Goodwill and Intangible Assets, net - Components of Finite-Lived Intangible Assets (Details) - USD ($) $ in Millions	Mar. 31, 2024	Jun. 30, 2023
Finite-Lived Intangible Assets [Line Items]
Total - gross	$ 5,119.1	$ 4,931.4
Total - accumulated amortization	(3,823.8)	(3,587.8)
Intangible assets, net	1,295.3	1,343.6
Software and software licenses
Finite-Lived Intangible Assets [Line Items]
Total - gross	3,712.0	3,548.9
Total - accumulated amortization	(2,593.5)	(2,442.6)
Customer contracts and lists
Finite-Lived Intangible Assets [Line Items]
Total - gross	1,165.1	1,140.6
Total - accumulated amortization	(989.6)	(907.5)
Other intangibles
Finite-Lived Intangible Assets [Line Items]
Total - gross	242.0	241.9
Total - accumulated amortization	$ (240.7)	$ (237.7)