Other Expense (Income), Net (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2020
Other Income and Expenses [Abstract]
Unrealized loss (gains) on company owned life insurance contracts and investments held in rabbi trusts	$ 4.8	$ (7.6)	$ (0.1)
Interest income	(0.1)	0.0	(0.1)
Foreign exchange loss (gain)	1.3	3.7	(2.8)
Pension earnings, interest and deferrals (income) expense	(18.3)	0.9	2.8
Pension settlement charge	0.0	11.4	0.0
Other	(0.4)	0.0	(0.4)
Total other (income) expense, net	$ (12.7)	$ 8.4	$ (0.6)