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Segment Information - Adjusted EBITDA by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Segment Reporting Information [Line Items]    
Total Adjusted EBITDA $ 252.7 $ 262.3
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 gain (loss) on financial instruments (1.1) 100.4
Deferred revenues adjustment 0.0 0.2
Transaction related costs (1.7) (6.7)
Share-based compensation expense (41.2) (37.0)
Restructuring and impairment (9.4) (11.7)
Other 26.8 14.2
Net (loss) income 43.5 69.5
Dividends on preferred shares (18.8) (18.7)
Net income (loss) attributable to ordinary shares 24.7 50.8
Academia and Government    
Segment Reporting Information [Line Items]    
Total Adjusted EBITDA 125.4 104.5
Life Sciences and Healthcare    
Segment Reporting Information [Line Items]    
Total Adjusted EBITDA 32.7 40.2
Intellectual Property    
Segment Reporting Information [Line Items]    
Total Adjusted EBITDA $ 94.6 $ 117.6