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Basic and Diluted Loss Per Common Share - Schedule of Calculation of Basic Loss Per Common Share to Diluted Loss Per Common Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 3 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Earnings Per Share [Abstract]    
Net loss $ (20.1) $ (8.0)
Net loss (income) attributable to non-controlling interests and redeemable non-controlling interests 2.7 (1.0)
Net loss attributable to INNOVATE Corp. (17.4) (9.0)
Less: Preferred dividends 0.3 1.2
Net loss attributable to common stockholders, basic (17.7) (10.2)
Net loss attributable to common stockholders, diluted $ (17.7) $ (10.2)
Weighted average common shares outstanding - basic (in shares) 78.7 77.7
Weighted average common shares outstanding - diluted (in shares) 78.7 77.7
Loss per share - basic and diluted    
Loss per share - basic (in usd per share) $ (0.22) $ (0.13)
Loss per share - diluted (in usd per share) $ (0.22) $ (0.13)