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Cost reduction actions - Additional Information (Detail) $ in Millions | 3 Months Ended | 12 Months Ended | 36 Months Ended
--- | --- | --- | ---
Dec. 31, 2017 USD ($) | Sep. 30, 2017 USD ($) | Jun. 30, 2017 USD ($) | Mar. 31, 2017 USD ($) | Dec. 31, 2016 USD ($) | Sep. 30, 2016 USD ($) | Jun. 30, 2016 USD ($) | Mar. 31, 2016 USD ($) | Dec. 31, 2017 USD ($) employee | Dec. 31, 2016 USD ($) employee | Dec. 31, 2015 USD ($) employee | Dec. 31, 2017 USD ($)
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges | $ 47.8 | $ 46.1 | $ 27.5 | $ 25.4 | $ 13.1 | $ 31.9 | $ 10.2 | $ 26.9 | $ 146.8 | $ 82.1 | $ 118.5 | $ 347.4
Severance costs |  |  |  |  |  |  |  |  | 117.9 | 62.6 | 78.8 |
Other expenses related to the cost reduction effort |  |  |  |  |  |  |  |  | 28.9 | 19.5 | 39.7 |
Asset impairment charges |  |  |  |  |  |  |  |  |  |  | 20.2 |
Cost of revenue | Services |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges |  |  |  |  |  |  |  |  | 99.6 | 42.4 | 52.3 |
Cost of revenue | Technology |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges |  |  |  |  |  |  |  |  | 0.4 |  | 0.3 |
Selling, general and administrative expenses |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges |  |  |  |  |  |  |  |  | 33.6 | 38.0 | 53.5 |
Research and development expenses |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges |  |  |  |  |  |  |  |  | 1.4 | 1.7 | 12.4 |
Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges |  |  |  |  |  |  |  |  | 11.8 |  |  |
Idle leased facilities |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges |  |  |  |  |  |  |  |  | 4.2 | 1.4 | 0.0 |
Other expenses related to the cost reduction effort |  |  |  |  |  |  |  |  | 4.7 | 1.4 |  |
Contract amendment and termination |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost reduction effort |  |  |  |  |  |  |  |  | 5.4 | 4.1 |  |
Professional fees and other expenses related to the cost reduction effort |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost reduction effort |  |  |  |  |  |  |  |  | 5.2 | 13.3 | 19.5 |
Net asset sales and write-offs |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost reduction effort |  |  |  |  |  |  |  |  | 1.8 | 0.7 |  |
Net foreign currency translation adjustment |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost reduction effort |  |  |  |  |  |  |  |  | 11.8 |  |  |
Net foreign currency translation adjustment | Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Restructuring charges |  |  |  |  |  |  |  |  | 11.8 |  |  |
United States |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Severance costs |  |  |  |  |  |  |  |  | $ 9.4 | $ 8.3 | $ 27.9 |
Number of employees | employee |  |  |  |  |  |  |  |  | 542 | 351 | 700 |
United States | Changes in estimates |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Severance costs |  |  |  |  |  |  |  |  | $ (1.3) | $ (1.3) |  |
Non-US |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Severance costs |  |  |  |  |  |  |  |  | $ 109.4 | $ 58.6 | $ 50.9 |
Number of employees | employee |  |  |  |  |  |  |  |  | 2,274 | 1,048 | 782 |
Non-US | Changes in estimates |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Severance costs |  |  |  |  |  |  |  |  | $ (7.8) | $ (3.0) |  |
Non-US | Additional benefits provided in 2017 |  |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Severance costs |  |  |  |  |  |  |  |  | $ 8.2 |  |  |

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