Other (Expense) Income, Net (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2020	Mar. 31, 2019
Other Income and Expenses [Abstract]
Unrealized (losses) gains on company-owned life insurance contracts and investments held in rabbi trusts	$ (3.9)	$ 2.0	$ (2.5)	$ 0.2
Foreign exchange gain (loss)	0.7	(0.2)	1.0	(0.1)
Pension earnings, interest and deferrals	(0.7)	0.0	(2.2)	(0.1)
Other	0.0	0.1	0.3	0.1
Total other (expense) income, net	$ (3.9)	$ 1.9	$ (3.4)	$ 0.1