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Financial Instruments, Risk Management Activities, and Fair Values (Narrative) (Details)
€ in Millions, $ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Jan. 31, 2017
USD ($)
Feb. 26, 2017
USD ($)
Feb. 28, 2016
USD ($)
May 28, 2017
USD ($)
May 29, 2016
USD ($)
May 31, 2015
USD ($)
May 28, 2017
EUR (€)
May 28, 2017
USD ($)
Financial Instruments Owned At Fair Value [Abstract]                
Accounts receivable pledged as collateral               $ 19.6
Derivative [Line Items]                
Long-term debt, carrying value         $ 8,161.1     8,247.6
Issuance of long-term debt       $ 1,072.1 542.5 $ 2,253.2    
Gain (Loss) on Interest Rate Fair Value Hedge Ineffectiveness       $ 4.3   1.6    
Foreign Exchange Risk [Abstract]                
Maximum Length of Time, Foreign Currency Cash Flow Hedge       18 months        
Deferred Net Foreign Currency Transaction Gains (Losses) AfterTax Accumulated Other Comprehensive Income               (39.1)
Accounts payable to suppliers who utilize third party service               639.0
Amounts Recorded in Accumulated Other Comprehensive Loss [Abstract]                
Net Pre-tax Gains (Losses) in AOCI Expected to be Reclassified into Net Earnings within the Next 12 Months               11.7
Credit Risk Related Contingent Features [Abstract]                
Aggregate fair value of derivative instruments in liability position               1.0
Additional collateral required to be posted under specific circumstances               1.0
Counterparty Credit Risk [Abstract]                
Concentration Risk Credit Risk Financial Instrument Maximum Exposure       $ 5.8        
Maximum [Member]                
Derivative [Line Items]                
Gain (Loss) on Interest Rate Cash Flow Hedge Ineffectiveness       1.0 (1.0) (1.0)    
Gain (Loss) on Interest Rate Fair Value Hedge Ineffectiveness         1.0      
Foreign Exchange Risk [Abstract]                
Gain (Loss) on Foreign Currency Cash Flow Hedge Ineffectiveness       $ 1.0 (1.0) 1.0    
Venezuela [Member]                
Foreign Exchange Risk [Abstract]                
Foreign exchange gain (loss) from remeasurement           $ (8.0)    
3.2% notes due February 10, 2027 [Member]                
Derivative [Line Items]                
Long-term debt, carrying value         0.0     $ 750.0
Derivative, Maturity Date       Feb. 10, 2027        
Debt Instrument, Interest Rate, Stated Percentage             3.20% 3.20%
Debt Instrument Term       10 years        
Debt Instrument, Maturity Date       Feb. 10, 2027        
Issuance of long-term debt $ 750.0 $ 750.0            
1.4% notes due October 20, 2017 [Member]                
Derivative [Line Items]                
Long-term debt, carrying value         500.0     $ 500.0
Debt Instrument, Interest Rate, Stated Percentage           1.40% 1.40% 1.40%
Debt Instrument, Maturity Date       Oct. 20, 2017   Oct. 20, 2017    
Face Amount           $ 500.0    
2.2% notes due October 21, 2019 [Member]                
Derivative [Line Items]                
Long-term debt, carrying value         $ 500.0     $ 500.0
Debt Instrument, Interest Rate, Stated Percentage           2.20% 2.20% 2.20%
Debt Instrument, Maturity Date       Oct. 21, 2019   Oct. 21, 2019    
Face Amount           $ 500.0    
Euro-Denominated Bonds Used for Hedging [Member]                
Derivative [Line Items]                
Long-term debt, carrying value | €             € 2,200.0  
Commodity Contracts [Member]                
Derivative [Line Items]                
Derivative, Notional Amount               $ 410.3
Commodity Price Risk [Abstract]                
Derivative Contacts Inputs, Average Period of Utilization       12 months        
Agricultural Related Derivative [Member]                
Derivative [Line Items]                
Derivative, Notional Amount               289.6
Energy Related Derivative [Member]                
Derivative [Line Items]                
Derivative, Notional Amount               120.7
Treasury Lock [Member]                
Derivative [Line Items]                
Pre-tax amount of cash-settled interest rate hedge gain (loss)     $ 17.2          
Treasury Lock One [Member]                
Derivative [Line Items]                
Derivative, Notional Amount   $ 100.0            
Derivative, Average Fixed Interest Rate   2.00%            
Derivative, Maturity Date   Feb. 15, 2017            
Treasury Lock Two [Member]                
Derivative [Line Items]                
Derivative, Notional Amount   $ 400.0            
Derivative, Average Fixed Interest Rate   2.00%            
Derivative, Maturity Date   Feb. 15, 2017            
Foreign Exchange Contracts [Member]                
Derivative [Line Items]                
Derivative, Notional Amount               850.2
Equity Swap [Member]                
Derivative [Line Items]                
Derivative, Notional Amount               138.9
Derivative, Maturity Date       May 27, 2018        
Level 2 [Member]                
Derivative [Line Items]                
Long-term debt, fair value               $ 8,547.0