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Shareholders' Equity - Changes in Ordinary and Treasury Shares (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 9 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2020
Mar. 31, 2019
Beginning Balance $ 5,402.9 $ 626.8 $ 5,674.7 $ 695.4
Settlement of forward contracts to purchase own equity to meet share-based incentive plans, net of tax       0.0
Purchase of treasury shares   (11.0) (11.3) (32.2)
Issuance of treasury shares under dividend reinvestment plan       13.0
Share buy-back/cancellations (255.6)   (478.2)  
Ending Balance 4,802.8 503.3 $ 4,802.8 $ 503.3
Ordinary Shares        
Beginning Balance     1,625.9 1,158.1
Beginning Balance 16.1 $ 0.0 $ 16.3 $ 0.0
Share buy-back/cancellations     (51.5)  
Share buy-back/cancellations $ (0.3)   $ (0.5)  
Ending Balance 1,574.4 1,158.1 1,574.4 1,158.1
Ending Balance $ 15.8 $ 0.0 $ 15.8 $ 0.0
Treasury Shares        
Beginning Balance     1.4 0.9
Beginning Balance $ (11.4) (12.2) $ (16.1) $ (10.7)
Options exercised and shares vested     (1.4) (3.7)
Options exercised and shares vested     $ 16.0 $ 37.5
Settlement of forward contracts to purchase own equity to meet share base incentive plans, net of tax       2.5
Settlement of forward contracts to purchase own equity to meet share-based incentive plans, net of tax       $ (25.1)
Purchase of treasury shares     1.1 3.1
Purchase of treasury shares   $ (11.0) $ (11.3) $ (32.2)
Issuance of treasury shares under dividend reinvestment plan       (1.3)
Issuance of treasury shares under dividend reinvestment plan       $ 13.0
Ending Balance 1.1 1.5 1.1 1.5
Ending Balance $ (11.4) $ (17.5) $ (11.4) $ (17.5)