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Summary of Significant Accounting Policies (Details Textual) (USD $) In Millions, unless otherwise specified | 3 Months Ended | 12 Months Ended
--- | --- | ---
Mar. 31, 2010 | Jun. 30, 2009 Rig | Mar. 31, 2009 Rig | Dec. 31, 2008 Rig | Dec. 31, 2011 Y | Dec. 31, 2010 | Dec. 31, 2009
Indefinite-lived Intangible Assets by Major Class [Line Items] |  |  |  |  |  |  |
Indefinite-lived intangible assets |  |  |  |  | $ 600 |  |
Summary of Significant Accounting Policies (Textual) [Abstract] |  |  |  |  |  |  |
Maturity period of investments description |  |  |  |  | Three Months or less |  |
Maturity period of investments |  |  |  |  | 3 months |  |
Minimum Derivative Financial Instrument's Term (Months) |  |  |  |  | 2 months |  |
Maximum Derivative Financial Instrument's Term (Months) |  |  |  |  | 24 months |  |
Derivative Assets |  |  |  |  | 26 | 47 |
Derivative Liabilities |  |  |  |  | 96 | 23 |
Fair Value of Foreign Currency Forward Contracts |  |  |  |  | 70 |  |
Allowances for excess and obsolete inventories |  |  |  |  | 281 | 270 |
Depreciation expense related to property, plant and equipment |  |  |  |  | 279 | 262 | 249
Impairment of long-lived assets |  |  |  |  | 0 | 0 | 0
Goodwill |  |  |  |  | 6,151 | 5,790 | 5,489
Indefinite-lived intangible assets |  |  |  |  | 600 |  |
Estimated useful lives of intangible assets, Minimum |  |  |  |  | 2 |  |
Estimated useful lives of intangible assets, Maximum |  |  |  |  | 30 |  |
Amortization expense |  |  |  |  | 280 |  |
Number of years as first period of amortization |  |  |  |  | 5 |  |
World wide average rig count |  | 2,009 | 2,681 | 3,395 |  |  |
Percentage decrease comparing Previous quarters |  |  | 25.00% | 41.00% |  |  |
Impairment charge incurred |  | 147 |  |  |  |  | 147
Devalued asset charges | 27 |  |  |  |  |  |
Written down charges of accounts receivable | 11 |  |  |  |  |  |
Net investment in Venezuela |  |  |  |  | 27 |  |
Net foreign currency transaction gains (losses) |  |  |  |  | 10 | 30 | 79
Net allowances for doubtful accounts |  |  |  |  | 107 | 107 |
Compensation cost charged against income for share-based compensation arrangements |  |  |  |  | 73 | 66 | 68
Income tax benefit recognized for share-based compensation arrangements |  |  |  |  | 17 | 20 | 21
Anti-dilutive stock options outstanding |  |  |  |  | 3 | 8 | 4
Carrying amount of goodwill impairment test |  |  |  |  | more than 50 percent |  |
Trade Names [Member] |  |  |  |  |  |  |
Indefinite-lived Intangible Assets by Major Class [Line Items] |  |  |  |  |  |  |
Indefinite-lived intangible assets |  |  |  |  | 643 |  |
Summary of Significant Accounting Policies (Textual) [Abstract] |  |  |  |  |  |  |
Indefinite-lived intangible assets |  |  |  |  | $ 643 |  |

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