Interest Expense, Net - Components of Interest Expense, Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2020	Jun. 30, 2019	Jun. 30, 2018
Other Income and Expenses [Abstract]
Interest expense on borrowings	$ (62.5)	$ (45.9)	$ (42.4)
Interest income	(3.7)	(4.2)	(3.8)
Interest expense, net	$ (58.8)	$ (41.8)	$ (38.6)