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Intangible Assets, Net and Certain Cloud Computing Costs - Summary (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended 12 Months Ended
Jan. 01, 2022
Dec. 31, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Intangible assets              
Gross Value   $ 2,261,768 $ 2,370,592   $ 2,370,592   $ 2,261,768
Accumulated Amortization   (351,490) (516,329)   (516,329)   (351,490)
Net Carrying Value   1,910,278 1,854,263   1,854,263   $ 1,910,278
Amortization expense for intangible assets     58,200 $ 49,600 $ 171,500 $ 145,300  
Weighted Average              
Intangible assets              
Weighted Average Remaining Useful Life         10 years 8 months 12 days   12 years
Client relationships              
Intangible assets              
Gross Value   1,465,926 1,451,374   $ 1,451,374   $ 1,465,926
Accumulated Amortization   (199,866) (267,063)   (267,063)   (199,866)
Net Carrying Value   1,266,060 1,184,311   $ 1,184,311   $ 1,266,060
Client relationships | Minimum              
Intangible assets              
Useful life         2 years   2 years
Client relationships | Maximum              
Intangible assets              
Useful life         20 years   20 years
Client relationships | Weighted Average              
Intangible assets              
Weighted Average Remaining Useful Life         13 years 10 months 24 days   14 years 6 months
Trademarks              
Intangible assets              
Gross Value   326,392 324,098   $ 324,098   $ 326,392
Accumulated Amortization   (45,555) (84,385)   (84,385)   (45,555)
Net Carrying Value   $ 280,837 239,713   $ 239,713   $ 280,837
Trademarks | Minimum              
Intangible assets              
Useful life         2 years   3 years
Trademarks | Maximum              
Intangible assets              
Useful life         15 years   15 years
Trademarks | Weighted Average              
Intangible assets              
Weighted Average Remaining Useful Life 7 years 6 months 9 years 6 months     7 years 1 month 6 days   9 years 6 months
Capitalized software development costs              
Intangible assets              
Gross Value   $ 126,188 252,095   $ 252,095   $ 126,188
Accumulated Amortization   (40,767) (61,709)   (61,709)   (40,767)
Net Carrying Value   85,421 190,386   $ 190,386   $ 85,421
Capitalized software development costs | Minimum              
Intangible assets              
Useful life         3 years   3 years
Capitalized software development costs | Maximum              
Intangible assets              
Useful life         5 years   5 years
Capitalized software development costs | Weighted Average              
Intangible assets              
Weighted Average Remaining Useful Life         2 years 10 months 24 days   2 years 8 months 12 days
Technology              
Intangible assets              
Gross Value   343,262 343,025   $ 343,025   $ 343,262
Accumulated Amortization   (65,302) (103,172)   (103,172)   (65,302)
Net Carrying Value   $ 277,960 $ 239,853   $ 239,853   $ 277,960
Technology | Minimum              
Intangible assets              
Useful life         5 years   5 years
Technology | Maximum              
Intangible assets              
Useful life         7 years   7 years
Technology | Weighted Average              
Intangible assets              
Weighted Average Remaining Useful Life         4 years 9 months 18 days   5 years 7 months 6 days