Goodwill and Other Intangible Assets, Net - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 30, 2022	Jun. 30, 2021
Other intangible assets
Gross Carrying Amount	$ 115.7	$ 115.7
Accumulated Amortization	(80.5)	(72.6)
Other intangibles, net	35.2	43.1
Trademarks and trade names
Other intangible assets
Gross Carrying Amount	29.9	29.9
Accumulated Amortization	(25.3)	(24.3)
Other intangibles, net	$ 4.6	5.6
Trademarks and trade names | Minimum
Other intangible assets
Useful Life (in Years)	15 years
Trademarks and trade names | Maximum
Other intangible assets
Useful Life (in Years)	30 years
Customer relationships
Other intangible assets
Gross Carrying Amount	$ 70.8	70.8
Accumulated Amortization	(48.8)	(44.1)
Other intangibles, net	$ 22.0	26.7
Customer relationships | Minimum
Other intangible assets
Useful Life (in Years)	10 years
Customer relationships | Maximum
Other intangible assets
Useful Life (in Years)	15 years
Technology
Other intangible assets
Gross Carrying Amount	$ 3.6	3.6
Accumulated Amortization	(3.1)	(2.8)
Other intangibles, net	$ 0.5	0.8
Technology | Minimum
Other intangible assets
Useful Life (in Years)	10 years
Technology | Maximum
Other intangible assets
Useful Life (in Years)	15 years
Patents
Other intangible assets
Gross Carrying Amount	$ 11.4	11.4
Accumulated Amortization	(3.3)	(1.4)
Other intangibles, net	$ 8.1	$ 10.0
Patents | Minimum
Other intangible assets
Useful Life (in Years)	14 years
Patents | Maximum
Other intangible assets
Useful Life (in Years)	20 years