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Other Non-Current Assets - Schedule of Other Non-Current Assets (Details) - USD ($)
$ in Millions
Mar. 31, 2017
Jun. 30, 2016
Deferred Costs, Capitalized, Prepaid, and Other Assets Disclosure [Abstract]    
Deferred client conversion and start-up costs $ 155.2 $ 139.4
Deferred data center costs 41.2 43.1
Long-term investments 60.5 48.5
Long-term broker fees 26.2 12.4
Other 25.9 18.4
Total $ 308.8 $ 261.8