Property, Plant, and Equipment - Schedule of (Details) - Madison Industries IAQ Solutions Corporation - USD ($) $ in Millions	Mar. 31, 2026	Dec. 31, 2025
Property, Plant and Equipment [Line Items]
Right-of-use assets - finance leases	$ 10.3	$ 9.9
Total property, plant and equipment	568.9	561.3
Less: Accumulated depreciation	(201.0)	(189.6)
Property, plant and equipment, net	367.9	371.7
Land
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	26.3	26.2
Buildings and improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	176.0	176.0
Machinery and equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	323.1	319.8
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 33.2	$ 29.4