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Goodwill and Other Intangible Assets - Other Intangible Assets Subject to Amortization (Details) - Madison Industries IAQ Solutions Corporation - USD ($)
$ in Millions
Mar. 31, 2026
Dec. 31, 2025
Finite-Lived Intangible Assets [Line Items]    
Accumulated amortization $ (661.1) $ (621.0)
Trademarks    
Indefinite-Lived Intangible Assets [Line Items]    
Total 1,299.6 1,300.7
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 2,071.5 2,072.8
Accumulated amortization (406.4) (376.2)
Total 1,665.1 1,696.6
Technology    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 364.0 365.8
Accumulated amortization (147.9) (138.6)
Total 216.1 227.2
Patents    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 16.0 16.0
Accumulated amortization (12.7) (12.3)
Total 3.3 3.7
Backlog and Other    
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount 99.5 97.5
Accumulated amortization (94.1) (93.9)
Total $ 5.4 $ 3.6