Interest Expense, Net - Components of Interest Expense, Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2021	Jun. 30, 2020	Jun. 30, 2019
Other Income and Expenses [Abstract]
Interest expense on borrowings	$ (57.5)	$ (62.5)	$ (45.9)
Interest income	2.2	3.7	4.2
Interest expense, net	$ (55.2)	$ (58.8)	$ (41.8)