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Debt (Details)
$ / shares in Units, € in Millions, $ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Apr. 22, 2015
item
Dec. 31, 2017
USD ($)
Mar. 31, 2017
USD ($)
Nov. 30, 2016
USD ($)
Mar. 31, 2017
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Dec. 31, 2015
USD ($)
Dec. 31, 2017
EUR (€)
Dec. 31, 2017
USD ($)
$ / shares
Sep. 30, 2017
USD ($)
Mar. 31, 2017
EUR (€)
Mar. 31, 2017
USD ($)
Dec. 31, 2016
EUR (€)
Dec. 31, 2016
USD ($)
Nov. 30, 2016
EUR (€)
Debt Instrument                                
Total long-term debt                   $ 5,132         $ 5,166  
Less amounts due within one year                   11         33  
Long-term debt                   5,121         5,133  
Total leverage ratio 4.00%                              
Net proceeds, after deducting debt issuance costs           $ 1,458 $ 1,235 $ 4,538                
New Agreement                                
Debt Instrument                                
Number financial maintenance covenants | item 1                              
Secured Credit Agreement                                
Debt Instrument                                
Unused Credit                   $ 888            
Accounts receivable securitization                                
Weighted average interest rate, short-term debt (as a percent)                 3.17% 3.17%            
Term Loan A                                
Debt Instrument                                
Total long-term debt                   $ 1,148         1,395  
Face Value                   1,575            
Net proceeds, after deducting debt issuance costs           $ 1,148                    
Term Loan A (279 million EUR at December 31, 2016)                                
Debt Instrument                                
Total long-term debt                           € 279 282  
Senior Notes 6.75%, due 2020 (500 million EUR)                                
Debt Instrument                                
Total long-term debt                 € 500 $ 594         523  
Interest rate, stated percentage                 6.75% 6.75%            
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 597            
Indicated Market Price (in dollars per share) | $ / shares                   $ 116.99            
Fair Value                   $ 699            
Senior Notes 4.875%, due 2021 (330 million EUR)                                
Debt Instrument                                
Total long-term debt                 € 330 $ 392         345  
Interest rate, stated percentage                 4.875% 4.875%            
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 394            
Indicated Market Price (in dollars per share) | $ / shares                   $ 113.43            
Fair Value                   $ 447            
Senior Notes 5.00%, due 2022                                
Debt Instrument                                
Total long-term debt                   $ 496         495  
Interest rate, stated percentage                 5.00% 5.00%            
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 500            
Indicated Market Price (in dollars per share) | $ / shares                   $ 104.24            
Fair Value                   $ 521            
Senior Notes 5.875%, due 2023                                
Debt Instrument                                
Total long-term debt                   $ 685         682  
Interest rate, stated percentage                 5.875% 5.875%            
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 700            
Indicated Market Price (in dollars per share) | $ / shares                   $ 108.15            
Fair Value                   $ 757            
Senior Notes 3.125%, due 2024 (725 million EUR at December 31,2017 and 500 million EUR at December 31,2016)                                
Debt Instrument                                
Total long-term debt                 € 725 $ 849       € 500 520  
Interest rate, stated percentage                 3.125% 3.125%   3.125% 3.125%     3.125%
Face Value | €                       € 225       € 500
Net proceeds, after deducting debt issuance costs     $ 237 $ 520                        
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 866            
Indicated Market Price (in dollars per share) | $ / shares                   $ 105.34            
Fair Value                   $ 912            
Senior Notes, 5.375% due 2025                                
Debt Instrument                                
Total long-term debt                   $ 297         297  
Interest rate, stated percentage                 5.375% 5.375%            
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 300            
Indicated Market Price (in dollars per share) | $ / shares                   $ 105.31            
Fair Value                   $ 316            
Senior Notes 6.375%, due 2025                                
Debt Instrument                                
Total long-term debt                   $ 295         294  
Interest rate, stated percentage                 6.375% 6.375%            
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 300            
Indicated Market Price (in dollars per share) | $ / shares                   $ 112.62            
Fair Value                   $ 338            
Senior Notes 4.00%, due 2023                                
Debt Instrument                                
Total long-term debt                   $ 305            
Interest rate, stated percentage                 4.00% 4.00%            
Face Value                   $ 310            
Net proceeds, after deducting debt issuance costs   $ 305                            
Fair values of fixed rate debt obligations                                
Principal Amount                   $ 310            
Indicated Market Price (in dollars per share) | $ / shares                   $ 100.21            
Fair Value                   $ 311            
Senior Debentures 7.80%, due 2018                                
Debt Instrument                                
Total long-term debt                             250  
Interest rate, stated percentage                 7.80% 7.80%   7.80% 7.80%      
Face Value                         $ 228      
Fair values of fixed rate debt obligations                                
Principal Amount                     $ 22          
Interest charges for note repurchase premiums and related write-off of unamortized finance fees         $ 18                      
Capital leases                                
Debt Instrument                                
Total long-term debt                   $ 54         57  
Other debt                                
Debt Instrument                                
Total long-term debt                   17         26  
Revolving Credit Facility | New Agreement                                
Debt Instrument                                
Total long-term debt                   300            
Multicurrency Revolving Credit Facility | New Agreement                                
Debt Instrument                                
Total long-term debt                   600            
Accounts Receivable Securitization Program                                
Accounts receivable securitization                                
Short-term loans and long-term debt due within one year                   $ 133         $ 152  
Weighted average interest rate, short-term debt (as a percent)                 0.76% 0.76%       0.74% 0.74%  
European Accounts Receivable Securitization Program                                
Accounts receivable securitization                                
Maximum Borrowing Capacity | €                 € 185              
Minimum | Term Loan A | New Agreement                                
Debt Instrument                                
Interest rate margin, Eurocurrency Rate loans (as a percent) 1.25%                              
Interest rate margin, Base Rate loans (as a percent) 0.25%                              
Minimum | Revolving Credit Facility                                
Debt Instrument                                
Facility fee payable (as a percent) 0.20%                              
Maximum | Term Loan A | New Agreement                                
Debt Instrument                                
Interest rate margin, Eurocurrency Rate loans (as a percent) 1.75%                              
Interest rate margin, Base Rate loans (as a percent) 0.75%                              
Maximum | Revolving Credit Facility                                
Debt Instrument                                
Facility fee payable (as a percent) 0.30%