Leases - Supplemental Balance Sheet Information (Details) - Madison Industries IAQ Solutions Corporation - USD ($) $ in Millions	Mar. 31, 2026	Dec. 31, 2025
Lessee, Lease, Description [Line Items]
Operating Lease, ROU assets, net	$ 135.7	$ 106.8
Operating Lease, Current lease liabilities	22.1	19.9
Operating Lease, Long-term lease liabilities	120.2	92.2
Operating lease liability	142.3	112.1
Finance Leases, ROU assets, net	6.1	5.6
Finance Leases, Current lease liabilities	2.3	2.1
Finance Leases, Long-term lease liabilities	3.9	3.6
Finance Leases, Total finance lease liabilities	$ 6.2	$ 5.7