Revenue Recognition - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Sep. 30, 2020	Sep. 30, 2019
Disaggregation of Revenue [Line Items]
Revenues	$ 1,017.4	$ 948.6
Distribution revenues
Disaggregation of Revenue [Line Items]
Revenues	332.2	313.3
Foreign currency exchange
Disaggregation of Revenue [Line Items]
Revenues	31.5	28.0
Recurring fee revenues
Disaggregation of Revenue [Line Items]
Revenues	671.2	623.2
Event-driven fee revenues
Disaggregation of Revenue [Line Items]
Revenues	45.5	40.1
Investor Communication Solutions
Disaggregation of Revenue [Line Items]
Revenues	752.9	702.6
Investor Communication Solutions | Total ICS Recurring fee revenues
Disaggregation of Revenue [Line Items]
Revenues	375.2	349.2
Investor Communication Solutions | Equity proxy
Disaggregation of Revenue [Line Items]
Revenues	40.1	29.8
Investor Communication Solutions | Mutual fund and exchange traded funds (“ETF”) interims
Disaggregation of Revenue [Line Items]
Revenues	73.6	65.3
Investor Communication Solutions | Customer communications and fulfillment
Disaggregation of Revenue [Line Items]
Revenues	173.5	170.9
Investor Communication Solutions | Other ICS
Disaggregation of Revenue [Line Items]
Revenues	88.0	83.2
Investor Communication Solutions | Total ICS Event-driven fee revenues
Disaggregation of Revenue [Line Items]
Revenues	45.5	40.1
Investor Communication Solutions | Equity and other
Disaggregation of Revenue [Line Items]
Revenues	18.3	17.5
Investor Communication Solutions | Mutual funds
Disaggregation of Revenue [Line Items]
Revenues	27.2	22.6
Investor Communication Solutions | Distribution revenues
Disaggregation of Revenue [Line Items]
Revenues	332.2	313.3
Global Technology and Operations | Total GTO Recurring fee revenues
Disaggregation of Revenue [Line Items]
Revenues	296.0	273.9
Global Technology and Operations | Equities and other
Disaggregation of Revenue [Line Items]
Revenues	252.4	230.9
Global Technology and Operations | Fixed income
Disaggregation of Revenue [Line Items]
Revenues	$ 43.6	$ 43.1