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Cost-reduction actions - Additional Information (Detail)
3 Months Ended 12 Months Ended
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