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Valuation and qualifying accounts (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2020 | Dec. 31, 2019 | Dec. 31, 2018
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of period | $ 243,660 | $ 273,968 | $ 321,074
Additions | 83,405 | 28,694 | 45,009
Deductions | (53,719) | (54,912) | (59,280)
Translation | (10,259) | (4,090) | (32,835)
Balance at end of period | 263,087 | 243,660 | 273,968
Allowance for doubtful accounts |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of period | 23,076 | 25,539 | 21,467
Additions | 937 | 8,524 | 6,064
Deductions | (22,929) | (10,892) | (1,860)
Translation | (141) | (95) | (132)
Balance at end of period | 943 | 23,076 | 25,539
Allowance for doubtful accounts | Accounts Receivable |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of period | 22,442 |  |
Balance at end of period | 585 | 22,442 |
Allowance for doubtful accounts | Other receivables |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of period | 634 |  |
Balance at end of period | 358 | 634 |
Valuation allowance on deferred tax assets |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of period | 194,426 | 219,920 | 271,651
Additions | 65,077 | 2,375 | 13,107
Deductions | (18,870) | (26,252) | (37,718)
Translation | (5,437) | (1,617) | (27,120)
Balance at end of period | 235,196 | 194,426 | 219,920
Provision for contingencies |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Balance at beginning of period | 26,158 | 28,509 | 27,956
Additions | 17,391 | 17,795 | 25,838
Deductions | (11,920) | (17,768) | (19,702)
Translation | (4,681) | (2,378) | (5,583)
Balance at end of period | 26,948 | 26,158 | 28,509
Legal Reserve Accrual |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Additions | 15,330 | 17,441 | 23,995
Legal Reserve Reclassifications |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Additions | 2,061 | 354 |
Legal Reserve Settlements |  |  |
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward] |  |  |
Deductions | $ (11,920) | $ (17,768) | $ (19,702)

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