Other Expense (Income), Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2021
Other Income and Expenses [Abstract]
Unrealized (gains) loss on company owned life insurance contracts and investments held in rabbi trusts	$ (3.3)	$ 4.8	$ (7.6)
Interest income	(0.6)	(0.1)	0.0
Foreign exchange losses	0.4	1.3	3.7
Pension earnings, interest and deferrals expense (income)	10.0	(18.3)	0.9
Pension settlement charge	0.0	0.0	11.4
Other	0.0	(0.4)	0.0
Total other expense (income), net	$ 6.5	$ (12.7)	$ 8.4