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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2022
Dec. 31, 2021
Disaggregation of Revenue [Line Items]        
Revenues $ 1,292.9 $ 1,259.6 $ 2,576.2 $ 2,452.5
Distribution revenues        
Disaggregation of Revenue [Line Items]        
Revenues 414.9 401.4 829.7 768.4
Recurring revenues        
Disaggregation of Revenue [Line Items]        
Revenues 840.4 793.5 1,646.2 1,543.0
Event-driven revenues        
Disaggregation of Revenue [Line Items]        
Revenues 37.6 64.7 100.2 141.0
Investor Communication Solutions        
Disaggregation of Revenue [Line Items]        
Revenues 919.4 892.7 1,840.0 1,746.1
Investor Communication Solutions | Regulatory        
Disaggregation of Revenue [Line Items]        
Revenues 180.7 166.2 351.5 331.7
Investor Communication Solutions | Data-driven fund solutions        
Disaggregation of Revenue [Line Items]        
Revenues 96.4 88.5 188.9 171.8
Investor Communication Solutions | Issuer        
Disaggregation of Revenue [Line Items]        
Revenues 26.5 23.7 50.4 44.2
Investor Communication Solutions | Customer communications        
Disaggregation of Revenue [Line Items]        
Revenues 163.4 148.1 319.3 289.0
Investor Communication Solutions | Total ICS Recurring revenues        
Disaggregation of Revenue [Line Items]        
Revenues 466.9 426.5 910.1 836.7
Investor Communication Solutions | Equity and other        
Disaggregation of Revenue [Line Items]        
Revenues 25.2 24.6 54.7 52.2
Investor Communication Solutions | Mutual funds        
Disaggregation of Revenue [Line Items]        
Revenues 12.4 40.1 45.6 88.9
Investor Communication Solutions | Total ICS Event-driven revenues        
Disaggregation of Revenue [Line Items]        
Revenues 37.6 64.7 100.2 141.0
Investor Communication Solutions | Distribution revenues        
Disaggregation of Revenue [Line Items]        
Revenues 414.9 401.4 829.7 768.4
Global Technology and Operations | Capital markets        
Disaggregation of Revenue [Line Items]        
Revenues 235.3 221.0 462.0 429.6
Global Technology and Operations | Wealth and investment management        
Disaggregation of Revenue [Line Items]        
Revenues 138.2 145.9 274.2 276.8
Global Technology and Operations | Total GTO Recurring revenues        
Disaggregation of Revenue [Line Items]        
Revenues $ 373.5 $ 366.9 $ 736.2 $ 706.4