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Long-Term Debt - Debt Covenants (Details)
£ in Millions, $ in Millions
Sep. 30, 2018
GBP (£)
Sep. 30, 2018
USD ($)
Apr. 03, 2018
Dec. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Debt Instrument [Line Items]          
Long-term Debt, Gross   $ 3,238.2   $ 3,255.9  
Senior secured term loan facility          
Debt Instrument [Line Items]          
Long-term Debt, Gross   1,456.9   1,468.0 $ 1,500.0
Amount of restricted payment capacity   $ 1,400.0      
Net leverage ratio 2.33 2.33 3.75    
CDW UK term loan          
Debt Instrument [Line Items]          
Long-term Debt, Gross £ 51 $ 66.0   $ 75.7  
Amount of restricted payment capacity £ 117 $ 152.0