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Supplemental balance sheet and cash flow information (trade accounts receivable, allowance for credit losses) (Details) - USD ($) $ in Thousands | 6 Months Ended |
--- | --- | ---
Jun. 30, 2022 | Jun. 30, 2021 | Dec. 31, 2021
Trade accounts receivable |  |  |  |
Trade accounts receivable - gross |  | $ 190,844 |  | $ 202,077
Allowance for credit losses |  | (4,253) |  | (4,130)
Trade accounts receivable - net | [1] | 186,591 |  | 197,947
Unbilled receivables |  | 52,647 |  | $ 47,420
Changes in allowance for credit losses |  |  |  |
Balance, beginning of year |  | 4,130 | $ 6,428 |
Bad debt expense (benefit) |  | 1,449 | (1,696) |
Write-offs and other |  | (1,326) | (1,704) |
Balance, end of period |  | $ 4,253 | $ 3,028 |
[1] | Includes unbilled receivables of $52,647 as of June 30, 2022 and $47,420 as of December 31, 2021.

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