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Long-term debt (Annual Interest Rate) (Details) - Subsidiaries - Secured Loan Agreement | 12 Months Ended
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Dec. 31, 2018
Citibank N.A. | LIBOR |
Debt Instrument [Line Items] |
Basis spread on variable rate (as a percent) | 2.439%
Itau BBA International plc |
Debt Instrument [Line Items] |
Annual interest rate (as a percent) | 5.26%
Banco Santander (Brasil) S.A., Cayman Islands Branch |
Debt Instrument [Line Items] |
Annual interest rate (as a percent) | 4.7863%
Bank of America N.A. | LIBOR |
Debt Instrument [Line Items] |
Basis spread on variable rate (as a percent) | 4.00%
JP Morgan Chase Bank, N.A. | LIBOR |
Debt Instrument [Line Items] |
Basis spread on variable rate (as a percent) | 3.92%

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- Definition Effective interest rate for the funds borrowed under the debt agreement considering interest compounding and original issue discount or premium. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 470 -SubTopic 20 -Section 50 -Paragraph 6 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=109500613&loc=SL6036836-161870 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 835 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=114775744&loc=d3e28551-108399 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02.22(a)(1)) -URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682 + Details
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