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EARNINGS PER SHARE (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 3 Months Ended 6 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Earnings Per Share [Abstract]        
Net Income (Loss) Attributable to Parent     $ 120.1 $ 298.7
Net loss attributable to noncontrolling interests $ (1.9) $ (2.2) (2.7) (4.5)
Net income attributable to Olin Corporation $ 74.2 $ 146.9 $ 122.8 $ 303.2
Basic shares 118.5 127.4 119.1 129.2
Basic net income attributable to Olin Corporation per share $ 0.63 $ 1.15 $ 1.03 $ 2.35
Earnings Per Share, Diluted [Abstract]        
Basic shares 118.5 127.4 119.1 129.2
Stock-based compensation 1.7 3.0 1.9 3.2
Diluted shares 120.2 130.4 121.0 132.4
Diluted net income attributable to Olin Corporation per share $ 0.62 $ 1.13 $ 1.01 $ 2.29
Antidilutive Securities Excluded from Computation of Earnings Per Share, Shares 2.0 1.3 2.0 1.3