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Supplemental balance sheet and cash flow information (trade accounts receivable, allowance for credit losses) (Details) - USD ($) $ in Thousands | 9 Months Ended |
--- | --- | ---
Sep. 30, 2022 | Sep. 30, 2021 | Dec. 31, 2021
Trade accounts receivable |  |  |  |
Trade accounts receivable - gross |  | $ 198,685 |  | $ 202,077
Allowance for credit losses |  | (3,534) |  | (4,130)
Trade accounts receivable - net | [1] | 195,151 |  | 197,947
Unbilled receivables |  | 51,941 |  | $ 47,420
Changes in allowance for credit losses |  |  |  |
Balance, beginning of year |  | 4,130 | $ 6,428 |
Bad debt expense (benefit) |  | 2,410 | (412) |
Write-offs and other |  | (3,006) | (2,555) |
Balance, end of period |  | $ 3,534 | $ 3,461 |
[1] | Includes unbilled receivables of $51,941 as of September 30, 2022 and $47,420 as of December 31, 2021.

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