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Revenue (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Dec. 31, 2020
Disaggregation of Revenue [Line Items]          
Total net revenues $ 778,445,000 $ 767,170,000 $ 2,366,322,000 $ 2,427,044,000  
Short-term contract assets 51,900,000   51,900,000   $ 37,300,000
Long-term contract assets 44,800,000   44,800,000   41,700,000
Current portion of deferred revenues 1,464,176,000   1,464,176,000   1,510,216,000
Long-term portion of deferred revenues 314,272,000   314,272,000   392,360,000
Deferred revenue recognized 553,700,000   1,260,000,000    
Impairment charges related to contract assets 0 0 0 0  
Short-term contract acquisition costs 76,000,000   76,000,000   71,500,000
Long-term contract acquisition costs 131,600,000   131,600,000   $ 124,700,000
Impairment of capitalized costs 0 0 0 0  
Transferred at Point in Time [Member]          
Disaggregation of Revenue [Line Items]          
Total net revenues 86,366,000 155,087,000 371,000,000 630,193,000  
Transferred over Time [Member]          
Disaggregation of Revenue [Line Items]          
Total net revenues 692,079,000 612,083,000 1,995,322,000 1,796,851,000  
Sales, Marketing and Services Expense [Member]          
Disaggregation of Revenue [Line Items]          
Amortization of capitalized contract acquisition costs $ 19,300,000 $ 14,700,000 $ 56,500,000 $ 41,600,000  
Minimum [Member]          
Disaggregation of Revenue [Line Items]          
Average customer life     2 years    
Maximum [Member]          
Disaggregation of Revenue [Line Items]          
Average customer life     7 years    
Customer Relationships [Member] | Minimum [Member]          
Disaggregation of Revenue [Line Items]          
Average customer life     3 years    
Customer Relationships [Member] | Maximum [Member]          
Disaggregation of Revenue [Line Items]          
Average customer life     5 years