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Quarterly financial information (unaudited) (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Quarterly Financial Information Disclosure [Abstract]                      
Revenue $ 576.9 $ 495.2 $ 438.8 $ 515.4 $ 546.8 $ 552.1 $ 569.4 $ 554.5 $ 2,026.3 $ 2,222.8 $ 2,251.2
Gross profit 175.1 119.9 74.9 113.1 116.3 140.0 152.6 125.1 483.0 534.0  
Income (loss) from continuing operations before income taxes (155.9) (7.2) (66.8) (41.9) (32.8) (15.0) 7.9 (20.7) (271.8) (60.6) 71.0
Income from discontinued operations, net of tax 1.6 0.4 (2.1) 1,068.5 20.2 16.0 25.5 13.3 1,068.4 75.0 53.9
Net income (loss) attributable to Unisys Corporation $ (173.1) $ (12.9) $ (78.6) $ 1,015.3 $ (10.8) $ (13.2) $ 26.2 $ (19.4) $ 750.7 $ (17.2) $ 75.5
Basic                      
Continuing operations (in dollars per share) $ (2.77) $ (0.21) $ (1.21) $ (0.85) $ (0.50) $ (0.50) $ 0.01 $ (0.64) $ (5.05) $ (1.65) $ 0.42
Discontinued Operations (in dollars per share) 0.02 0.01 (0.04) 17.06 0.33 0.27 0.50 0.26 16.98 1.34 1.06
Total (in dollars per share) (2.75) (0.20) (1.25) 16.21 (0.17) (0.23) 0.51 (0.38) 11.93 (0.31) 1.48
Diluted                      
Continuing operations (in dollars per share) (2.77) (0.21) (1.21) (0.85) (0.50) (0.50) 0.01 (0.64) (5.05) (1.65) 0.42
Discontinued operations (in dollars per share) 0.02 0.01 (0.04) 17.06 0.33 0.27 0.49 0.26 16.98 1.34 1.05
Total (in dollars per share) $ (2.75) $ (0.20) $ (1.25) $ 16.21 $ (0.17) $ (0.23) $ 0.50 $ (0.38) $ 11.93 $ (0.31) $ 1.47