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Revenues from Contracts with Customers (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2022
Mar. 31, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Disaggregation of Revenue [Line Items]          
Revenues $ 471,334   $ 485,322 $ 1,534,447 $ 1,416,659
United States          
Disaggregation of Revenue [Line Items]          
Revenues 403,526   412,137 1,234,242 1,200,884
United Kingdom          
Disaggregation of Revenue [Line Items]          
Revenues 36,915   42,094 204,803 124,605
Canada          
Disaggregation of Revenue [Line Items]          
Revenues 11,852   13,269 37,341 39,403
Ireland          
Disaggregation of Revenue [Line Items]          
Revenues 14,501   17,696 46,078 51,384
Luxembourg          
Disaggregation of Revenue [Line Items]          
Revenues 4,507     11,721  
Other          
Disaggregation of Revenue [Line Items]          
Revenues 33   126 262 383
Investment management fees from pooled investment products          
Disaggregation of Revenue [Line Items]          
Revenues 107,066   125,344 342,202 367,763
Investment management fees from investment management agreements          
Disaggregation of Revenue [Line Items]          
Revenues 105,427   118,121 328,575 340,488
Investment operations fees          
Disaggregation of Revenue [Line Items]          
Revenues 144,517   137,341 435,342 395,535
Investment processing fees - PaaS          
Disaggregation of Revenue [Line Items]          
Revenues 57,818   54,191 170,651 160,813
Investment processing fees - SaaS          
Disaggregation of Revenue [Line Items]          
Revenues 36,468   32,427 109,572 96,240
Professional services fees          
Disaggregation of Revenue [Line Items]          
Revenues 3,993   5,045 101,842 15,394
Account fees and other          
Disaggregation of Revenue [Line Items]          
Revenues 16,045   12,853 46,263 40,426
Private Banks          
Disaggregation of Revenue [Line Items]          
Revenues 122,660   123,018 460,392 364,302
Private Banks | United States          
Disaggregation of Revenue [Line Items]          
Revenues 81,628   77,260 244,472 231,203
Private Banks | United Kingdom          
Disaggregation of Revenue [Line Items]          
Revenues 27,186   28,767 171,042 83,514
Private Banks | Canada          
Disaggregation of Revenue [Line Items]          
Revenues 10,495   12,343 33,318 35,977
Private Banks | Ireland          
Disaggregation of Revenue [Line Items]          
Revenues 3,351   4,648 11,560 13,608
Private Banks | Luxembourg          
Disaggregation of Revenue [Line Items]          
Revenues 0     0  
Private Banks | Other          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Private Banks | Investment management fees from pooled investment products          
Disaggregation of Revenue [Line Items]          
Revenues 30,002   34,212 95,113 100,484
Private Banks | Investment management fees from investment management agreements          
Disaggregation of Revenue [Line Items]          
Revenues 633   605 1,504 1,681
Private Banks | Investment operations fees          
Disaggregation of Revenue [Line Items]          
Revenues 336   363 1,040 1,134
Private Banks | Investment processing fees - PaaS          
Disaggregation of Revenue [Line Items]          
Revenues 57,818   54,191 170,651 160,813
Private Banks | Investment processing fees - SaaS          
Disaggregation of Revenue [Line Items]          
Revenues 29,855   28,579 89,259 84,831
Private Banks | Professional services fees          
Disaggregation of Revenue [Line Items]          
Revenues 3,195   4,174 100,020 12,509
Private Banks | Account fees and other          
Disaggregation of Revenue [Line Items]          
Revenues 821   894 2,805 2,850
Private Banks | Professional services fees, one-time early termination fees          
Disaggregation of Revenue [Line Items]          
Revenues   $ 88,000      
Investment Advisors          
Disaggregation of Revenue [Line Items]          
Revenues 109,565   124,768 341,989 357,458
Investment Advisors | United States          
Disaggregation of Revenue [Line Items]          
Revenues 109,565   124,768 341,989 357,458
Investment Advisors | United Kingdom          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Canada          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Ireland          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Luxembourg          
Disaggregation of Revenue [Line Items]          
Revenues 0     0  
Investment Advisors | Other          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Investment management fees from pooled investment products          
Disaggregation of Revenue [Line Items]          
Revenues 63,688   77,123 203,171 224,816
Investment Advisors | Investment management fees from investment management agreements          
Disaggregation of Revenue [Line Items]          
Revenues 39,915   41,688 122,321 114,747
Investment Advisors | Investment operations fees          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Investment processing fees - PaaS          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Investment processing fees - SaaS          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Professional services fees          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Advisors | Account fees and other          
Disaggregation of Revenue [Line Items]          
Revenues 5,962   5,957 16,497 17,895
Institutional Investors          
Disaggregation of Revenue [Line Items]          
Revenues 78,260   85,759 248,582 255,957
Institutional Investors | United States          
Disaggregation of Revenue [Line Items]          
Revenues 65,571   68,810 204,836 203,322
Institutional Investors | United Kingdom          
Disaggregation of Revenue [Line Items]          
Revenues 9,729   13,327 33,761 41,091
Institutional Investors | Canada          
Disaggregation of Revenue [Line Items]          
Revenues 1,357   926 4,023 3,426
Institutional Investors | Ireland          
Disaggregation of Revenue [Line Items]          
Revenues 1,570   2,570 5,700 7,735
Institutional Investors | Luxembourg          
Disaggregation of Revenue [Line Items]          
Revenues 0     0  
Institutional Investors | Other          
Disaggregation of Revenue [Line Items]          
Revenues 33   126 262 383
Institutional Investors | Investment management fees from pooled investment products          
Disaggregation of Revenue [Line Items]          
Revenues 12,928   13,639 42,494 41,365
Institutional Investors | Investment management fees from investment management agreements          
Disaggregation of Revenue [Line Items]          
Revenues 60,887   71,964 192,559 213,249
Institutional Investors | Investment operations fees          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Institutional Investors | Investment processing fees - PaaS          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Institutional Investors | Investment processing fees - SaaS          
Disaggregation of Revenue [Line Items]          
Revenues 2,650   0 8,781 0
Institutional Investors | Professional services fees          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Institutional Investors | Account fees and other          
Disaggregation of Revenue [Line Items]          
Revenues 1,795   156 4,748 1,343
Investment Managers          
Disaggregation of Revenue [Line Items]          
Revenues 156,015   147,412 468,842 426,639
Investment Managers | United States          
Disaggregation of Revenue [Line Items]          
Revenues 141,928   136,934 428,303 396,598
Investment Managers | United Kingdom          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Managers | Canada          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Managers | Ireland          
Disaggregation of Revenue [Line Items]          
Revenues 9,580   10,478 28,818 30,041
Investment Managers | Luxembourg          
Disaggregation of Revenue [Line Items]          
Revenues 4,507     11,721  
Investment Managers | Other          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Managers | Investment management fees from pooled investment products          
Disaggregation of Revenue [Line Items]          
Revenues 81   32 288 105
Investment Managers | Investment management fees from investment management agreements          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Managers | Investment operations fees          
Disaggregation of Revenue [Line Items]          
Revenues 144,181   136,978 434,302 394,401
Investment Managers | Investment processing fees - PaaS          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investment Managers | Investment processing fees - SaaS          
Disaggregation of Revenue [Line Items]          
Revenues 3,963   3,848 11,532 11,409
Investment Managers | Professional services fees          
Disaggregation of Revenue [Line Items]          
Revenues 798   871 1,822 2,885
Investment Managers | Account fees and other          
Disaggregation of Revenue [Line Items]          
Revenues 6,992   5,683 20,898 17,839
Investments In New Businesses          
Disaggregation of Revenue [Line Items]          
Revenues 4,834   4,365 14,642 12,303
Investments In New Businesses | United States          
Disaggregation of Revenue [Line Items]          
Revenues 4,834   4,365 14,642 12,303
Investments In New Businesses | United Kingdom          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Canada          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Ireland          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Luxembourg          
Disaggregation of Revenue [Line Items]          
Revenues 0     0  
Investments In New Businesses | Other          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Investment management fees from pooled investment products          
Disaggregation of Revenue [Line Items]          
Revenues 367   338 1,136 993
Investments In New Businesses | Investment management fees from investment management agreements          
Disaggregation of Revenue [Line Items]          
Revenues 3,992   3,864 12,191 10,811
Investments In New Businesses | Investment operations fees          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Investment processing fees - PaaS          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Investment processing fees - SaaS          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Professional services fees          
Disaggregation of Revenue [Line Items]          
Revenues 0   0 0 0
Investments In New Businesses | Account fees and other          
Disaggregation of Revenue [Line Items]          
Revenues $ 475   $ 163 $ 1,315 $ 499