Segment Information - Summary of net sales and assets by geographic area (Details) - Madison Industries IAQ Solutions Corporation - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2026	Mar. 31, 2025	Dec. 31, 2025
Revenues from External Customers and Long-Lived Assets [Line Items]
Total net sales	$ 923.7	$ 690.4
Total property, plant and equipment	367.9		$ 371.7
U.S
Revenues from External Customers and Long-Lived Assets [Line Items]
Total net sales	819.7	578.7
Total property, plant and equipment	307.7		309.7
Americas, Excluding United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Total net sales	70.8	78.8
Total property, plant and equipment	47.4		49.1
Europe
Revenues from External Customers and Long-Lived Assets [Line Items]
Total net sales	19.5	18.1
Total property, plant and equipment	3.8		3.9
Asia Pacific
Revenues from External Customers and Long-Lived Assets [Line Items]
Total net sales	13.7	$ 14.8
Total property, plant and equipment	$ 9.0		$ 9.0