long-term Debt and Capital Lease Obligations, Repayments of Principal in Next Twelve Months             1,600.1     1,600.1    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Two             1,082.9     1,082.9    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Three             2,039.9     2,039.9    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Four             1,232.9     1,232.9    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Five             1,082.6     $ 1,082.6    
Total fixed-rate notes issued April 2018 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt $ 4,800.0                      
4.2% notes due April 17, 2028 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 1,400.0           $ 1,400.0          
Fixed interest rate percentage             4.20%     4.20%    
Maturity date                   Apr. 17, 2028    
Pre-tax hedge gain (loss) in AOCI             $ (10.1)     $ (10.1)    
3.7% notes due October 17, 2023 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 850.0           $ 850.0          
Fixed interest rate percentage             3.70%     3.70%    
Maturity date                   Oct. 17, 2023    
Pre-tax hedge gain (loss) in AOCI             $ (1.8)     $ (1.8)    
4.0% notes due April 17, 2025 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 800.0           $ 800.0          
Fixed interest rate percentage             4.00%     4.00%    
Maturity date                   Apr. 17, 2025    
Pre-tax hedge gain (loss) in AOCI             $ (4.0)     $ (4.0)    
4.7% notes due April 17, 2048 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 650.0           $ 650.0          
Fixed interest rate percentage             4.70%     4.70%    
Maturity date                   Apr. 17, 2048    
Pre-tax hedge gain (loss) in AOCI             $ (14.2)     $ (14.2)    
3.2% notes due April 2021 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 600.0                      
Fixed interest rate percentage             3.20%     3.20%    
Maturity date                   Apr. 16, 2021    
4.55% notes due April 17, 2038 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 500.0           $ 500.0          
Fixed interest rate percentage             4.55%     4.55%    
Maturity date                   Apr. 17, 2038    
Pre-tax hedge gain (loss) in AOCI             $ (10.9)     $ (10.9)    
Total floating-rate notes issued April 2018 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 1,250.0                      
Floating-rate notes due April 16, 2021 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt 850.0                      
Maturity date                   Apr. 16, 2021    
Floating-rate notes due October 17, 2023 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt $ 400.0                      
Maturity date                   Oct. 17, 2023    
Medium-term Notes [Member]                        
Debt Instrument [Line Items]                        
Repayment of long-term debt   $ 113.8                    
Fixed interest rate percentage   6.39%                    
Maturity date   May 28, 2023                    
Face amount of debt repurchased   $ 100.0                    
Premium payment recorded as interest expense   $ 13.8                    
2.6% notes due October 12, 2022 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt     $ 500.0         $ 500.0        
Fixed interest rate percentage             2.60%     2.60%    
Maturity date                   Oct. 12, 2022    
Pre-tax hedge gain (loss) in AOCI             $ 3.2     $ 3.2    
1.4% notes due October 20, 2017 [Member]                        
Debt Instrument [Line Items]                        
Repayment of long-term debt     $ 500.0                  
Fixed interest rate percentage     1.40%               1.40%  
Maturity date                     Oct. 20, 2017  
Floating-Rate Notes Due March 2019 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt | €       € 300.0                
Maturity date                   Mar. 20, 2019    
5.7% notes due February 15, 2017 [Member]                        
Debt Instrument [Line Items]                        
Repayment of long-term debt         $ 1,000.0              
Fixed interest rate percentage         5.70%              
3.2% notes due February 10, 2027 [Member]                        
Debt Instrument [Line Items]                        
Issuance of long-term debt           $ 750.0     $ 750.0      
Fixed interest rate percentage             3.20%     3.20%    
Maturity date                   Feb. 10, 2027    
Pre-tax hedge gain (loss) in AOCI             $ 14.9     $ 14.9    
Long-term Debt Agreements Containing Restrictive Covenants [Member]                        
Debt Instrument [Line Items]                        
Covenant compliance                   As of fiscal year end, we were in compliance with all of these covenants.