Other Expense (Income), Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2022
Other Income and Expenses [Abstract]
Unrealized (gains) losses on company-owned life insurance contracts and investments held in rabbi trusts	$ (5.8)	$ (3.3)	$ 4.8
Interest income	(1.8)	(0.6)	(0.1)
Foreign exchange losses	1.8	0.4	1.3
Pension earnings, interest and deferrals	14.4	10.0	(18.3)
Pension settlement charge	51.9	0.0	0.0
Other	0.0	0.0	(0.4)
Total other expense (income), net	$ 60.5	$ 6.5	$ (12.7)