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Goodwill and Other Intangible Assets, Net | 12 Months Ended
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Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill and Other Intangible Assets, Net | Goodwill and Other Intangible Assets, Net 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 |
Intangible Assets, Net 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. Amortization expense for intangible assets was $10.2 million, $7.2 million, and $6.8 million for the years ended December 31, 2023, 2022, and 2021, respectively. In February 2023, the Company paid Bigfoot Biomedical, Inc. $25.1 million, including transaction costs, to acquire patent assets related to pump-based automated insulin delivery technologies. The acquired patent assets have a useful life of 11 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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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 350 -Name Accounting Standards Codification -Publisher FASB -URI https://asc.fasb.org//350/tableOfContent + Details
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