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Cost-reduction actions - Additional Information (Detail) | 3 Months Ended | 12 Months Ended
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Dec. 31, 2018 USD ($) employee | Sep. 30, 2018 USD ($) | Jun. 30, 2018 USD ($) | Mar. 31, 2018 USD ($) | Dec. 31, 2017 USD ($) | Sep. 30, 2017 USD ($) | Jun. 30, 2017 USD ($) | Mar. 31, 2017 USD ($) | Dec. 31, 2018 USD ($) | Dec. 31, 2017 USD ($) employee | Dec. 31, 2016 USD ($) employee
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs | $ 22,800,000 | $ (900,000) | $ 700,000 | $ (2,900,000) | $ 47,800,000 | $ 46,100,000 | $ 27,500,000 | $ 25,400,000 |  |  |
Idle leased facilities |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  | $ 0 | $ 4,200,000 | $ 1,400,000
Expense (benefit) for changes in estimates |  |  |  |  |  |  |  |  | 700,000 | 500,000 | 0
Net foreign currency translation adjustment | Other income (expense), net |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  |  | (11,800,000) |
2018 Cost-reduction Plan |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Number of employees | employee | 589 |  |  |  |  |  |  |  |  |  |
Charges related to work-force reductions | $ 27,700,000 |  |  |  |  |  |  |  |  |  |
2018 Cost-reduction Plan | Cost of revenue | Services |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs | 25,400,000 |  |  |  |  |  |  |  |  |  |
2018 Cost-reduction Plan | Selling, general and administrative expenses |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs | $ 2,300,000 |  |  |  |  |  |  |  |  |  |
2018 Cost-reduction Plan | U.S. |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Number of employees | employee | 264 |  |  |  |  |  |  |  |  |  |
Charges related to work-force reductions | $ 5,200,000 |  |  |  |  |  |  |  |  |  |
2018 Cost-reduction Plan | Non-U.S. |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Number of employees | employee | 325 |  |  |  |  |  |  |  |  |  |
Charges related to work-force reductions | $ 22,500,000 |  |  |  |  |  |  |  |  |  |
2015 Cost-reduction Plan |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Charges related to work-force reductions |  |  |  |  |  |  |  |  |  | 117,900,000 | 62,600,000
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  | 0 | 146,800,000 | 82,100,000
Expense (benefit) for changes in estimates |  |  |  |  |  |  |  |  | (8,000,000) |  |
Other expenses related to the cost-reduction effort |  |  |  |  |  |  |  |  |  | 28,900,000 | 19,500,000
2015 Cost-reduction Plan | Cost of revenue | Services |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  |  | 99,600,000 | 42,400,000
Expense (benefit) for changes in estimates |  |  |  |  |  |  |  |  | 7,300,000 |  |
2015 Cost-reduction Plan | Cost of revenue | Technology |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  |  | 400,000 |
2015 Cost-reduction Plan | Selling, general and administrative expenses |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  |  | 33,600,000 | 38,000,000
Expense (benefit) for changes in estimates |  |  |  |  |  |  |  |  | $ 700,000 |  |
2015 Cost-reduction Plan | Research and development expenses |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  |  | 1,400,000 | 1,700,000
2015 Cost-reduction Plan | Other income (expense), net |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Cost-reduction charges and other costs |  |  |  |  |  |  |  |  |  | 11,800,000 |
2015 Cost-reduction Plan | Idle leased facilities |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost-reduction effort |  |  |  |  |  |  |  |  |  | 4,700,000 | 1,400,000
2015 Cost-reduction Plan | Contract amendment and termination |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost-reduction effort |  |  |  |  |  |  |  |  |  | 5,400,000 | 4,100,000
2015 Cost-reduction Plan | 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 |  |  |  |  |  |  |  |  |  | 5,200,000 | 13,300,000
2015 Cost-reduction Plan | Net asset sales and write-offs |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost-reduction effort |  |  |  |  |  |  |  |  |  | 1,800,000 | $ 700,000
2015 Cost-reduction Plan | Net foreign currency translation adjustment |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Other expenses related to the cost-reduction effort |  |  |  |  |  |  |  |  |  | $ 11,800,000 |
2015 Cost-reduction Plan | U.S. |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Number of employees | employee |  |  |  |  |  |  |  |  |  | 542 | 351
Charges related to work-force reductions |  |  |  |  |  |  |  |  |  | $ 9,400,000 | $ 8,300,000
2015 Cost-reduction Plan | U.S. | Changes in estimates |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Charges related to work-force reductions |  |  |  |  |  |  |  |  |  | $ (1,300,000) | $ (1,300,000)
2015 Cost-reduction Plan | Non-U.S. |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Number of employees | employee |  |  |  |  |  |  |  |  |  | 2,274 | 1,048
Charges related to work-force reductions |  |  |  |  |  |  |  |  |  | $ 109,400,000 | $ 58,600,000
2015 Cost-reduction Plan | Non-U.S. | Changes in estimates |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Charges related to work-force reductions |  |  |  |  |  |  |  |  |  | (7,800,000) | $ (3,000,000)
2015 Cost-reduction Plan | Non-U.S. | Additional benefits provided in 2017 |  |  |  |  |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |  |  |  |  |
Charges related to work-force reductions |  |  |  |  |  |  |  |  |  | $ 8,200,000 |

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