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Supplemental balance sheet and cash flow information (trade accounts receivable, allowance for credit losses) (Details) - USD ($) $ in Thousands | 3 Months Ended |
--- | --- | ---
Mar. 31, 2023 | Mar. 31, 2022 | Dec. 31, 2022
Trade accounts receivable |  |  |  |
Trade accounts receivable - gross |  | $ 226,718 |  | $ 210,799
Allowance for credit losses |  | (4,824) |  | (4,182)
Trade accounts receivable - net | [1] | 221,894 |  | 206,617
Unbilled receivables |  | 54,336 |  | $ 43,902
Changes in allowance for credit losses |  |  |  |
Balance, beginning of year |  | 4,182 | $ 4,130 |
Bad debt expense |  | 1,466 | 625 |
Write-offs and other |  | (824) | (556) |
Balance, end of period |  | $ 4,824 | $ 4,199 |
[1] | Includes unbilled receivables of $54,336 as of March 31, 2023 and $43,902 as of December 31, 2022.

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