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Equity-Based Compensation - Equity Awards Granted by Seller of CDW UK (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Aug. 01, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grant date fair value (in dollars per share) $ 35.93      
Payment of incentive compensation plan withholding taxes   $ 21.4 $ 33.9 $ 49.6
Employee Stock Option        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grant date fair value (in dollars per share)   $ 19.26 $ 14.80 $ 12.27
Stock options vested and exercised (in shares)   110,978 456,613  
Payment of incentive compensation plan withholding taxes   $ 6.0 $ 19.0