Other (Income) Expense, Net (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2021	Dec. 31, 2020
Other Income and Expenses [Abstract]
Unrealized gains on company-owned life insurance contracts and investments held in rabbi trusts	$ (2.4)	$ (3.1)	$ (2.2)	$ (4.4)
Foreign exchange loss	0.3	0.8	0.6	3.5
Pension earnings, interest and deferrals	(4.5)	1.0	(9.1)	2.0
Total other (income) expense, net	$ (6.6)	$ (1.3)	$ (10.7)	$ 1.1