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Other Intangible Assets, net and Goodwill - Change in the Carrying Amount of Goodwill (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2022
Goodwill [Roll Forward]    
Goodwill, Beginning Balance   $ 7,904.9
Acquisition measurement period adjustments   6.0
Goodwill $ (42.8) (42.8)
Goodwill impairment(3) (4,407.9) (4,407.9)
Impact of foreign currency fluctuations(4)   (655.8)
Goodwill, Ending Balance 2,804.4 2,804.4
Goodwill, impairment loss 4,448.6 4,448.6
Academia & Government    
Goodwill [Roll Forward]    
Goodwill, Beginning Balance   2,862.6
Acquisition measurement period adjustments   2.9
Goodwill impairment(3) (1,745.8) (1,745.8)
Impact of foreign currency fluctuations(4)   (21.7)
Goodwill, Ending Balance 1,098.0 1,098.0
Life Sciences and Healthcare    
Goodwill [Roll Forward]    
Goodwill, Beginning Balance   1,177.3
Acquisition measurement period adjustments   3.1
Impact of foreign currency fluctuations(4)   (4.6)
Goodwill, Ending Balance 1,175.8 1,175.8
Life Sciences and Healthcare | Discontinued Operations, Disposed of by Sale | Brand Protection, AntiPiracy, and AntiFraud Solutions    
Goodwill [Roll Forward]    
Goodwill impairment(3)   0.0
IP Segment    
Goodwill [Roll Forward]    
Goodwill, Beginning Balance   3,865.0
Acquisition measurement period adjustments   0.0
Goodwill (42.8) (42.8)
Goodwill impairment(3)   (2,662.1)
Impact of foreign currency fluctuations(4)   (629.5)
Goodwill, Ending Balance $ 530.6 $ 530.6