Goodwill and Other Intangible Assets, Net - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	Jun. 30, 2023	Jun. 30, 2022
Other intangible assets
Gross Carrying Amount	$ 115.7	$ 115.7
Accumulated Amortization	(87.0)	(80.5)
Other intangibles, net	28.7	35.2
Trademarks and trade names
Other intangible assets
Gross Carrying Amount	29.9	29.9
Accumulated Amortization	(26.3)	(25.3)
Other intangibles, net	$ 3.6	4.6
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	(53.5)	(48.8)
Other intangibles, net	$ 17.3	22.0
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	(3.5)	(3.1)
Other intangibles, net	$ 0.1	0.5
Technology | Maximum
Other intangible assets
Useful Life (in Years)	11 years
Patents
Other intangible assets
Gross Carrying Amount	$ 11.4	11.4
Accumulated Amortization	(3.7)	(3.3)
Other intangibles, net	$ 7.7	$ 8.1
Patents | Maximum
Other intangible assets
Useful Life (in Years)	15 years