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Debt (Narrative) (Details)
€ in Millions, $ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Mar. 31, 2017
EUR (€)
Feb. 28, 2017
USD ($)
Jan. 31, 2017
USD ($)
Jan. 31, 2016
EUR (€)
Jan. 31, 2016
USD ($)
Apr. 30, 2015
EUR (€)
Mar. 31, 2015
USD ($)
Feb. 26, 2017
USD ($)
May 28, 2017
USD ($)
May 29, 2016
USD ($)
May 31, 2015
USD ($)
Debt Instrument [Line Items]                      
Issuance of long-term debt                 $ 1,072.1 $ 542.5 $ 2,253.2
Repayment of long-term debt                 1,000.0 $ 1,000.4 $ 1,145.8
Pre-tax hedge gain (loss) in AOCI                 (23.0)    
Interest Rate Cash Flow Hedge Gain (Loss) to be Reclassified During Next 12 Months, Net                 (6.7)    
Long-term Debt and Capital Lease Obligations, Repayments of Principal in Next Twelve Months                 604.7    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Two                 1,585.9    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Three                 1,062.5    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Four                 559.4    
Long-term Debt and Capital Lease Obligations, Maturities, Repayments of Principal in Year Five                 $ 1,001.1    
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]                      
Maturity date                 Feb. 15, 2017    
Debt Instrument, Interest Rate, Stated Percentage   5.70%             5.70%    
Repayment of long-term debt   $ 1,000.0                  
3.2% notes due February 10, 2027 [Member]                      
Debt Instrument [Line Items]                      
Issuance of long-term debt     $ 750.0         $ 750.0      
Maturity date                 Feb. 10, 2027    
Debt Instrument, Interest Rate, Stated Percentage                 3.20%    
Pre-tax hedge gain (loss) in AOCI                 $ 16.6    
Euro-denominated floating-rate notes due January 15, 2020 [Member]                      
Debt Instrument [Line Items]                      
Issuance of long-term debt | €       € 500.0              
Maturity date                 Jan. 15, 2020    
0.875% Notes Due January 29, 2016 [Member]                      
Debt Instrument [Line Items]                      
Debt Instrument, Interest Rate, Stated Percentage       0.875% 0.875%            
Repayment of long-term debt         $ 250.0            
Floating-rate notes due January 28, 2016 [Member]                      
Debt Instrument [Line Items]                      
Repayment of long-term debt         $ 750.0            
Euro-denominated 1.0% notes due April 27, 2023 [Member]                      
Debt Instrument [Line Items]                      
Issuance of long-term debt | €           € 500.0          
Maturity date                 Apr. 27, 2023    
Debt Instrument, Interest Rate, Stated Percentage                 1.00%    
Pre-tax hedge gain (loss) in AOCI                 $ (1.4)    
Euro-denominated 1.5% notes due April 27, 2027 [Member]                      
Debt Instrument [Line Items]                      
Issuance of long-term debt | €           € 400.0          
Maturity date                 Apr. 27, 2027    
Debt Instrument, Interest Rate, Stated Percentage                 1.50%    
Pre-tax hedge gain (loss) in AOCI                 $ (3.2)    
5.2% Notes Due March 17, 2015 [Member]                      
Debt Instrument [Line Items]                      
Debt Instrument, Interest Rate, Stated Percentage             5.20%        
Repayment of long-term debt             $ 750.0        
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.