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Recent Accounting Pronouncements - Quantitative Effect of Topics 606 and 340-40 Adoption (Details) - USD ($)
$ in Thousands
 9 Months Ended 12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2019
Dec. 31, 2018
Jan. 01, 2019
Dec. 31, 2017
Assets, Current [Abstract]            
Cash and cash equivalents $ 137,598   $ 121,101 $ 81,183    
Accounts receivable, net     204,501 184,565    
Prepaid income taxes 7,307   4,543 5,085    
Prepaid and other current assets [1]     23,413 12,390    
Total current assets 338,910   353,558 283,223    
Property and equipment, net     29,632 29,393    
Intangible assets, net 46,560   46,313 54,001    
Goodwill 542,239   480,065 446,318   $ 336,982
Investment in joint venture     1,725      
Deferred income taxes 44,543   51,068 81,066    
Other assets 37,689   32,238 [1] 29,595 [1]    
Total assets 1,090,497   994,599 923,596    
Liabilities, Current [Abstract]            
Accounts payable 15,086   17,669 8,567    
Accruals and other current liabilities     167,517 136,699    
Deferred revenues 173,578   204,991 287,682    
Income taxes payable 5,100   2,236 2,794    
Total current liabilities 422,259   392,413 435,742    
Total carrying value of debt 589,583   233,750 258,750    
Deferred revenues 6,322   8,154 49,769    
Deferred income taxes 9,502   8,260 10,470    
Income taxes payable 7,874   8,140 12,904    
Other liabilities 15,229   9,263 8,530    
Total liabilities 1,083,324   659,980 776,165    
Stockholders' Equity Attributable to Parent [Abstract]            
Class A Common Stock, $0.01 par value, authorized 100,000,000 shares; issued 11,601,757 shares as of September 30, 2020 and December 31, 2019, and Class B Common Stock, $0.01 par value, authorized 1,800,000,000 shares; issued 251,093,655 and 243,241,192 shares as of September 30, 2020 and December 31, 2019, respectively (Note 13) 2,622   2,548 2,502    
Additional paid-in capital 441,723   408,667 392,896    
Accumulated other comprehensive loss (29,211)   (23,927) (29,414)   (18,540)
Accumulated deficit (407,961)   (52,669) [2] (218,553) [2]    
Total stockholders' equity 7,173 $ 306,583 334,619 147,431   $ 52,167
Total liabilities and stockholders' equity 1,090,497   994,599 923,596    
Revenues [Abstract]            
Total revenues 581,977 533,732 736,654 691,710    
Cost of Revenue [Abstract]            
Total cost of revenues 116,592 104,249 144,150 131,324    
Gross profit 465,385 429,483 592,504 560,386    
Operating Expenses [Abstract]            
Research and development 139,570 136,617 183,552 175,032    
Selling and marketing 107,551 111,889 155,294 160,635    
General and administrative 85,275 71,415 97,580 89,328    
Amortization of Purchased Intangibles     14,213 14,000    
Total operating expenses 369,510 330,323 450,639 438,995    
Income from operations 95,875 99,160 141,865 121,391    
Interest expense, net     (8,199) (8,765)    
Other income (expense), net 6,756 (14,053) (5,557) 236    
Income before income taxes 98,181 78,604 128,109 112,862    
Provision for income taxes 22,145 11,759 23,738 (29,250)    
Equity in loss of joint venture, net of tax 1,447 0 1,275      
Net income 74,589 66,845 103,096 142,112    
Accumulated deficit (407,961)   (52,669) [2] (218,553) [2]    
Subscriptions            
Revenues [Abstract]            
Total revenues 501,011 445,338 608,300 557,421    
Perpetual licenses            
Revenues [Abstract]            
Total revenues 36,020 38,255 59,693 61,065    
Subscriptions and licenses            
Revenues [Abstract]            
Total revenues 537,031 483,593 667,993 618,486    
Cost of Revenue [Abstract]            
Total cost of revenues 66,466 48,201 71,578 55,113    
Services            
Revenues [Abstract]            
Total revenues 44,946 50,139 68,661 73,224    
Cost of Revenue [Abstract]            
Total cost of revenues $ 50,126 $ 56,048 72,572 $ 76,211    
ASU 2014-09 and ASC Topic 340-40 | Cumulative Effect, Period of Adoption, Adjustment, Net Of Tax            
Stockholders' Equity Attributable to Parent [Abstract]            
Accumulated deficit         $ 107,822  
Operating Expenses [Abstract]            
Accumulated deficit         $ 107,822  
Calculated under Revenue Guidance in Effect before Topic 606 [Member]            
Assets, Current [Abstract]            
Cash and cash equivalents     121,101      
Accounts receivable, net     204,268      
Prepaid income taxes     6,732      
Prepaid and other current assets [1]     20,080      
Total current assets     352,181      
Property and equipment, net     29,632      
Intangible assets, net     46,313      
Goodwill     480,065      
Investment in joint venture     1,725      
Deferred income taxes     72,611      
Other assets [1]     26,517      
Total assets     1,009,044      
Liabilities, Current [Abstract]            
Accounts payable     17,669      
Accruals and other current liabilities     167,225      
Deferred revenues     282,070      
Income taxes payable     1,030      
Total current liabilities     467,994      
Total carrying value of debt     233,750      
Deferred revenues     56,121      
Deferred income taxes     7,627      
Income taxes payable     6,321      
Other liabilities     9,263      
Total liabilities     781,076      
Stockholders' Equity Attributable to Parent [Abstract]            
Class A Common Stock, $0.01 par value, authorized 100,000,000 shares; issued 11,601,757 shares as of September 30, 2020 and December 31, 2019, and Class B Common Stock, $0.01 par value, authorized 1,800,000,000 shares; issued 251,093,655 and 243,241,192 shares as of September 30, 2020 and December 31, 2019, respectively (Note 13)     2,548      
Additional paid-in capital     408,667      
Accumulated other comprehensive loss     (23,086)      
Accumulated deficit [2]     (160,161)      
Total stockholders' equity     227,968      
Total liabilities and stockholders' equity     1,009,044      
Revenues [Abstract]            
Total revenues     734,849      
Cost of Revenue [Abstract]            
Total cost of revenues     144,011      
Gross profit     590,838      
Operating Expenses [Abstract]            
Research and development     183,552      
Selling and marketing     155,274      
General and administrative     97,580      
Amortization of Purchased Intangibles     14,213      
Total operating expenses     450,619      
Income from operations     140,219      
Interest expense, net     (8,199)      
Other income (expense), net     (5,557)      
Income before income taxes     126,463      
Provision for income taxes     21,762      
Equity in loss of joint venture, net of tax     1,275      
Net income     103,426      
Accumulated deficit [2]     (160,161)      
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Subscriptions            
Revenues [Abstract]            
Total revenues     613,925      
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Perpetual licenses            
Revenues [Abstract]            
Total revenues     52,519      
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Subscriptions and licenses            
Revenues [Abstract]            
Total revenues     666,444      
Cost of Revenue [Abstract]            
Total cost of revenues     71,439      
Calculated under Revenue Guidance in Effect before Topic 606 [Member] | Services            
Revenues [Abstract]            
Total revenues     68,405      
Cost of Revenue [Abstract]            
Total cost of revenues     72,572      
Impact from the adoption of Topic 606 and Topic 340-40            
Assets, Current [Abstract]            
Accounts receivable, net     233      
Prepaid income taxes     (2,189)      
Prepaid and other current assets [1]     3,333      
Total current assets     1,377      
Deferred income taxes     (21,543)      
Other assets [1]     5,721      
Total assets     (14,445)      
Liabilities, Current [Abstract]            
Accruals and other current liabilities     292      
Deferred revenues     (77,079)      
Income taxes payable     1,206      
Total current liabilities     (75,581)      
Deferred revenues     (47,967)      
Deferred income taxes     633      
Income taxes payable     1,819      
Total liabilities     (121,096)      
Stockholders' Equity Attributable to Parent [Abstract]            
Accumulated other comprehensive loss     (841)      
Accumulated deficit [2]     107,492      
Total stockholders' equity     106,651      
Total liabilities and stockholders' equity     (14,445)      
Revenues [Abstract]            
Total revenues     1,805      
Cost of Revenue [Abstract]            
Total cost of revenues     139      
Gross profit     1,666      
Operating Expenses [Abstract]            
Selling and marketing     20      
Total operating expenses     20      
Income from operations     1,646      
Income before income taxes     1,646      
Provision for income taxes     1,976      
Net income     (330)      
Accumulated deficit [2]     107,492      
Impact from the adoption of Topic 606 and Topic 340-40 | Subscriptions            
Revenues [Abstract]            
Total revenues     (5,625)      
Impact from the adoption of Topic 606 and Topic 340-40 | Perpetual licenses            
Revenues [Abstract]            
Total revenues     7,174      
Impact from the adoption of Topic 606 and Topic 340-40 | Subscriptions and licenses            
Revenues [Abstract]            
Total revenues     1,549      
Cost of Revenue [Abstract]            
Total cost of revenues     139      
Impact from the adoption of Topic 606 and Topic 340-40 | Services            
Revenues [Abstract]            
Total revenues     256      
Prepaid Expenses and Other Current Assets [Member]            
Operating Expenses [Abstract]            
Contract cost assets     2,690      
Other Assets [Member]            
Operating Expenses [Abstract]            
Contract cost assets     $ 5,235      
[1] As of December 31, 2019, contract cost assets of $2,690 were included in Prepaid and other current assets and $5,235 were included in Other assets.
[2] Included in Accumulated deficit on the opening balance of January 1, 2019 is $107,822, net of tax, for the cumulative effect adjustment of adopting Topics 606 and 34040.