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Sale of ADESA U.S. Physical Auction Business and Discontinued Operations (Details) - USD ($)
$ in Millions
 12 Months Ended
May 09, 2022
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
May 08, 2022
Discontinued Operations          
Proceeds from divestiture of business $ 2,200.0        
Term of commercial agreement 7 years        
Net cash inflow from the commercial agreement and transition services   $ 93.9 $ 57.4    
Cost of Service - KAR to ADESA U.S. Physical Auctions   60.3 73.6 $ 80.3  
Service Revenue - KAR to ADESA U.S. Physical Auctions   60.3 73.6 80.3  
Professional Fees Associated With Discontinued Operations     37.1    
Pretax gain on disposal of discontinued operations   0.0 $ 521.8 0.0  
Effective rate for discontinued operations (as a percent)     60.00%    
Deferred income tax liabilities   20.9 $ 54.0    
Discontinued Operations - Results of Operations          
Operating revenues   0.0 305.9 881.3  
Cost of services (exclusive of depreciation and amortization)   0.0 224.9 582.4  
Selling, general and administrative   0.0 67.8 148.7  
Depreciation and amortization   0.0 11.2 73.0  
Total operating expenses   0.0 303.9 804.1  
Operating profit   0.0 2.0 77.2  
Interest expense   0.0 0.1 0.9  
Other (income) expense, net   0.0 (8.4) (11.0)  
Income from discontinued operations before gain on disposal and income taxes   0.0 10.3 87.3  
Pretax gain on disposal of discontinued operations   0.0 521.8 0.0  
Income taxes   (0.7) 319.5 20.0  
Income from discontinued operations   $ 0.7 $ 212.6 $ 67.3  
Discontinued Operations - Major Classes of Assets and Liabilities          
Cash and cash equivalents         $ 68.6
Trade receivables, net of allowances         206.3
Inventory         15.5
Other current assets         9.3
Current assets of discontinued operations         299.7
Goodwill         1,099.7
Customer relationships, net of accumulated amortization         81.4
Other intangible assets, net of accumulated amortization         30.7
Operating lease right-of-use assets         223.7
Property and equipment, net of accumulated depreciation         440.1
Other assets         2.4
Non-current assets of discontinued operations         1,878.0
Total assets of discontinued operations         2,177.7
Accounts payable         249.5
Accrued employee benefits and compensation expenses         10.2
Other accrued expenses         28.2
Current portion of operating lease liabilities         27.7
Current liabilities of discontinued operations         315.6
Operating lease liabilities         216.8
Other liabilities         2.0
Non-current liabilities of discontinued operations         218.8
Total liabilities of discontinued operations         $ 534.4