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Stock-Based Compensation - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 31, 2017
Mar. 31, 2016
Mar. 31, 2017
Mar. 31, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation expense $ 11.9 $ 12.3 $ 34.7 $ 34.5
Related tax benefits 4.2 $ 4.6 12.3 $ 13.0
Unrecognized compensation cost related to non-vested stock options $ 13.0   13.0  
Unrecognized compensation cost of restricted stock awards     $ 45.6  
Amortization period of unrecognized compensation cost for non-vested stock options     2 years 10 months 24 days  
Amortization period of unrecognized compensation cost for restricted stock awards     1 year 8 months 12 days  
IT Services Agreement        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Commitments under agreement     $ 408.2  
EU IT Services Agreement        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Commitments under agreement     $ 26.8