Goodwill and Intangible Assets, net - Components Of Finite-Lived Intangible Assets (Details) - USD ($) $ in Millions	Sep. 30, 2022	Jun. 30, 2022	Jun. 30, 2021
Finite-Lived Intangible Assets [Line Items]
Total - gross	$ 4,699.8		$ 4,617.2
Total - accumulated amortization	(3,331.1)		(3,284.1)
Intangible assets, net	1,368.7	$ 1,333.1	1,333.1
Software and software licenses
Finite-Lived Intangible Assets [Line Items]
Total - gross	3,355.2		3,271.3
Total - accumulated amortization	(2,278.0)		(2,251.9)
Customer contracts and lists
Finite-Lived Intangible Assets [Line Items]
Total - gross	1,103.5		1,104.7
Total - accumulated amortization	(818.8)		(798.9)
Other intangibles
Finite-Lived Intangible Assets [Line Items]
Total - gross	241.1		241.2
Total - accumulated amortization	$ (234.3)		$ (233.3)