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Long-Term Debt - Term Loan (Details)
£ in Millions, $ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2018
GBP (£)
Sep. 30, 2018
USD ($)
Sep. 30, 2017
USD ($)
Sep. 30, 2018
USD ($)
Sep. 30, 2017
USD ($)
Sep. 30, 2018
USD ($)
Apr. 03, 2018
Dec. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Debt Instrument [Line Items]                  
Carrying value           $ 3,238.2   $ 3,255.9  
Net loss on extinguishments of long-term debt   $ 0.0 $ 0.0 $ 0.0 $ 57.4        
Senior secured term loan facility                  
Debt Instrument [Line Items]                  
Reduction in interest margins from debt amended             0.25%    
Net leverage ratio 2.33         2.33 3.75    
Carrying value           $ 1,456.9   $ 1,468.0 $ 1,500.0
Deferred financing costs           $ 3.0      
Quarterly principal installment       $ 4.0          
Net loss on extinguishments of long-term debt         14.0        
Write off of deferred financing costs         5.0        
Write off of deferred debt discount         9.0        
Payments of debt issuance costs         $ 2.0        
Interest Rate 3.80%         3.80%   3.70%  
CDW UK term loan                  
Debt Instrument [Line Items]                  
Variable interest rate margin 1.40%         1.40%      
Carrying value £ 51         $ 66.0   $ 75.7  
Deferred finance costs, net and unamortized premium 1         $ 1.0      
Repayments of debt £ 5 $ 7.0              
Interest Rate 2.29%         2.29%   1.90%  
CDW UK Revolving Credit Facility                  
Debt Instrument [Line Items]                  
Carrying value £ 5         $ 7.0      
Total borrowing capacity £ 50         $ 65.0      
LIBOR | Senior secured term loan facility                  
Debt Instrument [Line Items]                  
Variable interest rate margin             1.75%    
ABR | Senior secured term loan facility                  
Debt Instrument [Line Items]                  
Variable interest rate margin             0.75%    
Federal Funds Effective Swap Rate | Senior secured term loan facility                  
Debt Instrument [Line Items]                  
Basis spread on variable rate (as percent)       0.50%