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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 |

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