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Basic and Diluted Loss Per Common Share - Basic Income (Loss) Per Common Share to Diluted Income (Loss) Per Common Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Earnings Per Share [Abstract]    
Loss from continuing operations $ (42.0) $ (86.3)
Loss from continuing operations attributable to noncontrolling interest and redeemable noncontrolling interest 6.1 7.8
Loss from continuing operations attributable to INNOVATE Corp. (35.9) (78.5)
Less: Preferred dividends and deemed dividends from conversions 4.9 2.2
Loss from continuing operations attributable to INNOVATE common stockholders (40.8) (80.7)
Less: Loss from discontinued operations, net of tax 0.0 (149.9)
Loss from discontinued operations attributable to noncontrolling interest and redeemable noncontrolling interest 0.0 0.9
Loss from discontinued operations, net of tax and noncontrolling interest 0.0 (149.0)
Net loss attributable to common stockholders (40.8) (229.7)
Earnings allocable to common shares:    
Net loss from continuing operations attributable to common stock - Basic (40.8) (80.7)
Net loss from continuing operations attributable to common stock - Diluted (40.8) (80.7)
Net loss from discontinued operations attributable to common stock - Basic 0.0 (149.0)
Net loss from discontinued operations attributable to common stock - Diluted 0.0 (149.0)
Net loss attributable to common stock - basic (40.8) (229.7)
Net loss attributable to common stock - diluted $ (40.8) $ (229.7)
Denominator for basic and dilutive loss per share    
Weighted average common shares outstanding - basic (in shares) 77.5 77.1
Weighted average common shares outstanding - diluted (in shares) 77.5 77.1
Loss per share - continuing operations - basic and diluted    
Basic (in usd per share) $ (0.53) $ (1.05)
Diluted (in usd per share) (0.53) (1.05)
Loss per share - discontinued operations - basic and diluted    
Basic (in usd per share) 0 (1.93)
Diluted (in usd per share) 0 (1.93)
Loss per share - basic and diluted    
Basic (in usd per share) (0.53) (2.98)
Diluted (in usd per share) $ (0.53) $ (2.98)