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Goodwill and Other Intangible Assets (Details) - USD ($)
$ in Millions
 6 Months Ended 12 Months Ended
Nov. 30, 2022
Jun. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Changes in goodwill          
Balance at the beginning of the year   $ 1,464.5 $ 1,464.5 $ 1,598.0  
Decrease for disposition activity       (119.2)  
Foreign currency     6.1 (14.3)  
Increase for acquisition activity     25.9    
Impairment $ 0.0   (225.3) 0.0  
Balance at the end of the year     1,271.2 1,464.5 $ 1,598.0
Deferred income tax expense (benefit)     (29.8) (2.3) 4.4
Deferred Tax Assets, Valuation Allowance     63.2 25.3  
Domestic Tax Authority          
Changes in goodwill          
Deferred Tax Assets, Valuation Allowance     36.4    
ADESA Trade Names (Indefinite)          
Changes in goodwill          
Deferred income tax expense (benefit)   (6.5)      
ADESA U.S. physical auctions          
Changes in goodwill          
Decrease for disposition activity       (1,100.0)  
U.S. Dealer-to-Dealer          
Changes in goodwill          
Impairment   (218.9)      
Balance at the end of the year     87.3    
Deferred income tax expense (benefit)   (52.5)      
Europe Reporting Unit          
Changes in goodwill          
Impairment   (6.4)      
Balance at the end of the year     120.8    
Marketplace          
Changes in goodwill          
Balance at the beginning of the year   1,223.6 1,223.6 1,357.1  
Decrease for disposition activity       (119.2)  
Foreign currency     6.1 (14.3)  
Increase for acquisition activity     25.9    
Impairment     (225.3)    
Balance at the end of the year     1,030.3 1,223.6 1,357.1
Accumulated Goodwill Impairment     250.8 25.5 25.5
Finance          
Changes in goodwill          
Balance at the beginning of the year   $ 240.9 240.9 240.9  
Decrease for disposition activity       0.0  
Foreign currency     0.0 0.0  
Increase for acquisition activity     0.0    
Impairment     0.0    
Balance at the end of the year     240.9 240.9 240.9
Accumulated Goodwill Impairment     $ 161.5 $ 161.5 $ 161.5