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Segment Information (Tables) | 3 Months Ended
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Mar. 31, 2023
Segment Reporting [Abstract] |
Schedule of Revenue by reportable segment | The following table presents the Company’s revenues by transaction type based on revenue recognition pattern for the periods presented:
| Three Months Ended March 31,
| 2023 |  | 2022
Subscription revenues | $ | 393.2 |  |  | $ | 403.8 |
Re-occurring revenues | 107.7 |  |  | 114.5 |
Transactional and other revenues | 128.2 |  |  | 143.7 |
Deferred revenues adjustment | — |  |  | 0.2 |
Revenues, net | $ | 629.1 |  |  | $ | 662.2 |
The following table summarizes revenue by reportable segment for the periods indicated:
| Three Months Ended March 31,
| 2023 |  | 2022
Academia and Government | $ | 314.7 |  |  | $ | 311.8 |
Intellectual Property | 209.1 |  |  | 241.8 |
Life Sciences and Healthcare | 105.3 |  |  | 108.6 |
Total Revenues, net | $ | 629.1 |  |  | $ | 662.2 |
Schedule of Segment Reporting Information, by Segment | The following table presents segment profitability and a reconciliation to net income for the periods indicated:
| Three Months Ended March 31,
| 2023 |  | 2022
Academia and Government | $ | 125.4 |  |  | $ | 104.5 |
Intellectual Property | 94.6 |  |  | 117.6 |
Life Sciences and Healthcare | 32.7 |  |  | 40.2 |
Total Adjusted EBITDA | $ | 252.7 |  |  | $ | 262.3 |
Benefit (provision) for income taxes | 63.6 |  |  | (16.3) |
Depreciation and amortization | (172.6) |  |  | (176.4) |
Interest expense and amortization of debt discount, net | (73.6) |  |  | (59.5) |
Mark to market (loss) gain on financial instruments(1) | (1.1) |  |  | 100.4 |
Deferred revenues adjustment | — |  |  | 0.2 |
Transaction related costs(2) | (1.7) |  |  | (6.7) |
Share-based compensation expense | (41.2) |  |  | (37.0) |
Restructuring and impairment(3) | (9.4) |  |  | (11.7) |
Other(4) | 26.8 |  |  | 14.2 |
Net income | $ | 43.5 |  |  | $ | 69.5 |
Dividends on preferred shares | (18.8) |  |  | (18.7) |
Net income attributable to ordinary shares | $ | 24.7 |  |  | $ | 50.8 |
(1) Reflects mark-to-market adjustments on the Private Placement Warrants under ASC 815, Derivatives and Hedging. Refer to Note 8 - Fair Value Measurements for further information.
(2) Includes costs incurred to complete business combination transactions, including acquisitions, dispositions and capital market activities and include advisory, legal, and other professional and consulting costs.
(3) Primarily reflects severance and related benefit costs related to approved restructuring programs. Refer to Note 19 - Restructuring and Impairment for further information.
(4) The current year period primarily includes the gain on legal settlement, which was partially offset by a net loss on foreign exchange re-measurement. The prior year period includes a net gain on foreign exchange re-measurement and other individually insignificant items that do not reflect our ongoing operating performance. Refer to Note 15 - Other Operating Income, Net and Note 17 - Commitments and Contingencies for further information.

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- Definition Tabular disclosure of the profit or loss and total assets for each reportable segment. An entity discloses certain information on each reportable segment if the amounts (a) are included in the measure of segment profit or loss reviewed by the chief operating decision maker or (b) are otherwise regularly provided to the chief operating decision maker, even if not included in that measure of segment profit or loss. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 22 -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8736-108599 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 25 -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8813-108599 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=121556970&loc=d3e13816-109267 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 30 -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8906-108599 + Details
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