Other Expense, Net - Schedule of Other Expense, Net (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2023	Dec. 31, 2022
Other Income and Expenses [Abstract]
Unrealized gains on company-owned life insurance contracts and investments held in rabbi trusts	$ (2.9)	$ (1.6)	$ (2.5)	$ (0.6)
Interest income	(0.2)	(0.1)	(0.3)	(0.2)
Foreign exchange losses	1.2	1.2	1.5	1.2
Pension earnings, interest and deferrals	3.5	2.5	6.9	4.9
Other	0.0	(0.1)	(0.1)	0.1
Total other expense, net	$ 1.6	$ 1.9	$ 5.5	$ 5.4