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Convertible Preferred Stock (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Jun. 30, 2020
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Temporary Equity [Line Items]        
Common stock, par value (in dollars per share)   $ 0.01 $ 0.01  
Value of preferred stock dividends paid in cash   $ 44.4    
Value of preferred stock dividends paid in-kind       $ 41.1
Series A Preferred Stock [Member]        
Temporary Equity [Line Items]        
Series A Preferred Stock shares issued 550,000      
Series A Preferred Stock par value per share $ 0.01 $ 0.01    
Purchase price per share $ 1,000      
Proceeds from issuance of Series A Preferred Stock $ 550.0      
Series A Preferred stock shares authorized   1,500,000    
Liquidation preference per share   $ 1,000    
Cumulative dividend rate   7.00%    
Number Of dividend payments initially paid in-kind   8    
Value of preferred stock dividends paid in cash   $ 44.4 $ 22.2  
Value of preferred stock dividends paid in-kind     $ 21.6 $ 41.1
Series A Preferred Stock conversion term for holders   1 year    
Conversion price per share   $ 17.75    
Conversion ratio - number of shares of common stock per share of Series A Preferred Stock   56.3380    
Series A Preferred Stock conversion term for company   3 years    
Closing price of KAR stock necessary for Series A Preferred Stock to be convertible   $ 31.0625    
Number Of Trading Days Required For Common Stock Price To Be Above A Certain Amount Before Company Can Exercise Conversion Of Series A Preferred Stock   20 days    
Number Of Consecutive Trading Days Within Which 20 Day Requirement Must Be Met For Common Stock Price To Be Above A Certain Amount   30 days    
Series A Preferred Stock Redemption Term For Company   6 years    
Redemption Price By Company Between Six and Seven Years As A Percentage Of Liquidation Preference Plus Accrued And Unpaid Dividends   105.00%    
Redemption Price By Company After Seven Years As A Percentage Of Liquidation Preference Plus Accrued And Unpaid Dividends   100.00%    
Redemption Price After Change Of Control As A Percentage of Liquidation Preference And Accrued Dividends   105.00%    
Minimum | Periphas [Member] | Series A Preferred Stock [Member]        
Temporary Equity [Line Items]        
Standstill restrictions, ownership percentage   50.00%    
Term of standstill restrictions   3 years    
Minimum | Apax [Member] | Series A Preferred Stock [Member]        
Temporary Equity [Line Items]        
Standstill restrictions, ownership percentage   25.00%    
Term of standstill restrictions   3 years