Other Non-Current Assets - Schedule of Other Non-Current Assets (Details) - USD ($) $ in Millions	3 Months Ended
	Sep. 30, 2020	Sep. 30, 2019	Jun. 30, 2020
Deferred Costs, Capitalized, Prepaid, and Other Assets Disclosure [Abstract]
Deferred client conversion and start-up costs	$ 499.4		$ 433.8
ROU assets	264.5		292.6
Long-term investments	159.4		141.6
Deferred sales commissions costs	100.1		104.4
Contract assets	85.8		81.9
Long-term broker fees	43.5		32.8
Deferred data center costs	24.4		24.5
Other	28.9		30.2
Total	1,206.1		$ 1,141.9
Amortization of deferred sales commissions and set-up costs	$ 18.7	$ 17.3