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Goodwill and Other Intangible Assets (Details) - USD ($)
$ in Millions
 6 Months Ended 12 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Dec. 31, 2023
Dec. 31, 2024
Changes in Goodwill        
Balance at the beginning of the year $ 1,222.9      
Foreign currency 22.0      
Balance at the end of the year 1,244.9      
Impairment of goodwill 0.0      
Deferred income tax expense (benefit) 2.8 $ 0.4    
Domestic Tax Jurisdiction        
Changes in Goodwill        
Deferred Tax Assets, Valuation Allowance 38.2     $ 35.8
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 982.0      
Foreign currency 22.0      
Balance at the end of the year 1,004.0      
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