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Earnings per common share - Computation of Earnings (Loss) Per Common Share Attributable to Unisys Corporation (Detail) - USD ($)
$ / shares in Units, shares in Thousands
 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
Basic earnings (loss) per common share computation:                      
Net income (loss) from continuing operations attributable to Unisys Corporation                 $ (317,700,000) $ (92,200,000) $ 21,600,000
Income from discontinued operations, net of tax $ 1,600,000 $ 400,000 $ (2,100,000) $ 1,068,500,000 $ 20,200,000 $ 16,000,000.0 $ 25,500,000 $ 13,300,000 1,068,400,000 75,000,000.0 53,900,000
Net income (loss) attributable to Unisys Corporation $ (173,100,000) $ (12,900,000) $ (78,600,000) $ 1,015,300,000 $ (10,800,000) $ (13,200,000) $ 26,200,000 $ (19,400,000) $ 750,700,000 $ (17,200,000) $ 75,500,000
Weighted average shares (in shares)                 62,932 55,961 50,946
Basic earnings (loss) per share attributable to Unisys Corporation                      
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 earnings (loss) per common share computation:                      
Net income (loss) from continuing operations attributable to Unisys Corporation                 $ (317,700,000) $ (92,200,000) $ 21,600,000
Add interest expense on convertible senior notes, net of tax of zero                 0 0 0
Interest expense on convertible senior notes, tax                 0 0 0
Net income (loss) from continuing operations attributable to Unisys Corporation for diluted earnings per share                 (317,700,000) (92,200,000) 21,600,000
Income from discontinued operations, net of tax                 1,068,400,000 75,000,000.0 53,900,000
Net income (loss) attributable to Unisys Corporation for diluted earnings per share                 $ 750,700,000 $ (17,200,000) $ 75,500,000
Weighted average shares (in shares)                 62,932 55,961 50,946
Plus incremental shares from assumed conversions:                      
Employee stock plans (in shares)                 0 0 541
Convertible senior notes (in shares)                 0 0 0
Adjusted weighted average shares (in shares)                 62,932 55,961 51,487
Diluted earnings (loss) per common share attributable to Unisys Corporation                      
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
Stock options and restricted stock units                      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]                      
Anti-dilutive weighted-average securities (in shares)                 579 1,393 1,226
Common shares issuable upon conversion of the 5.50% convertible senior notes                      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]                      
Anti-dilutive weighted-average securities (in shares)                 3,425 16,578 21,868
Interest rate 5.50%               5.50%