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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 |  |

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