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Financial Data by Segment - Schedule of Financial Data Segment Reporting Information (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2022
Segment Reporting Information [Line Items]      
Revenues $ 6,506.8 $ 6,060.9 $ 5,709.1
Earnings (loss) before income taxes 877.4 794.9 672.2
Assets 8,242.4 8,233.2 8,168.8
Capital expenditures 57.4 38.4 29.0
Depreciation and amortization 119.8 84.4 82.4
Amortization of acquired intangibles 200.3 214.4 250.2
Amortization of other assets 157.8 126.2 131.4
Investor Communication Solutions      
Segment Reporting Information [Line Items]      
Revenues 4,857.9 4,535.6 4,256.6
Operating Segments | Investor Communication Solutions      
Segment Reporting Information [Line Items]      
Revenues 4,857.9 4,535.6 4,256.6
Earnings (loss) before income taxes 950.4 811.4 724.7
Assets 2,522.3 2,433.3 2,505.3
Capital expenditures 39.1 28.4 15.9
Depreciation and amortization 40.1 37.9 38.0
Amortization of acquired intangibles 45.4 55.5 68.7
Amortization of other assets 38.5 41.1 39.5
Operating Segments | Global Technology and Operations      
Segment Reporting Information [Line Items]      
Revenues 1,648.9 1,525.2 1,452.4
Earnings (loss) before income taxes 173.3 183.9 139.4
Assets 5,124.9 5,313.9 5,149.1
Capital expenditures 13.2 3.8 7.0
Depreciation and amortization 49.4 18.3 19.4
Amortization of acquired intangibles 154.9 158.9 181.5
Amortization of other assets 102.6 68.3 75.4
Other      
Segment Reporting Information [Line Items]      
Revenues 0.0 0.0 0.0
Earnings (loss) before income taxes (246.3) (200.5) (191.9)
Assets 595.2 486.0 514.4
Capital expenditures 5.0 6.1 6.1
Depreciation and amortization 30.3 28.3 25.1
Amortization of acquired intangibles 0.0 0.0 0.0
Amortization of other assets $ 16.7 $ 16.9 $ 16.5