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Goodwill and Other Intangible Assets (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Changes in Goodwill        
Balance at the beginning of the year   $ 1,271.2    
Foreign currency   (1.3)    
Balance at the end of the year   1,269.9    
Deferred income tax expense (benefit)   (0.1) $ (26.8)  
Impairment of goodwill   0.0    
U.S. Dealer-to-Dealer        
Changes in Goodwill        
Impairment of goodwill $ 218.9      
Europe        
Changes in Goodwill        
Impairment of goodwill 6.4      
Domestic Tax Jurisdiction        
Changes in Goodwill        
Deferred Tax Assets, Valuation Allowance   42.9   $ 36.4
Goodwill        
Changes in Goodwill        
Deferred income tax expense (benefit) (52.5)      
ADESA Trade Names (Indefinite)        
Changes in Goodwill        
Deferred income tax expense (benefit) (6.5)      
ADESA tradename - non-cash impairment charge $ 25.5      
Marketplace        
Changes in Goodwill        
Balance at the beginning of the year   1,030.3    
Foreign currency   (1.3)    
Balance at the end of the year   1,029.0    
Accumulated goodwill impairment   250.8   250.8
Finance        
Changes in Goodwill        
Balance at the beginning of the year   240.9    
Foreign currency   0.0    
Balance at the end of the year   240.9    
Accumulated goodwill impairment   $ 161.5   $ 161.5