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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 31, 2016
Mar. 31, 2015
Mar. 31, 2016
Mar. 31, 2015
Jun. 30, 2015
Income Tax Holiday [Line Items]          
Gross unrecognized tax benefits $ 29.6   $ 29.6   $ 35.2
Effective Income Tax Rate Reconciliation, Tax Credit, Foreign, Amount     4.4    
Gross unrecognized tax benefits that would impact the effective tax rate if recognized 18.7   18.7   23.9
Anticipated liability decrease for unrecognized tax benefits for uncertain tax positions 0.4   0.4    
Interest and penalties included in liability for unrecognized tax benefits 3.4   $ 3.4   $ 4.2
Interest and penalties included in income tax expense $ 0.8 $ 0.7      
Effective income tax rate 28.60% 29.70% 27.70% 30.20%  
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent     35.00%    
Income Tax Expense (Benefit), Intraperiod Tax Allocation $ 5.5   $ 6.1