Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2022	Mar. 31, 2021
Income Tax Disclosure [Abstract]
Income tax benefit	$ 0.8	$ 16.7	$ 16.8	$ 46.4
Income tax benefit as a percent of pre-tax income (loss)	(9.60%)	(29.20%)	(24.50%)	(21.20%)
Discrete tax benefits associated with pension settlement charges		$ 2.2
Tax benefit related to the impact of restructuring and asset impairment charges		1.8		$ 4.2
Tax benefit related to changes in prior year tax positions		$ 0.8		$ 0.8
Effective income tax rate reconciliation, excluding non-deductible expense, impairment losses, percent		29.30%		28.20%
Tax benefit associated with pension settlement charges				$ 2.2
Tax benefit associated with debt prepayment costs				2.0
Tax expense (benefit) attributable to employee share-based compensation				1.2
Impact of non-deductible goodwill impairment charge				$ 52.8
Operating loss carryforward, income tax benefit, CARES act			$ 7.0