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Consolidated Statements of Income - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Operating revenues        
Auction fees $ 102.1 $ 88.9 $ 305.3 $ 289.5
Service revenue 153.9 159.2 475.2 444.0
Purchased vehicle sales 60.6 45.8 176.5 137.9
Finance-related revenue 99.7 99.1 296.8 275.2
Total operating revenues 416.3 393.0 1,253.8 1,146.6
Operating expenses        
Cost of services (exclusive of depreciation and amortization) 216.0 209.6 662.8 632.3
Selling, general and administrative 107.4 109.1 326.6 352.1
Depreciation and amortization 26.4 24.3 76.2 76.2
Goodwill and other intangibles impairment 0.0 0.0 250.8 0.0
Total operating expenses 349.8 343.0 1,316.4 1,060.6
Operating profit (loss) 66.5 50.0 (62.6) 86.0
Interest expense 39.4 32.3 116.5 83.8
Other (income) expense, net 1.7 1.2 (12.5) 6.4
Loss on extinguishment of debt 0.0 9.3 1.1 17.0
Income (loss) from continuing operations before income taxes 25.4 7.2 (167.7) (21.2)
Income taxes 12.7 6.7 0.7 (7.9)
Income (loss) from continuing operations 12.7 0.5 (168.4) (13.3)
Income (loss) from discontinued operations, net of income taxes 0.0 (6.3) 0.0 217.4
Net income (loss) $ 12.7 $ (5.8) $ (168.4) $ 204.1
Net income (loss) per share - basic        
Income (loss) from continuing operations $ 0.01 $ (0.09) $ (1.84) $ (0.30)
Income (loss) from discontinued operations 0 (0.06) 0 1.41
Net income (loss) 0.01 (0.15) (1.84) 1.11
Net income (loss) per share - diluted        
Income (loss) from continuing operations 0.01 (0.09) (1.84) (0.30)
Income (loss) from discontinued operations 0 (0.06) 0 1.41
Net income (loss) $ 0.01 $ (0.15) $ (1.84) $ 1.11