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Debt - Debt Balances and Interest Rates (Details) - USD ($)
$ in Millions
Dec. 31, 2021
Dec. 31, 2020
Debt Instrument [Line Items]    
Long-term debt $ 6,904.5 $ 3,954.4
Unamortized deferred financing fees (46.0) (27.2)
Current maturities of long-term debt (102.7) (70.9)
Total long-term debt 6,755.8 3,856.3
Senior unsecured revolving loan facility    
Debt Instrument [Line Items]    
Long-term debt $ 316.4 $ 0.0
CDW UK term loan    
Debt Instrument [Line Items]    
Interest Rate 0.00% 1.445%
Long-term debt $ 0.0 $ 56.0
Senior unsecured term loan facility    
Debt Instrument [Line Items]    
Interest Rate   0.00%
Long-term debt $ 1,420.0 $ 0.0
Senior secured term loan facility    
Debt Instrument [Line Items]    
Interest Rate 0.00% 1.90%
Long-term debt $ 0.0 $ 1,423.4
Total term loans    
Debt Instrument [Line Items]    
Long-term debt $ 1,420.0 $ 1,479.4
Senior notes due 2024    
Debt Instrument [Line Items]    
Interest Rate 5.50% 5.50%
Long-term debt $ 575.0 $ 575.0
Senior notes due 2025    
Debt Instrument [Line Items]    
Interest Rate 4.125% 4.125%
Long-term debt $ 600.0 $ 600.0
Senior notes due 2028    
Debt Instrument [Line Items]    
Interest Rate 4.25% 4.25%
Long-term debt $ 600.0 $ 600.0
Senior notes due 2029    
Debt Instrument [Line Items]    
Interest Rate 3.25% 3.25%
Long-term debt $ 700.0 $ 700.0
Senior notes due 2026    
Debt Instrument [Line Items]    
Interest Rate   0.00%
Long-term debt   $ 0.0
Senior notes due 2028    
Debt Instrument [Line Items]    
Interest Rate   0.00%
Long-term debt   $ 0.0
Senior notes due 2031    
Debt Instrument [Line Items]    
Interest Rate   0.00%
Long-term debt   $ 0.0
Total unsecured senior notes    
Debt Instrument [Line Items]    
Long-term debt 4,975.0 2,475.0
Receivable financing liability    
Debt Instrument [Line Items]    
Long-term debt 179.5 0.0
Other long-term obligations    
Debt Instrument [Line Items]    
Long-term debt $ 13.6 $ 0.0