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Sale of ADESA U.S. Physical Auction Business and Discontinued Operations (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended 12 Months Ended
May 09, 2022
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Dec. 31, 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       $ 74.6    
Service Revenue - KAR to ADESA U.S. Physical Auctions   $ 12.9 $ 20.6 55.7 $ 56.7  
Cost of Service - KAR to ADESA U.S. Physical Auctions   12.9 20.6 55.7 56.7  
Pretax gain on disposal of discontinued operations   0.0 (11.9) 0.0 521.8 $ 521.8
Effective rate for discontinued operations (as a percent)           60.00%
Discontinued Operations - Results of Operations            
Operating revenues   0.0 0.0 0.0 305.9  
Cost of services (exclusive of depreciation and amortization)   0.0 0.0 0.0 224.9  
Selling, general and administrative   0.0 0.0 0.0 68.8  
Depreciation and amortization   0.0 0.0 0.0 11.2  
Total operating expenses   0.0 0.0 0.0 304.9  
Operating profit (loss)   0.0 0.0 0.0 1.0  
Interest expense   0.0 0.0 0.0 0.1  
Other (income) expense, net   0.0 0.0 0.0 (8.4)  
Income (loss) from discontinued operations before gain on disposal and income taxes   0.0 0.0 0.0 9.3  
Pretax gain on disposal of discontinued operations   0.0 (11.9) 0.0 521.8 $ 521.8
Income taxes   0.0 (5.6) 0.0 313.7  
Income (loss) from discontinued operations   $ 0.0 $ (6.3) $ 0.0 $ 217.4