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Summary of Significant Accounting Policies - Revenue Recognition, Cash and Cash Equivalents, and Securities Borrowed and Loaned (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Revenue recognition                      
Additional fee on unspecified future software upgrades $ 128,746 $ 120,769 $ 128,477 $ 131,484 $ 126,747 $ 114,531 $ 121,581 $ 120,835 $ 509,476 $ 483,694 $ 469,052
Cash and Cash Equivalents                      
Maximum original maturity period of cash equivalents                 3 months