Other Income (Expense), Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2020	Jun. 30, 2019	Jun. 30, 2018
Other Income and Expenses [Abstract]
Unrealized gains on company owned life insurance contracts and investments held in rabbi trusts	$ 0.1	$ 0.8	$ 1.5
Interest income	0.1	0.1	0.3
Foreign exchange	2.8	(0.4)	(0.7)
Pension earnings, interest and deferrals	(2.8)	(0.1)	(2.1)
Other	0.4	0.2	0.2
Total other income (expense), net	$ 0.6	$ 0.6	$ (0.8)