Other Income (Expense), Net (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 31, 2019	Mar. 31, 2018	Mar. 31, 2019	Mar. 31, 2018
Other Income and Expenses [Abstract]
Unrealized gains (losses) on company-owned life insurance contracts and investments held in rabbi trusts	$ 2.0	$ (0.4)	$ 0.2	$ 1.1
Foreign exchange (loss) gain	(0.2)	0.2	(0.1)	(0.5)
Pension earnings, interest and deferrals	0.0	(0.5)	(0.1)	(1.6)
Other	0.1	0.2	0.1	0.3
Total other income (expense), net	$ 1.9	$ (0.5)	$ 0.1	$ (0.7)