Other Expense (Income), Net (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022
Other Income and Expenses [Abstract]
Unrealized (gains) losses on company-owned life insurance contracts and investments held in rabbi trusts	$ (1.5)	$ 2.2	$ (2.1)	$ 0.0
Foreign exchange (gain) losses	(0.1)	0.7	1.1	1.3
Interest income	(0.1)	0.0	(0.2)	0.0
Pension earnings, interest and deferrals	2.5	(4.5)	7.5	(13.7)
Other	0.0	0.2	0.1	0.1
Total other expense (income), net	$ 0.8	$ (1.8)	$ 6.2	$ (12.5)