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Pension and other postretirement benefits - Amounts recognized in accumulated other comprehensive (income) loss (Detail) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2020
Defined Benefit Plan, Chance in Amounts Recognized in Accumulated Other Comprehensive Income [Roll Forward] |  |  |
Beginning balance, accumulated other comprehensive (income) loss, net of tax | $ 346,959 |  |
Impact of currency translation, accumulated other comprehensive (income) loss, net of tax | 62,904 | $ 63,191 | $ (59,758)
Ending balance, accumulated other comprehensive (income) loss, net of tax | 403,522 | 346,959 |
Pension |  |  |
Defined Benefit Plan, Chance in Amounts Recognized in Accumulated Other Comprehensive Income [Roll Forward] |  |  |
Beginning balance, prior service cost (credit) | 200 | 205 |
Net amortization and deferral, prior service cost | 0 | (5) |
Actuarial changes in benefit obligation, prior service cost | 0 | 0 |
Impact of currency translation, prior service cost (credit) | 0 | 0 |
Ending balance, prior service cost (credit) | 200 | 200 | 205
Beginning balance, net (gain) or loss | 217,939 | 232,335 |
Net amortization and deferral, net (gain) or loss | (7,900) | (8,584) |
Actuarial changes in benefit obligation, net gain (loss) | 10,724 | (4,965) |
Impact of currency translation, net (gain) or loss | (1,408) | (847) |
Ending balance, net (gain) or loss | 219,355 | 217,939 | 232,335
Beginning balance, deferred taxes | (77,273) | (80,657) |
Net amortization and deferral, deferred taxes | 1,832 | 1,999 |
Actuarial changes in benefit obligation, deferred taxes | (2,271) | 1,148 |
Impact of currency translation, deferred taxes | 365 | 237 |
Ending balance, deferred taxes | (77,347) | (77,273) | (80,657)
Beginning balance, accumulated other comprehensive (income) loss, net of tax | 140,866 | 151,883 |
Net amortization and deferral, accumulated other comprehensive (income) loss, net of tax | (6,068) | (6,590) |
Actuarial changes in benefit obligation, accumulated other comprehensive income (loss), net of tax | 8,453 | (3,817) |
Impact of currency translation, accumulated other comprehensive (income) loss, net of tax | (1,043) | (610) |
Ending balance, accumulated other comprehensive (income) loss, net of tax | 142,208 | 140,866 | 151,883
Other Benefits |  |  |
Defined Benefit Plan, Chance in Amounts Recognized in Accumulated Other Comprehensive Income [Roll Forward] |  |  |
Beginning balance, prior service cost (credit) | (3,652) | (4,669) |
Net amortization and deferral, prior service cost | 1,017 | 1,017 |
Actuarial changes in benefit obligation, prior service cost | 0 | 0 |
Ending balance, prior service cost (credit) | (2,635) | (3,652) | (4,669)
Beginning balance, net (gain) or loss | 805 | 3,052 |
Net amortization and deferral, net (gain) or loss | 241 | 41 |
Actuarial changes in benefit obligation, net gain (loss) | (6,223) | (2,288) |
Ending balance, net (gain) or loss | (5,177) | 805 | 3,052
Beginning balance, deferred taxes | 271 | (9) |
Net amortization and deferral, deferred taxes | (287) | (243) |
Actuarial changes in benefit obligation, deferred taxes | 1,419 | 523 |
Ending balance, deferred taxes | 1,403 | 271 | (9)
Beginning balance, accumulated other comprehensive (income) loss, net of tax | (2,576) | (1,626) |
Net amortization and deferral, accumulated other comprehensive (income) loss, net of tax | 971 | 815 |
Actuarial changes in benefit obligation, accumulated other comprehensive income (loss), net of tax | (4,804) | (1,765) |
Ending balance, accumulated other comprehensive (income) loss, net of tax | $ (6,409) | $ (2,576) | $ (1,626)

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- Definition Accumulated change in equity from transactions and other events and circumstances from non-owner sources, net of tax effect, at period end. Excludes Net Income (Loss), and accumulated changes in equity from transactions resulting from investments by owners and distributions to owners. Includes foreign currency translation items, certain pension adjustments, unrealized gains and losses on certain investments in debt and equity securities, other than temporary impairment (OTTI) losses related to factors other than credit losses on available-for-sale and held-to-maturity debt securities that an entity does not intend to sell and it is not more likely than not that the entity will be required to sell before recovery of the amortized cost basis, as well as changes in the fair value of derivatives related to the effective portion of a designated cash flow hedge. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(30)(a)(4)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 11 -URI https://asc.fasb.org/extlink&oid=126968391&loc=d3e637-108580 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.7-03(a)(23)(a)(3)) -URI https://asc.fasb.org/extlink&oid=126734703&loc=d3e572229-122910 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 14A -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669686-108580 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 40 -Section 65 -Paragraph 2 -Subparagraph (h)(2) -URI https://asc.fasb.org/extlink&oid=124501264&loc=SL117420844-207641 Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 944 -SubTopic 40 -Section 65 -Paragraph 2 -Subparagraph (g)(2)(ii) -URI https://asc.fasb.org/extlink&oid=124501264&loc=SL117420844-207641 Reference 7: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 14 -URI https://asc.fasb.org/extlink&oid=126968391&loc=d3e681-108580 + Details
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- Definition Amount, before tax, of accumulated other comprehensive (income) loss for cost (credit) of benefit change attributable to participants' prior service from plan amendment or plan initiation of defined benefit plan, that has not been recognized in net periodic benefit cost (credit). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (j) -URI https://asc.fasb.org/extlink&oid=123447040&loc=d3e1928-114920 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 14A -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669686-108580 + Details
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- Definition Amount before tax and reclassification adjustments of gain (loss) on foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 10 -Section 45 -Paragraph 9 -URI https://asc.fasb.org/extlink&oid=126980362&loc=d3e28129-110885 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 30 -Section 45 -Paragraph 12 -URI https://asc.fasb.org/extlink&oid=118261656&loc=d3e32022-110900 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 11 -URI https://asc.fasb.org/extlink&oid=126968391&loc=d3e637-108580 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 10A -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669646-108580 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 20 -Section 35 -Paragraph 3 -URI https://asc.fasb.org/extlink&oid=123602790&loc=d3e30304-110892 + Details
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- Definition Amount of tax expense (benefit), before reclassification adjustments of gain (loss) on foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 10 -Section 45 -Paragraph 9 -URI https://asc.fasb.org/extlink&oid=126980362&loc=d3e28129-110885 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 10A -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669646-108580 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 30 -Section 45 -Paragraph 21 -URI https://asc.fasb.org/extlink&oid=118261656&loc=d3e32262-110900 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 12 -URI https://asc.fasb.org/extlink&oid=126968391&loc=d3e640-108580 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 830 -SubTopic 20 -Section 45 -Paragraph 5 -URI https://asc.fasb.org/extlink&oid=125521441&loc=d3e30755-110894 + Details
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- Definition Amount after tax and reclassification adjustments of gain (loss) on foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 10A -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126968391&loc=SL7669646-108580 + Details
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