Pension and Post-retirement Benefits (Details) $ in Millions	3 Months Ended	12 Months Ended
	Sep. 30, 2022 USD ($) plan	Jun. 30, 2022 USD ($)	Jun. 30, 2021 USD ($)
Defined Benefit Plan Disclosure [Line Items]
Number of defined benefit pension plans | plan	2
Pension Plan
Defined Benefit Plan Disclosure [Line Items]
Contributions by employer		$ 2.5
Pension Plan | United States
Defined Benefit Plan Disclosure [Line Items]
Contributions by employer	$ 0.0	1.5
Expected future contributions for current fiscal year	1.4		$ 1.4
Expected future contributions for current fiscal year, after legislation		0.6
Pension Plan | Foreign Plan
Defined Benefit Plan Disclosure [Line Items]
Contributions by employer	0.2	$ 1.0
Expected future contributions for current fiscal year	$ 0.8