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Shareholders' equity - Additional Information (Detail) - USD ($) | 12 Months Ended |
--- | --- | ---
Dec. 31, 2015 | Dec. 31, 2014 | Dec. 31, 2013 | Dec. 31, 2007
Shareholders Equity [Line Items] |  |  |  |
Common shares, authorized | 200,000,000 |  |  |
Common shares, par value | $ 1 | $ 1 |  |
Preference shares, authorized | 500,000 |  |  |
Per share market price of common stock | $ 61.32 |  |  |
Strike price of warrants | $ 74.65 |  |  |
Conversion of convertible notes, shares issued upon conversion | 2,700,000 | 1,900,000 | 600,000 |
Convertible senior notes percentage | 3.875% | 3.875% | 3.875% |
Stock Option |  |  |  |
Shareholders Equity [Line Items] |  |  |  |
Weighted average antidilutive which were not included in the calculation of earnings per share | 5,600,000 | 6,300,000 | 7,700,000 |
Convertible Note |  |  |  |
Shareholders Equity [Line Items] |  |  |  |
Weighted average antidilutive which were not included in the calculation of earnings per share | 3,300,000 | 2,700,000 | 1,600,000 |
Common Stock |  |  |  |
Shareholders Equity [Line Items] |  |  |  |
Repurchase of stock, authorized amount |  |  |  | $ 300,000,000

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- Definition Securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) or earnings per unit (EPU) in the future that were not included in the computation of diluted EPS or EPU because to do so would increase EPS or EPU amounts or decrease loss per share or unit amounts for the period presented. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Antidilution -URI http://asc.fasb.org/extlink&oid=6505113 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Diluted Earnings Per Share -URI http://asc.fasb.org/extlink&oid=6510752 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Contingent Stock Agreement -URI http://asc.fasb.org/extlink&oid=6508534 Reference 4: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6371337&loc=d3e3550-109257 + Details
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