Other Non-Current Assets - Schedule of Other Non-Current Assets (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2022	Dec. 31, 2021	Jun. 30, 2022
Deferred Costs, Capitalized, Prepaid, and Other Assets Disclosure [Abstract]
Long-term investments	$ 228.6		$ 228.6		$ 221.6
ROU assets	211.5		211.5		222.8
Contract assets	110.2		110.2		118.5
Deferred sales commissions costs	111.9		111.9		114.2
Long-term broker fees	41.3		41.3		45.1
Deferred data center costs	17.1		17.1		19.0
Other	147.3		147.3		154.1
Total	867.9		867.9		895.3
Derivative asset	97.0		97.0		101.4
Deferred client conversion and start-up costs	1,437.9		1,437.9		1,232.3
Technology	1,423.4		1,423.4		1,224.7
Deferred sale inducement cost	14.5		14.5		$ 7.7
Amortization of deferred sales commissions and set-up costs	$ 24.1	$ 27.3	$ 48.0	$ 50.6