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Contract Assets and Liabilities (Tables)
3 Months Ended
Mar. 31, 2023
Revenue from Contract with Customer [Abstract]  
Components of contract assets and contract liabilities
The components of contract assets and contract liabilities consisted of the following:
March 31,December 31,
20232022
(in thousands)
Contract assets - current:
Unbilled revenue$6,442 $5,706 
Total contract assets - current$6,442 $5,706 
Contract assets - long-term:
Unbilled revenue - long-term$920 $1,287 
Contract assets - long-term903 681 
Total contract assets - long-term(1)
$1,823 $1,968 
Contract liabilities - current:
Deferred revenue - short-term$3,873 $6,783 
Total contract liabilities - current$3,873 $6,783 
Contract liabilities - long-term:
Other contract liabilities - long-term$68 $109 
Total contract liabilities - long-term$68 $109 
Changes in short-term and long-term contract assets and contract liabilities for the three months ended March 31, 2023 were as follows:
Contract AssetsContract Liabilities
(in thousands)
Balance on January 1, 2023$7,674 $6,892 
Billings or revenue recognized that was included in the beginning balance(892)(3,707)
Changes in contract assets or contract liabilities, net of reclassification to receivables1,261 354 
Cumulative catch-up adjustment arising from changes in estimates to complete— 444 
Cumulative catch-up adjustment arising from contract modification— (1)
Changes in costs to fulfill and amortization of commission costs 222 — 
Changes in contract commission costs— (41)
Balance on March 31, 2023$8,265 $3,941