Financial Data by Segment - Schedule of Financial Data Segment Reporting Information (Details) $ in Millions	12 Months Ended
	Jun. 30, 2023 USD ($) Segment	Jun. 30, 2022 USD ($)	Jun. 30, 2021 USD ($)
Segment Reporting Information [Line Items]
Number of reportable segments | Segment	2
Revenues	$ 6,060.9	$ 5,709.1	$ 4,993.7
Earnings (loss) before income taxes	794.9	672.2	696.2
Assets	8,233.2	8,168.8	8,119.8
Capital expenditures	38.4	29.0	51.9
Depreciation and amortization	84.4	82.4	67.4
Amortization of acquired intangibles	214.4	250.2	153.7
Amortization of other assets	126.2	131.4	113.6
Investor Communication Solutions
Segment Reporting Information [Line Items]
Revenues	4,535.6	4,256.6	3,820.2
Global Technology and Operations
Segment Reporting Information [Line Items]
Revenues	6,060.9	5,709.1	4,993.7
Operating Segments | Investor Communication Solutions
Segment Reporting Information [Line Items]
Revenues	4,535.6	4,256.6	3,820.2
Earnings (loss) before income taxes	811.4	724.7	594.6
Assets	2,433.3	2,505.3	2,517.6
Capital expenditures	28.4	15.9	42.3
Depreciation and amortization	37.9	38.0	36.9
Amortization of acquired intangibles	55.5	68.7	86.0
Amortization of other assets	41.1	39.5	39.4
Operating Segments | Global Technology and Operations
Segment Reporting Information [Line Items]
Revenues	1,525.2	1,452.4	1,173.5
Earnings (loss) before income taxes	183.9	139.4	194.9
Assets	5,313.9	5,149.1	5,162.3
Capital expenditures	3.8	7.0	3.0
Depreciation and amortization	18.3	19.4	12.7
Amortization of acquired intangibles	158.9	181.5	66.2
Amortization of other assets	68.3	75.4	58.0
Other
Segment Reporting Information [Line Items]
Revenues	0.0	0.0	0.0
Earnings (loss) before income taxes	(200.5)	(191.9)	(93.3)
Assets	486.0	514.4	439.9
Capital expenditures	6.1	6.1	6.7
Depreciation and amortization	28.3	25.1	17.8
Amortization of acquired intangibles	0.0	0.0	1.5
Amortization of other assets	$ 16.9	$ 16.5	$ 16.1