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Goodwill and Intangible Assets, Net - Schedule of Changes in Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2020
Goodwill [Roll Forward]      
Goodwill, gross   $ 3,720.1 $ 1,674.5
Additions $ 10.1 1,958.2  
Foreign currency translation and other (243.1) 87.7  
Fair value adjustments (2.3) (0.4)  
Accumulated impairment losses 0.0 0.0  
Goodwill 3,484.9 3,720.1  
Investor Communication Solutions      
Goodwill [Roll Forward]      
Goodwill, gross   1,056.1 1,039.5
Additions 0.0 0.0  
Foreign currency translation and other (12.4) 16.5  
Fair value adjustments 0.0 0.2  
Accumulated impairment losses 0.0 0.0  
Goodwill 1,043.7 1,056.1  
Global Technology and Operations      
Goodwill [Roll Forward]      
Goodwill, gross   2,664.0 $ 635.0
Additions 10.1 1,958.2  
Foreign currency translation and other (230.7) 71.2  
Fair value adjustments (2.3) (0.5)  
Accumulated impairment losses 0.0 0.0  
Goodwill $ 2,441.2 $ 2,664.0