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Stockholders' equity - Allocation of Stock-based Compensation Expense (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2015
Sep. 30, 2014
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Total stock-based compensation expense $ 17,870 $ 13,913 $ 62,560 $ 52,143
Total tax benefit recognized (7,323) (2,949) (22,867) (14,774)
Decrease in net income 10,547 10,964 39,693 37,369
Cost of Revenue [Member]        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Total stock-based compensation expense 410 233 1,043 555
Research and Development [Member]        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Total stock-based compensation expense 4,872 2,428 12,117 5,486
Selling and Marketing [Member]        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Total stock-based compensation expense 3,516 3,225 9,514 6,293
General and Administrative [Member]        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Total stock-based compensation expense $ 9,072 $ 8,027 $ 39,886 $ 39,809