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Product and Geographic Sales Information (Tables)
9 Months Ended
Sep. 30, 2021
Segment Reporting [Abstract]  
Schedule of Revenue by reportable segment The tables below show the Company’s disaggregated revenue for the periods presented:
Three Months Ended September 30,
20212020
Subscription revenues$246,467 $222,069 
Transactional revenues85,354 64,398 
Re-occurring revenues110,368 — 
Total revenues, gross442,189 286,467 
Deferred revenues adjustment (1)
(72)(2,107)
Total revenues, net$442,117 $284,360 
(1) Reflects the deferred revenue adjustment as a result of purchase accounting.
Nine Months Ended September 30,
20212020
Subscription revenues$725,121 $631,873 
Transactional revenues259,300 174,000 
Re-occurring revenues336,236 — 
Total revenues, gross1,320,657 805,873 
Deferred revenues adjustment (1)
(4,465)(7,421)
Total revenues, net$1,316,192 $798,452 
(1) Reflects the deferred revenue adjustment as a result of purchase accounting.
The following table summarizes revenue by reportable segment for the periods indicated:
Three Months Ended September 30,
20212020
Science Segment$200,821 $188,701 
Intellectual Property Segment
241,296 95,659 
Total Revenues$442,117 $284,360 
Nine Months Ended September 30,
20212020
Science Segment$594,380 $514,774 
Intellectual Property Segment
721,812 283,678 
Total Revenues$1,316,192 $798,452 
Schedule of Segment Reporting Information, by Segment
Adjusted EBITDA by segment

The following table presents segment profitability and a reconciliation to net income for the periods indicated:
Three Months Ended September 30,
20212020
(As Restated)
Science Segment Adjusted EBITDA$113,771 $83,310 
Intellectual Property Segment Adjusted EBITDA76,225 24,897 
Total Adjusted EBITDA$189,996 $108,207 
(Provision) benefit for income taxes(3,579)(4,325)
Depreciation and amortization(130,683)(68,614)
Interest, net(65,194)(20,244)
Deferred revenues adjustment(72)(2,107)
Transaction related costs(11,851)(34,938)
Share-based compensation expense(11,997)(6,796)
Restructuring and impairment (15,621)(3,192)
Mark to market adjustment on financial instruments83,013 (144,753)
Other(10,700)(5,224)
Net income (loss)$23,312 $(181,986)
Dividends on preferred shares(22,431)— 
Net income (loss) attributable to ordinary shares$881 $(181,986)
Nine Months Ended September 30,
20212020
(As Restated)
Science Segment Adjusted EBITDA$305,119 $226,551 
Intellectual Property Segment Adjusted EBITDA238,696 59,997 
Total Adjusted EBITDA$543,815 $286,548 
Provision for income taxes(18,016)(13,693)
Depreciation and amortization(392,513)(176,200)
Interest, net(141,156)(72,306)
Deferred revenues adjustment(4,465)(7,421)
Transaction related costs1,599 (70,154)
Share-based compensation expense(38,518)(31,121)
Restructuring and impairment (121,988)(26,792)
Mark to market adjustment on financial instruments113,207 (224,175)
Other(24,817)(1,586)
Net loss$(82,852)$(336,900)
Dividends on preferred shares(22,431)— 
Net loss attributable to ordinary shares$(105,283)$(336,900)