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Revenue
9 Months Ended
Sep. 30, 2023
Revenue from Contract with Customer [Abstract]  
Revenue Revenue
Disaggregation of Revenue
The following table presents a summary of revenue:
Three Months Ended September 30,Nine Months Ended September 30,
(in thousands)2023202220232022
Subscription revenue$183,268 $156,764 $531,133 $446,257 
Perpetual license and maintenance revenue12,200 12,658 36,535 38,214 
Professional services and other revenue6,061 5,429 17,736 14,089 
Revenue$201,529 $174,851 $585,404 $498,560 
Concentrations
We sell and market our products and services through our field sales force that works closely with our channel partners, which includes a network of distributors and resellers, in developing sales opportunities. We use a two-tiered channel model whereby we sell our products and services to our distributors, which in turn sell to resellers, which then sell to end-users. We derived 93% of revenue through our channel network in the three and nine months ended September 30, 2023 and 92% of revenue through our channel network in the three and nine months ended September 30, 2022. One of our distributors accounted for 36% of revenue in the three and nine months ended September 30, 2023 and 38% of revenue in the three and nine months ended September 30, 2022. That same distributor accounted for 37% and 36% of accounts receivable at September 30, 2023 and December 31, 2022, respectively.
Contract Balances
We generally bill our customers in advance and accounts receivable are recorded when we have the right to invoice the customer. Contract liabilities consist of deferred revenue and include customer billings and payments received in advance of performance under the contract. In the three months ended September 30, 2023 and 2022 and the nine months ended September 30, 2023 and 2022, we recognized revenue of $185.9 million, $156.3 million, $430.8 million and $350.6 million, respectively, that was included in the deferred revenue balance at the beginning of each of the respective periods.
Remaining Performance Obligations
At September 30, 2023, the future estimated revenue related to unsatisfied performance obligations was $697.2 million, of which $528.4 million is expected to be recognized as revenue over the next twelve months, and the remainder is expected to be recognized over the four years thereafter.
Deferred Commissions
The following summarizes the activity of deferred incremental costs of obtaining a contract:
Three Months Ended September 30,Nine Months Ended September 30,
(in thousands)2023202220232022
Beginning balance$109,582 $100,000 $111,508 $99,949 
Capitalization of contract acquisition costs14,527 12,837 36,819 35,240 
Amortization of deferred contract acquisition costs(12,565)(11,561)(36,783)(33,913)
Ending balance$111,544 $101,276 $111,544 $101,276