Revenue Recognition - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2022	Mar. 31, 2021
Disaggregation of Revenue [Line Items]
Revenues	$ 1,533.7	$ 1,389.8	$ 3,986.2	$ 3,462.1
Distribution revenues
Disaggregation of Revenue [Line Items]
Revenues	472.4	447.0	1,240.9	1,122.0
Foreign currency exchange
Disaggregation of Revenue [Line Items]
Revenues	(9.1)	(3.4)	(14.6)	(18.3)
Recurring fee revenues
Disaggregation of Revenue [Line Items]
Revenues	1,011.7	873.0	2,560.2	2,195.2
Event-driven fee revenues
Disaggregation of Revenue [Line Items]
Revenues	58.7	73.1	199.8	163.2
Investor Communication Solutions
Disaggregation of Revenue [Line Items]
Revenues	1,161.4	1,097.1	2,908.2	2,618.6
Investor Communication Solutions | Regulatory
Disaggregation of Revenue [Line Items]
Revenues	321.7	285.3	653.5	564.8
Investor Communication Solutions | Data-driven fund solutions
Disaggregation of Revenue [Line Items]
Revenues	90.7	85.9	262.9	251.0
Investor Communication Solutions | Issuer
Disaggregation of Revenue [Line Items]
Revenues	46.3	44.1	90.6	82.6
Investor Communication Solutions | Customer communications
Disaggregation of Revenue [Line Items]
Revenues	171.5	161.6	460.6	435.0
Investor Communication Solutions | Total ICS Recurring fee revenues
Disaggregation of Revenue [Line Items]
Revenues	630.2	576.9	1,467.5	1,333.4
Investor Communication Solutions | Equity and other
Disaggregation of Revenue [Line Items]
Revenues	25.0	39.9	77.2	78.6
Investor Communication Solutions | Mutual funds
Disaggregation of Revenue [Line Items]
Revenues	33.7	33.2	122.6	84.6
Investor Communication Solutions | Total ICS Event-driven fee revenues
Disaggregation of Revenue [Line Items]
Revenues	58.7	73.1	199.8	163.2
Investor Communication Solutions | Distribution revenues
Disaggregation of Revenue [Line Items]
Revenues	472.4	447.0	1,240.9	1,122.0
Global Technology and Operations | Capital markets
Disaggregation of Revenue [Line Items]
Revenues	247.2	158.6	680.7	473.3
Global Technology and Operations | Wealth and investment management
Disaggregation of Revenue [Line Items]
Revenues	134.3	137.5	412.0	388.5
Global Technology and Operations | Total GTO Recurring fee revenues
Disaggregation of Revenue [Line Items]
Revenues	$ 381.5	$ 296.1	$ 1,092.6	$ 861.8