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Goodwill and Other Intangible Assets (Details 3) - USD ($)
$ in Millions
 6 Months Ended 12 Months Ended
Jun. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Summary of other intangible assets        
Gross carrying amount   $ 656.9 $ 637.3  
Accumulated amortization   (475.4) (406.0)  
Carrying value   181.5 231.3  
Indefinite-lived tradenames   8.7 131.5  
ADESA tradename - non-cash impairment charge $ 25.5      
Deferred income tax expense (benefit)   (29.8) (2.3) $ 4.4
Amortization expense for customer relationships and other intangibles   87.7 83.6 $ 89.9
Estimated amortization expense        
2024   70.4    
2025   54.1    
2026   38.2    
2027   31.7    
2028   31.6    
ADESA Trade Names (Indefinite)        
Summary of other intangible assets        
Carrying value 122.8      
Deferred income tax expense (benefit) (6.5)      
Computer software & technology        
Summary of other intangible assets        
Gross carrying amount   533.7 488.7  
Accumulated amortization   (447.5) (390.8)  
Carrying value   $ 86.2 97.9  
Computer software & technology | Minimum        
Summary of other intangible assets        
Useful lives   3 years    
Computer software & technology | Maximum        
Summary of other intangible assets        
Useful lives   13 years    
ADESA Trade Names (Finite)        
Summary of other intangible assets        
Carrying value $ 97.3      
Useful lives 6 years      
Tradenames        
Summary of other intangible assets        
Gross carrying amount   $ 123.2 148.6  
Accumulated amortization   (27.9) (15.2)  
Carrying value   $ 95.3 $ 133.4  
Tradenames | Minimum        
Summary of other intangible assets        
Useful lives   1 year