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Goodwill and Other Intangible Assets | 6 Months Ended
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Jun. 30, 2019
Goodwill and Other Intangible Assets | Note 12—Goodwill and Other Intangible Assets ​ The changes in the carrying amount of goodwill by segment were as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Interconnect |  | Cable |  | ​ | ​ |
​ | ​ | Products and | ​ | Products and | ​ | ​ | ​ |
​ | ​ | Assemblies | ​ | Solutions | ​ | Total |
Goodwill at December 31, 2018 | ​ | $ | 3,956.7 | ​ | $ | 146.5 | ​ | $ | 4,103.2 | ​
Acquisition-related | ​ |  | 602.2 | ​ |  | 10.6 | ​ |  | 612.8 | ​
Foreign currency translation | ​ |  | (9.9) | ​ |  | — | ​ |  | (9.9) | ​
Goodwill at June 30, 2019 | ​ | $ | 4,549.0 | ​ | $ | 157.1 | ​ | $ | 4,706.1 | ​
​ The increase in goodwill, net of foreign currency translation, during the first six months of 2019 is due to the Company’s acquisitions during the first half of 2019. ​ Other than goodwill noted above, the Company’s intangible assets as of June 30, 2019 and December 31, 2018 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | June 30, 2019 | ​ | December 31, 2018
​ | Weighted | ​ | Gross |  | ​ |  | Net |  | Gross |  | ​ |  | Net
​ | Average | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Carrying | ​ | Accumulated | ​ | Carrying
​ | Life (years) | ​ | Amount | ​ | Amortization | ​ | Amount | ​ | Amount | ​ | Amortization | ​ | Amount
Customer relationships | 10 | ​ | $ | 436.9 | ​ | $ | 252.8 | ​ | $ | 184.1 | ​ | $ | 399.2 | ​ | $ | 234.7 | ​ | $ | 164.5
Proprietary technology | 11 | ​ |  | 156.0 | ​ |  | 67.0 | ​ | ​ | 89.0 | ​ |  | 107.5 | ​ |  | 60.5 | ​ | ​ | 47.0
Backlog and other | 2 | ​ |  | 49.7 | ​ |  | 49.4 | ​ | ​ | 0.3 | ​ |  | 34.0 | ​ |  | 33.7 | ​ | ​ | 0.3
Total intangible assets (definite-lived) | 9 | ​ | ​ | 642.6 | ​ | ​ | 369.2 | ​ | ​ | 273.4 | ​ | ​ | 540.7 | ​ | ​ | 328.9 | ​ | ​ | 211.8
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names (indefinite-lived) | ​ | ​ | ​ | 186.1 | ​ | ​ | ​ | ​ | ​ | 186.1 | ​ | ​ | 186.1 | ​ | ​ | ​ | ​ | ​ | 186.1
​ | ​ | ​ | $ | 828.7 | ​ | $ | 369.2 | ​ | $ | 459.5 | ​ | $ | 726.8 | ​ | $ | 328.9 | ​ | $ | 397.9
​ Intangible assets are included in Intangibles, net and other long-term assets in the accompanying Condensed Consolidated Balance Sheets. The increase in the carrying amounts of intangible assets during the first six months of 2019 was primarily due to intangible assets acquired as a result of the SSI acquisition, along with the other acquisitions closed during the period. The amortization expense for the three months ended June 30, 2019 and 2018 was approximately $15.6 and $11.9, respectively. The amortization expense for the six months ended June 30, 2019 and 2018 was approximately $40.4 and $23.8, respectively. Amortization expense during the three and six months ended June 30, 2019 includes $3.2 and $15.7, respectively, related to the amortization of acquired backlog, primarily related to the SSI acquisition. As of June 30, 2019, amortization expense relating to the Company’s current intangible assets estimated for the remainder of 2019 is approximately $25.6 and for each of the next five fiscal years is approximately $46.8 in 2020, $42.1 in 2021, $34.8 in 2022, $32.0 in 2023 and $28.5 in 2024.

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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -URI http://asc.fasb.org/topic&trid=2144416 + Details
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