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Debt (Details)
$ / shares in Units, € in Millions, $ in Millions
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Dec. 31, 2017
USD ($)
Mar. 31, 2017
USD ($)
Jun. 30, 2018
USD ($)
Sep. 30, 2018
EUR (€)
item
agreement
Sep. 30, 2018
USD ($)
item
agreement
Dec. 31, 2017
USD ($)
Sep. 30, 2018
USD ($)
item
$ / shares
Dec. 31, 2017
EUR (€)
Dec. 31, 2017
USD ($)
Nov. 30, 2017
USD ($)
Sep. 30, 2017
EUR (€)
Sep. 30, 2017
USD ($)
Mar. 31, 2017
EUR (€)
Mar. 31, 2017
USD ($)
Debt Instrument                            
Total long-term debt             $ 5,508.0   $ 5,132.0     $ 5,426.0    
Less amounts due within one year             21.0   11.0     48.0    
Long-term debt             5,487.0   5,121.0     5,378.0    
Unused Credit             $ 653.0              
Number financial maintenance covenants | agreement       1 1                  
Leverage Ratio | item       4.5     4.5              
Accounts receivable securitization                            
Short-term loans and long-term debt due within one year             $ 152.0   162.0     243.0    
Weighted average interest rate, short-term debt (as a percent)       3.40%     3.40%              
Maximum                            
Debt Instrument                            
Maximum Leverage Ratio may increase | item       0.5 0.5                  
Maximum Borrowing Capacity             $ 1,910.0              
Prior Agreement                            
Debt Instrument                            
Interest charges for write-off of finance fees     $ 11.0                      
Secured Credit Agreement | Minimum                            
Debt Instrument                            
Interest rate margin, Eurocurrency Rate loans (as a percent)       1.00%     1.00%              
Interest rate margin, Base Rate loans (as a percent)       0.00% 0.00%                  
Secured Credit Agreement | Maximum                            
Debt Instrument                            
Interest rate margin, Eurocurrency Rate loans (as a percent)       1.50%     1.50%              
Interest rate margin, Base Rate loans (as a percent)       0.50% 0.50%                  
Revolving Loans                            
Debt Instrument                            
Total long-term debt             $ 335.0              
Revolving Loans | Prior Agreement                            
Debt Instrument                            
Total long-term debt                       200.0    
Term Loan A                            
Debt Instrument                            
Total long-term debt             908.0              
Face Value             910.0              
Net proceeds, after deducting debt issuance costs         $ 908.0                  
Term Loan A | Prior Agreement                            
Debt Instrument                            
Total long-term debt                 1,148.0     1,202.0    
Term Loan A (279 million EUR) | Prior Agreement                            
Debt Instrument                            
Total long-term debt                     € 279 308.0    
Other secured debt                            
Debt Instrument                            
Total long-term debt             329.0              
Senior Notes 6.75%, due 2020 (500 million EUR)                            
Debt Instrument                            
Total long-term debt       € 500     $ 580.0 € 500 594.0   500 586.0    
Interest rate, stated percentage       6.75%     6.75%              
Fair values of fixed rate debt obligations                            
Principal Amount             $ 582.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 113.10              
Fair Value             $ 658.0              
Senior Notes 4.875%, due 2021 (330 million EUR)                            
Debt Instrument                            
Total long-term debt       € 330     $ 382.0 € 330 392.0   330 386.0    
Interest rate, stated percentage       4.875%     4.875%              
Fair values of fixed rate debt obligations                            
Principal Amount             $ 384.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 111.05              
Fair Value             $ 426.0              
Senior Notes 5.00%, due 2022                            
Debt Instrument                            
Total long-term debt             $ 497.0   496.0     496.0    
Interest rate, stated percentage       5.00%     5.00%              
Fair values of fixed rate debt obligations                            
Principal Amount             $ 500.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 100.93              
Fair Value             $ 505.0              
Senior Notes 4.00%, due 2023                            
Debt Instrument                            
Total long-term debt             $ 306.0   $ 305.0          
Interest rate, stated percentage       4.00%     4.00% 4.00% 4.00%          
Face Value                 $ 310.0          
Net proceeds, after deducting debt issuance costs $ 305.0                          
Fair values of fixed rate debt obligations                            
Principal Amount             $ 310.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 95.57              
Fair Value             $ 296.0              
Senior Notes 5.875%, due 2023                            
Debt Instrument                            
Total long-term debt             $ 687.0   685.0     684.0    
Interest rate, stated percentage       5.875%     5.875%              
Fair values of fixed rate debt obligations                            
Principal Amount             $ 700.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 103.08              
Fair Value             $ 722.0              
Senior Notes 3.125%, due 2024 (725 million EUR)                            
Debt Instrument                            
Total long-term debt       € 725     $ 828.0 € 725 $ 849.0   € 725 840.0    
Interest rate, stated percentage       3.125%     3.125% 3.125% 3.125%       3.125% 3.125%
Face Value | €                         € 225  
Net proceeds, after deducting debt issuance costs   $ 237.0                        
Fair values of fixed rate debt obligations                            
Principal Amount             $ 844.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 103.40              
Fair Value             $ 873.0              
Senior Notes 6.375%, due 2025                            
Debt Instrument                            
Total long-term debt             $ 295.0   $ 295.0     295.0    
Interest rate, stated percentage       6.375%     6.375%              
Fair values of fixed rate debt obligations                            
Principal Amount             $ 300.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 103.88              
Fair Value             $ 312.0              
Senior Notes, 5.375% due 2025                            
Debt Instrument                            
Total long-term debt             $ 297.0   297.0     297.0    
Interest rate, stated percentage       5.375%     5.375%              
Fair values of fixed rate debt obligations                            
Principal Amount             $ 300.0              
Indicated Market Price (in dollars per share) | $ / shares             $ 98.90              
Fair Value             $ 297.0              
Senior Debentures 7.80%, due 2018                            
Debt Instrument                            
Total long-term debt                   $ 22.0   22.0    
Interest rate, stated percentage       7.80%     7.80%     7.80%        
Face Value                           $ 228.0
Interest charges for write-off of finance fees           $ 18.0                
Capital leases                            
Debt Instrument                            
Total long-term debt             $ 48.0   54.0     54.0    
Other                            
Debt Instrument                            
Total long-term debt             16.0   $ 17.0     $ 56.0    
Revolving Credit Facility                            
Debt Instrument                            
Total long-term debt             300.0              
Additional default interest rate per annum applied to all obligations owed under the Agreement       2.00% 2.00%                  
Revolving Credit Facility | Minimum                            
Debt Instrument                            
Facility fee payable (as a percent)       0.20% 0.20%                  
Revolving Credit Facility | Maximum                            
Debt Instrument                            
Facility fee payable (as a percent)       0.30% 0.30%                  
Multicurrency Revolving Credit Facility                            
Debt Instrument                            
Total long-term debt             $ 700.0              
European Accounts Receivable Securitization Program                            
Debt Instrument                            
Termination of accounts receivable securitization | €       € 185