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Other Intangible Assets, net and Goodwill (Tables) | 9 Months Ended
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Sep. 30, 2021 | Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract] |  |
Schedule of identifiable intangible assets | The following tables summarize the gross carrying amounts and accumulated amortization of the Company’s identifiable intangible assets by major class:
| September 30, 2021 |  | December 31, 2020
| Gross |  | Accumulated Amortization |  | Net |  | Gross |  | Accumulated Amortization |  | Net
Finite-lived intangible assets |  |  |  |  |  |  |  |  |  |  |
Customer relationships | $ | 5,501,710 |  |  | $ | (443,814) |  |  | $ | 5,057,896 |  |  | $ | 5,598,175 |  |  | $ | (261,350) |  |  | $ | 5,336,825 |
Databases and content | 1,853,364 |  |  | (555,447) |  |  | 1,297,917 |  |  | 1,848,041 |  |  | (464,683) |  |  | 1,383,358 |
Computer software | 714,904 |  |  | (298,333) |  |  | 416,571 |  |  | 658,976 |  |  | (209,611) |  |  | 449,365 |
Trade names | 14,742 |  |  | (5,190) |  |  | 9,552 |  |  | 18,606 |  |  | (2,360) |  |  | 16,246 |
Backlog | 29,100 |  |  | (9,894) |  |  | 19,206 |  |  | 29,216 |  |  | (5,905) |  |  | 23,311 |
Finite-lived intangible assets | 8,113,820 |  |  | (1,312,678) |  |  | 6,801,142 |  |  | 8,153,014 |  |  | (943,909) |  |  | 7,209,105 |
Indefinite-lived intangible assets |  |  |  |  |  |  |  |  |  |  |
Trade names | 162,939 |  |  | — |  |  | 162,939 |  |  | 161,245 |  |  | — |  |  | 161,245 |
Total intangible assets | $ | 8,276,759 |  |  | $ | (1,312,678) |  |  | $ | 6,964,081 |  |  | $ | 8,314,259 |  |  | $ | (943,909) |  |  | $ | 7,370,350 |
Schedule of weighted-average amortization period for finite-lived intangible assets |  |
Schedule of estimated amortization for five succeeding years |  |
Schedule of change in the carrying amount of goodwill | The change in the carrying amount of goodwill is shown below:
| Science Segment |  | Intellectual Property Segment (As Restated) |  | Consolidated Total (As Restated)
Balance as of December 31, 2019 | $ | 909,937 |  |  | $ | 418,108 |  |  | $ | 1,328,045 |
Acquisition | 499,199 |  |  | 4,002,695 |  |  | 4,501,894 |
Divestiture | — |  |  | (9,129) |  |  | (9,129) |
Impact of foreign currency fluctuations and other | 607 |  |  | 221,547 |  |  | 222,154 |
Balance as of December 31, 2020 | $ | 1,409,743 |  |  | $ | 4,633,221 |  |  | $ | 6,042,964 |
Acquisition(1) | 11,297 |  |  | 20,629 |  |  | 31,926 |
Impact of foreign currency fluctuations and other | 1,015 |  |  | (76,583) |  |  | (75,568) |
Balance as of September 30, 2021 | $ | 1,422,055 |  |  | $ | 4,577,267 |  |  | $ | 5,999,322 |

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- Definition Tabular disclosure of the characteristics, including initial carrying value, residual amount, weighted average useful life, of finite-lived intangible assets acquired during the period by major class. A major class is composed of intangible assets that can be grouped together because they are similar, either by nature or by their use in the operations of the company. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16265-109275 + Details
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- Definition Tabular disclosure of the amount of amortization expense expected to be recorded in succeeding fiscal years for finite-lived intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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