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Goodwill and Intangible Assets, Net - Schedule of Changes in Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Sep. 30, 2019
Jun. 30, 2018
Goodwill [Roll Forward]        
Goodwill, gross   $ 1,500.0   $ 1,254.9
Transfers   0.0    
Additions $ 201.5 247.7    
Fair value adjustments (9.0) 7.4    
Foreign currency translation and other (18.1) (10.0)    
Accumulated impairment losses 0.0 0.0    
Goodwill 1,674.5 1,500.0    
Investor Communication Solutions        
Goodwill [Roll Forward]        
Goodwill, gross   913.1   884.4
Transfers   (2.8)    
Additions 131.6 27.3    
Fair value adjustments (0.2) 7.4    
Foreign currency translation and other (5.1) (3.2)    
Accumulated impairment losses 0.0 0.0    
Goodwill 1,039.5 913.1 $ (2.8)  
Global Technology and Operations        
Goodwill [Roll Forward]        
Goodwill, gross   586.9   $ 370.5
Transfers   2.8    
Additions 69.9 220.4    
Fair value adjustments (8.8) 0.0    
Foreign currency translation and other (13.0) (6.8)    
Accumulated impairment losses 0.0 0.0    
Goodwill $ 635.0 $ 586.9 $ 2.8