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Financial Instruments and Risk Management (Narrative) (Details)
€ in Millions, $ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2019
EUR (€)
Sep. 30, 2019
USD ($)
Sep. 30, 2019
EUR (€)
Dec. 31, 2018
EUR (€)
Derivative [Line Items]        
Long-term Debt, Gross | $   $ 13,064.0    
Pre-tax net losses on cash flow hedges to be reclassified from AOCE into earnings in next twelve months | $   (35.0)    
Fair Value, Measured on Recurring Basis, Gain (Loss) Included in Earnings | $   28.9    
Business Combination Contingent Consideration Liability Payments | $   (79.0)    
Prepaid expenses and other current assets        
Derivative [Line Items]        
Fair Value, Measured on Recurring Basis, Gain (Loss) Included in Earnings | $   (3.5)    
Business Combination Contingent Consideration Liability Payments | $   $ (79.0)    
Senior Notes | 2020 Euro Senior Notes        
Derivative [Line Items]        
Stated percentage rate   1.25% 1.25%  
Senior Notes | 2024 Euro Senior Notes        
Derivative [Line Items]        
Stated percentage rate   2.25% 2.25%  
Senior Notes | 2026 Senior Notes (3.950% coupon)        
Derivative [Line Items]        
Stated percentage rate   3.95% 3.95%  
Senior Notes | 2028 Euro Senior Notes        
Derivative [Line Items]        
Stated percentage rate   3.125% 3.125%  
Senior Notes | 2025 Euro Senior Notes [Member]        
Derivative [Line Items]        
Stated percentage rate   2.125% 2.125%  
Net Investment Hedging        
Derivative [Line Items]        
Notional amount of derivative     € 2,354.0 € 2,354.0
Amount of Ineffectiveness on Net Investment Hedges € 0.0      
Long-term debt     3,500.0  
Net Investment Hedging | 2020 Euro Senior Notes        
Derivative [Line Items]        
Notional amount of derivative     104.0 104.0
Long-term debt     750.0  
Net Investment Hedging | 2024 Euro Senior Notes        
Derivative [Line Items]        
Notional amount of derivative     1,000.0 1,000.0
Long-term debt     1,000.0  
Net Investment Hedging | 2028 Euro Senior Notes        
Derivative [Line Items]        
Notional amount of derivative     750.0 750.0
Long-term debt     750.0  
Net Investment Hedging | 2020 Floating Rate Euro Notes [Domain]        
Derivative [Line Items]        
Notional amount of derivative     0.0 0.0
Long-term debt     500.0  
Net Investment Hedging | 2025 Euro Senior Notes [Member]        
Derivative [Line Items]        
Notional amount of derivative     500.0 € 500.0
Long-term debt     € 500.0  
Respiratory delivery platform        
Derivative [Line Items]        
Fair Value, Measured on Recurring Basis, Gain (Loss) Included in Earnings | $   $ (28.9)    
Respiratory delivery platform | Prepaid expenses and other current assets        
Derivative [Line Items]        
Business Combination Contingent Consideration Liability Payments | $   $ (79.0)    
Measurement Input, Discount Rate | Contingent consideration | Maximum        
Derivative [Line Items]        
Business Combination, Contingent Consideration, Liability, Measurement Input   0.110 0.110