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Goodwill and Other Intangible Assets (Tables) | 3 Months Ended
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Mar. 31, 2024
Goodwill and Other Intangible Assets |
Schedule of changes in the carrying amount of goodwill by segment | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Harsh |  | ​ | ​ | Interconnect |  | ​ | ​ |
​ | ​ | Environment | ​ | Communications | ​ | and Sensor | ​ | ​ | ​ |
​ | ​ | Solutions | ​ | Solutions | ​ | Systems | ​ | Total |
Goodwill at December 31, 2023 | ​ | $ | 2,009.3 | ​ | $ | 2,977.5 | ​ | $ | 2,105.6 | ​ | $ | 7,092.4 | ​
Acquisition-related | ​ |  | 1.2 | ​ |  | 4.5 | ​ |  | 43.7 | ​ |  | 49.4 | ​
Foreign currency translation | ​ |  | (9.2) | ​ |  | (9.5) | ​ |  | (22.6) | ​ |  | (41.3) | ​
Goodwill at March 31, 2024 | ​ | $ | 2,001.3 | ​ | $ | 2,972.5 | ​ | $ | 2,126.7 | ​ | $ | 7,100.5 | ​
Summary of the Company's amortizable intangible assets | Other than goodwill noted above, the Company’s intangible assets as of March 31, 2024 and December 31, 2023 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | March 31, 2024 | ​ | December 31, 2023
​ | Weighted | ​ | Gross |  | ​ |  | Net |  | Gross |  | ​ |  | Net
​ | Average | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Carrying | ​ | Accumulated | ​ | Carrying
​ | Life (years) | ​ | Amount | ​ | Amortization | ​ | Amount | ​ | Amount | ​ | Amortization | ​ | Amount
Customer relationships | 10 | ​ | $ | 780.2 | ​ | $ | 462.5 | ​ | $ | 317.7 | ​ | $ | 782.6 | ​ | $ | 450.6 | ​ | $ | 332.0
Proprietary technology | 13 | ​ |  | 350.8 | ​ |  | 152.2 | ​ | ​ | 198.6 | ​ |  | 365.1 | ​ |  | 146.1 | ​ | ​ | 219.0
Backlog and other | 1 | ​ |  | 99.4 | ​ |  | 99.4 | ​ | ​ | — | ​ |  | 114.1 | ​ |  | 99.4 | ​ | ​ | 14.7
Total intangible assets (definite-lived) | 10 | ​ | ​ | 1,230.4 | ​ | ​ | 714.1 | ​ | ​ | 516.3 | ​ | ​ | 1,261.8 | ​ | ​ | 696.1 | ​ | ​ | 565.7
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names (indefinite-lived) | ​ | ​ | ​ | 269.1 | ​ | ​ | ​ | ​ | ​ | 269.1 | ​ | ​ | 269.1 | ​ | ​ | ​ | ​ | ​ | 269.1
​ | ​ | ​ | $ | 1,499.5 | ​ | $ | 714.1 | ​ | $ | 785.4 | ​ | $ | 1,530.9 | ​ | $ | 696.1 | ​ | $ | 834.8
Summary of the Company's indefinite-lived intangible assets | Other than goodwill noted above, the Company’s intangible assets as of March 31, 2024 and December 31, 2023 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | March 31, 2024 | ​ | December 31, 2023
​ | Weighted | ​ | Gross |  | ​ |  | Net |  | Gross |  | ​ |  | Net
​ | Average | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Carrying | ​ | Accumulated | ​ | Carrying
​ | Life (years) | ​ | Amount | ​ | Amortization | ​ | Amount | ​ | Amount | ​ | Amortization | ​ | Amount
Customer relationships | 10 | ​ | $ | 780.2 | ​ | $ | 462.5 | ​ | $ | 317.7 | ​ | $ | 782.6 | ​ | $ | 450.6 | ​ | $ | 332.0
Proprietary technology | 13 | ​ |  | 350.8 | ​ |  | 152.2 | ​ | ​ | 198.6 | ​ |  | 365.1 | ​ |  | 146.1 | ​ | ​ | 219.0
Backlog and other | 1 | ​ |  | 99.4 | ​ |  | 99.4 | ​ | ​ | — | ​ |  | 114.1 | ​ |  | 99.4 | ​ | ​ | 14.7
Total intangible assets (definite-lived) | 10 | ​ | ​ | 1,230.4 | ​ | ​ | 714.1 | ​ | ​ | 516.3 | ​ | ​ | 1,261.8 | ​ | ​ | 696.1 | ​ | ​ | 565.7
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names (indefinite-lived) | ​ | ​ | ​ | 269.1 | ​ | ​ | ​ | ​ | ​ | 269.1 | ​ | ​ | 269.1 | ​ | ​ | ​ | ​ | ​ | 269.1
​ | ​ | ​ | $ | 1,499.5 | ​ | $ | 714.1 | ​ | $ | 785.4 | ​ | $ | 1,530.9 | ​ | $ | 696.1 | ​ | $ | 834.8

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