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Share-Based Compensation (Weighted Average Assumptions for Options Granted) (Details) - $ / shares
12 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2017
Share-based Payment Arrangement, Noncash Expense [Abstract]      
Expected term (years) 4 years 5 years 5 years
Expected volatility 32.93% 30.70% 30.88%
Risk-free interest rate 2.84% 2.17% 1.84%
Dividend yield 0.00% 0.00% 0.00%
Weighted-average fair value per option (in dollars per share) $ 11.86 $ 10.60 $ 11.26