Other Expense (Income), Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2021	Jun. 30, 2020	Jun. 30, 2019
Other Income and Expenses [Abstract]
Unrealized gains on company owned life insurance contracts and investments held in rabbi trusts	$ (7.6)	$ (0.1)	$ (0.8)
Interest income	0.0	(0.1)	(0.1)
Foreign exchange	3.7	(2.8)	0.4
Pension earnings, interest and deferrals	0.9	2.8	0.1
Pension settlement charge	11.4	0.0	0.0
Other	0.0	(0.4)	(0.2)
Total other expense (income), net	$ 8.4	$ (0.6)	$ (0.6)