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Goodwill and Other Intangible Assets (Tables) | 6 Months Ended
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Jun. 30, 2022
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, 2021 | ​ | $ | 1,663.7 | ​ | $ | 2,950.1 | ​ | $ | 1,763.0 | ​ | $ | 6,376.8 | ​
Acquisition-related | ​ |  | 32.3 | ​ |  | (6.4) | ​ |  | (2.5) | ​ |  | 23.4 | ​
Foreign currency translation | ​ |  | (25.8) | ​ |  | (34.5) | ​ |  | (64.9) | ​ |  | (125.2) | ​
Goodwill at June 30, 2022 | ​ | $ | 1,670.2 | ​ | $ | 2,909.2 | ​ | $ | 1,695.6 | ​ | $ | 6,275.0 | ​
Summary of the Company's amortizable intangible assets | Other than goodwill noted above, the Company’s intangible assets as of June 30, 2022 and December 31, 2021 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | June 30, 2022 | ​ | December 31, 2021
​ | Weighted | ​ | Gross |  | ​ |  | Net |  | Gross |  | ​ |  | Net
​ | Average | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Carrying | ​ | Accumulated | ​ | Carrying
​ | Life (years) | ​ | Amount | ​ | Amortization | ​ | Amount | ​ | Amount | ​ | Amortization | ​ | Amount
Customer relationships | 10 | ​ | $ | 654.7 | ​ | $ | 374.8 | ​ | $ | 279.9 | ​ | $ | 637.2 | ​ | $ | 357.5 | ​ | $ | 279.7
Proprietary technology | 13 | ​ |  | 309.9 | ​ |  | 112.9 | ​ | ​ | 197.0 | ​ |  | 311.1 | ​ |  | 102.2 | ​ | ​ | 208.9
Backlog and other | 1 | ​ |  | 79.9 | ​ |  | 74.7 | ​ | ​ | 5.2 | ​ |  | 74.9 | ​ |  | 74.7 | ​ | ​ | 0.2
Total intangible assets (definite-lived) | 10 | ​ | ​ | 1,044.5 | ​ | ​ | 562.4 | ​ | ​ | 482.1 | ​ | ​ | 1,023.2 | ​ | ​ | 534.4 | ​ | ​ | 488.8
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names (indefinite-lived) | ​ | ​ | ​ | 269.1 | ​ | ​ | ​ | ​ | ​ | 269.1 | ​ | ​ | 268.1 | ​ | ​ | ​ | ​ | ​ | 268.1
​ | ​ | ​ | $ | 1,313.6 | ​ | $ | 562.4 | ​ | $ | 751.2 | ​ | $ | 1,291.3 | ​ | $ | 534.4 | ​ | $ | 756.9
Summary of the Company's indefinite-lived intangible assets | Other than goodwill noted above, the Company’s intangible assets as of June 30, 2022 and December 31, 2021 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | June 30, 2022 | ​ | December 31, 2021
​ | Weighted | ​ | Gross |  | ​ |  | Net |  | Gross |  | ​ |  | Net
​ | Average | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Carrying | ​ | Accumulated | ​ | Carrying
​ | Life (years) | ​ | Amount | ​ | Amortization | ​ | Amount | ​ | Amount | ​ | Amortization | ​ | Amount
Customer relationships | 10 | ​ | $ | 654.7 | ​ | $ | 374.8 | ​ | $ | 279.9 | ​ | $ | 637.2 | ​ | $ | 357.5 | ​ | $ | 279.7
Proprietary technology | 13 | ​ |  | 309.9 | ​ |  | 112.9 | ​ | ​ | 197.0 | ​ |  | 311.1 | ​ |  | 102.2 | ​ | ​ | 208.9
Backlog and other | 1 | ​ |  | 79.9 | ​ |  | 74.7 | ​ | ​ | 5.2 | ​ |  | 74.9 | ​ |  | 74.7 | ​ | ​ | 0.2
Total intangible assets (definite-lived) | 10 | ​ | ​ | 1,044.5 | ​ | ​ | 562.4 | ​ | ​ | 482.1 | ​ | ​ | 1,023.2 | ​ | ​ | 534.4 | ​ | ​ | 488.8
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names (indefinite-lived) | ​ | ​ | ​ | 269.1 | ​ | ​ | ​ | ​ | ​ | 269.1 | ​ | ​ | 268.1 | ​ | ​ | ​ | ​ | ​ | 268.1
​ | ​ | ​ | $ | 1,313.6 | ​ | $ | 562.4 | ​ | $ | 751.2 | ​ | $ | 1,291.3 | ​ | $ | 534.4 | ​ | $ | 756.9

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