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Borrowings - Senior Secured Credit Facilities (Details)
€ in Millions
9 Months Ended 12 Months Ended
Apr. 11, 2018
EUR (€)
Dec. 15, 2016
USD ($)
Aug. 16, 2016
Aug. 01, 2016
Feb. 03, 2014
Sep. 30, 2018
USD ($)
Sep. 30, 2017
USD ($)
Dec. 31, 2017
USD ($)
Apr. 11, 2018
USD ($)
Apr. 10, 2018
EUR (€)
Jun. 01, 2017
USD ($)
Dec. 15, 2016
EUR (€)
Dec. 15, 2016
USD ($)
Jul. 31, 2016
Debt Instrument [Line Items]                            
Unamortized original issue discount           $ 13,200,000   $ 9,100,000            
Proceeds from maturities, prepayments and calls of other investments (more than)   $ 75,000,000.0                        
Percentage on excess cash flow for mandatory prepayments of debt   50.00%                        
Decrease in percentage on excess cash flow for mandatory prepayments of debt   25.00%                        
Percentage on first lien leverage ratio for mandatory prepayments of debt   0.00%                        
First lien leverage ratio upper limit   4.25   3.00                    
First lien leverage ratio lower limit   3.50 5.50 2.50                    
Line of credit facility, maximum borrowing capacity           400,000,000.0                
Payments on long-term borrowings           505,100,000 $ 12,400,000              
Revolving Credit Facility [Member]                            
Debt Instrument [Line Items]                            
Expiration period (in years)       5 years                    
Accelerated period prior to expiration period (in days)       91 days                    
Percent of credit facility outstanding for accelerated maturity       30.00%                   25.00%
Percent not cash collateralized       103.00%                    
Line of credit facility, maximum amount outstanding during period           0                
Letters of credit outstanding, amount           43,800,000   35,500,000            
Line of credit facility, remaining borrowing capacity           $ 356,200,000   364,500,000            
Dollar Term Loan Due 2020 [Member]                            
Debt Instrument [Line Items]                            
Debt, long-term and short-term, combined amount                         $ 1,775,300,000  
Dollar Term Loan Due 2020 [Member] | Interest Rate Floor [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate   0.75%                        
2023 Dollar Term Loan [Member]                            
Debt Instrument [Line Items]                            
Debt, long-term and short-term, combined amount                         $ 1,545,000,000  
Debt instrument periodic payment principal percentage   1.00%                        
2023 Dollar Term Loan [Member] | Base Rate [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate   1.50%                        
Euro Term Loan Due 2020 [Member]                            
Debt Instrument [Line Items]                            
Debt, long-term and short-term, combined amount | €                       € 199.0    
2023 Euro Term Loan [Member]                            
Debt Instrument [Line Items]                            
Debt, long-term and short-term, combined amount | €                       € 400.0    
2023 Euro Term Loan [Member] | Eurocurrency Rate Loans [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate   2.50%                        
2023 Euro Term Loan [Member] | Base Rate [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate   0.75%                        
2024 Dollar Term Loans [Member]                            
Debt Instrument [Line Items]                            
Debt, long-term and short-term, combined amount € 2,430.0                 € 475.0 $ 2,000,000,000      
Discount, percent of par 99.75%               99.75%   99.875%      
Unamortized original issue discount                 $ 6,000,000   $ 2,500,000      
Payments on long-term borrowings               30,000,000            
Loss on extinguishment of debt               $ 400,000            
2024 Dollar Term Loans [Member] | Eurocurrency Rate Loans [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate 2.00% 1.75%                        
2024 Dollar Term Loans [Member] | Interest Rate Floor [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate 0.00% 0.00%                        
2024 Dollar Term Loans [Member] | Base Rate [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate 1.00% 0.75%                        
New Euro Term Loan [Member] | Eurocurrency Rate Loans [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate   2.25%                        
Senior Secured Credit Facilities [Member] | Revolving Credit Facility [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate     2.75%   3.50%                  
Senior Secured Credit Facilities [Member] | Eurodollar [Member] | Revolving Credit Facility [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate     0.00%                      
Step-down percent for 3.00:1.00 leverage ratio       2.50%                    
Step-down percent for 2.50:1.00 leverage ratio       2.25%                    
Senior Secured Credit Facility, Base Rate Loans [Member] | Revolving Credit Facility [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate       1.75% 2.50%                  
Step-down percent for 3.00:1.00 leverage ratio       1.50%                    
Step-down percent for 2.50:1.00 leverage ratio       1.25%                    
Senior Secured Credit Facility, Base Rate Loans [Member] | Eurodollar [Member] | Revolving Credit Facility [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate     1.00%                      
Senior Secured Credit Facility, Base Rate Loans [Member] | Federal Funds Effective Swap Rate [Member] | Revolving Credit Facility [Member]                            
Debt Instrument [Line Items]                            
Debt instrument, basis spread on variable rate       0.50%