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Segment Reporting -Revenues and adjusted income from operations for each of the Company’s segments (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2022
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Segment Reporting Disclosure [Line Items]        
Net revenues   $ 4,371,172 $ 4,022,211 $ 3,709,377
AOI   693,377 662,680 588,808
Total excluding business held for sale   4,359,199    
Adjusted Income Loss From Operations, Before Held For Sale Business   718,219    
Stock-based compensation   (77,373) (81,968) (74,008)
Amortization and impairment of acquired intangible assets (other than included above)   (42,566) (57,641) (43,648)
Acquisition-related expenses     (1,177) (2,650)
Foreign exchange gains (losses), net   15,392 12,669 7,482
Interest income (expense), net $ (52,204) (52,204) (51,434) (48,960)
Restructuring expenses   (38,815) (26,547) (26,547)
Impairment charge on assets classified as held for sale   32,575 0 0
Income tax expense   (111,832) (113,681) (92,201)
Net income   353,404 369,448 308,276
Disposal group, held-for-sale, not discontinued operations        
Segment Reporting Disclosure [Line Items]        
Revenue from operations held for sale   (11,973)    
Changes from operations held for sale   (24,842)    
Data-Tech-AI        
Segment Reporting Disclosure [Line Items]        
Net revenues   1,959,889 1,692,281 1,383,971
Digital Operations        
Segment Reporting Disclosure [Line Items]        
Net revenues   2,411,283 2,329,930 2,325,406
Operating segments        
Segment Reporting Disclosure [Line Items]        
Net revenues   4,463,130 4,005,474 3,732,673
AOI   655,252 650,491 574,302
Operating segments | Financial Services        
Segment Reporting Disclosure [Line Items]        
Net revenues   1,184,346 1,016,787 1,079,194
AOI   157,917 126,972 132,939
Operating segments | Consumer and Healthcare        
Segment Reporting Disclosure [Line Items]        
Net revenues   1,626,476 1,509,535 1,264,653
AOI   213,737 250,765 197,197
Operating segments | High Tech and Manufacturing        
Segment Reporting Disclosure [Line Items]        
Net revenues   1,652,308 1,479,152 1,388,826
AOI   283,598 272,754 244,166
Operating segments | Data-Tech-AI        
Segment Reporting Disclosure [Line Items]        
Net revenues   1,990,881 1,687,686 1,389,598
Operating segments | Data-Tech-AI | Financial Services        
Segment Reporting Disclosure [Line Items]        
Net revenues   532,901 402,508 389,291
Operating segments | Data-Tech-AI | Consumer and Healthcare        
Segment Reporting Disclosure [Line Items]        
Net revenues   741,350 666,800 513,775
Operating segments | Data-Tech-AI | High Tech and Manufacturing        
Segment Reporting Disclosure [Line Items]        
Net revenues   716,630 618,378 486,532
Operating segments | Digital Operations        
Segment Reporting Disclosure [Line Items]        
Net revenues   2,472,249 2,317,788 2,343,075
Operating segments | Digital Operations | Financial Services        
Segment Reporting Disclosure [Line Items]        
Net revenues   651,445 614,279 689,903
Operating segments | Digital Operations | Consumer and Healthcare        
Segment Reporting Disclosure [Line Items]        
Net revenues   885,126 842,735 750,878
Operating segments | Digital Operations | High Tech and Manufacturing        
Segment Reporting Disclosure [Line Items]        
Net revenues   935,678 860,774 902,294
Others        
Segment Reporting Disclosure [Line Items]        
Net revenues   (91,958) 16,737 (23,296)
AOI   38,125 12,189 14,506
Others | Data-Tech-AI        
Segment Reporting Disclosure [Line Items]        
Net revenues   (30,992) 4,595 (5,627)
Others | Digital Operations        
Segment Reporting Disclosure [Line Items]        
Net revenues   $ (60,966) $ 12,142 $ (17,669)