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Fixed Assets, Net - Components of Fixed Assets, Net (Detail) - USD ($)
$ in Thousands
Dec. 31, 2021
Dec. 31, 2020
Property, Plant and Equipment [Line Items]    
Fixed assets, gross $ 482,374 $ 478,683
Less: accumulated depreciation and amortization (292,262) (262,659)
Fixed assets, net 190,112 216,024
Computer and communications equipment    
Property, Plant and Equipment [Line Items]    
Fixed assets, gross 96,472 92,577
Software, including software development costs    
Property, Plant and Equipment [Line Items]    
Fixed assets, gross 280,540 265,082
Leasehold improvements and other fixed assets    
Property, Plant and Equipment [Line Items]    
Fixed assets, gross $ 105,362 $ 121,024