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Goodwill (Details) - USD ($)
$ in Millions
 3 Months Ended
Mar. 31, 2024
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2023
Changes in Goodwill        
Balance at the beginning of the year $ 1,271.2      
Foreign currency (5.2)      
Balance at the end of the year 1,266.0      
Deferred income tax expense (benefit) (1.5)   $ 0.2  
Domestic Tax Authority        
Changes in Goodwill        
Deferred Tax Assets, Valuation Allowance 38.3     $ 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)    
Marketplace        
Changes in Goodwill        
Balance at the beginning of the year 1,030.3      
Foreign currency (5.2)      
Balance at the end of the year 1,025.1      
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