Other Expense, Net (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2021	Mar. 31, 2020
Other Income and Expenses [Abstract]
Unrealized gains (losses) on company-owned life insurance contracts and investments held in rabbi trusts	$ 1.2	$ (3.9)	$ 5.6	$ (2.5)
Foreign exchange (loss) gain	(0.4)	0.7	(3.9)	1.0
Pension earnings, interest and deferrals	(0.2)	(0.7)	(2.2)	(2.2)
Pension settlement charge	(8.9)	0.0	(8.9)	0.0
Other	0.0	0.0	0.0	0.3
Total other expense, net	$ (8.3)	$ (3.9)	$ (9.4)	$ (3.4)