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Goodwill and Other Intangible Assets, Net (Tables) | 12 Months Ended
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Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of Changes in Carrying Amount of Goodwill | The change in the carrying amount of goodwill for the period is as follows:
| Year Ended December 31,
(in millions) | 2023 |  | 2022
Goodwill at beginning of the year | $ | 51.7 |  |  | $ | 39.8 |
Acquisition (Note 11) | — |  |  | 12.0 |
Foreign currency translation | — |  |  | (0.1) |
Goodwill at end of the year | $ | 51.7 |  |  | $ | 51.7 |
Schedule of Other Intangible Assets | Intangible assets with finite useful lives are amortized based on the pattern in which the economic benefits of the assets are estimated to be consumed over the following estimated useful lives of the assets:
Customer relationships | 14 years
Internal-use software | 3 to 5 years
Developed technology | 13 to 15 years
Patents | 8 to 15 years
The gross carrying amount, accumulated amortization and net book value of intangible assets at the end of each period were as follows:
| As of December 31,
2023 |  | 2022
(in millions) | Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Book Value
Customer relationships | $ | 43.2 |  |  | $ | (30.9) |  |  | $ | 12.3 |  |  | $ | 43.2 |  |  | $ | (27.5) |  |  | $ | 15.7 |
Internal-use software | 43.1 |  |  | (13.9) |  |  | 29.2 |  |  | 34.8 |  |  | (12.0) |  |  | 22.8 |
Developed technology(1) | 27.4 |  |  | (3.0) |  |  | 24.4 |  |  | 27.4 |  |  | (1.0) |  |  | 26.4 |
Patents(1) | 36.2 |  |  | (3.4) |  |  | 32.8 |  |  | 11.0 |  |  | (0.4) |  |  | 10.6 |
Total intangible assets | $ | 149.9 |  |  | $ | (51.2) |  |  | $ | 98.7 |  |  | $ | 116.4 |  |  | $ | (40.9) |  |  | $ | 75.5 |
(1) Includes intangible assets acquired in December 2022. See Note 19 for additional information.
Schedule of Amortization Expense Expected for Next Five Years | Amortization expense associated with the intangible assets included on the Company’s consolidated balance sheet as of December 31, 2023 is expected to be as follows:
Years Ending December 31, | (in millions)
2024 | $ | 9.8 |
2025 | $ | 13.4 |
2026 | $ | 13.2 |
2027 | $ | 12.0 |
2028 | $ | 11.0 |

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