| **Goodwill and other intangible assets, net (Details)In Millions, unless otherwise specified**                                                                                                                                                                                | 12 Months Ended |     | 12 Months Ended |        | 12 Months Ended |        | 12 Months Ended |        |        |     |        |     |        |     |        |        |
|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|-----------------|-----|-----------------|--------|-----------------|--------|-----------------|--------|--------|-----|--------|-----|--------|-----|--------|--------|
||
| **Goodwill [Line Items]**                                                                                                                                                                                                                                                     |            |     |            |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Royalty Expense                                                                                                                                                                                                                                                               |            |     | € 30     |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Royalty Guarantees, Commitments, Amount                                                                                                                                                                                                                                       | 12              |     | 9               |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months                                                                                                                                                                                                      | 22              |     |            |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Finite-Lived Intangible Assets, Gross                                                                                                                                                                                                                                         | 194             |     |            | 239    |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   | 93 | 135 | 101 | 104 |
| Indefinite-Lived Intangible Assets (Excluding Goodwill)                                                                                                                                                                                                                       | 55              |     |            | 67     |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   | 5 | 7 | 50 | 60 |   |   |   |   |
| Goodwill                                                                                                                                                                                                                                                                      | 280             |     |            | 319    |                 | 324    |                 | 318    | 161    |     | 200    |     | 205    |     | 206    | 38     |  | 38 |  | 38 |  | 38 | 81 |  | 81 |  | 81 |  | 74 |   |   |   |   |   |   |   |   |
| Goodwill, Translation Adjustments                                                                                                                                                                                                                                             | (33)            |     |            | 2      |                 | 5      |                 |   | (33)   |     | 2      |     | 5      |     |   | 0      |  | 0 |  | 0 |  |   | 0 |  | 0 |  | 0 |  |   |   |   |   |   |   |   |   |   |
| Goodwill, Subsequent Recognition of Deferred Tax Asset                                                                                                                                                                                                                        | 6               | [1] |            | 7      | [1]             | 6      | [1]             |   | 6      | [1] | 7      | [1] | 6      | [1] |   | 0      | [1] | 0 | [1] | 0 | [1] |   | 0 | [1] | 0 | [1] | 0 | [1] |   |   |   |   |   |   |   |   |   |
| Goodwill, Acquired During Period                                                                                                                                                                                                                                              |            |     |            |   |                 | 7      |                 |   |   |     |   |     | 0      |     |   |   |  |   |  | 0 |  |   |   |  |   |  | 7 |  |   |   |   |   |   |   |   |   |   |
| Finite-Lived Intangible Assets, Accumulated Amortization                                                                                                                                                                                                                      | (78)            |     |            | (72)   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   | (47) | (52) | (31) | (20) |
| Finite-Lived Intangible Assets, Net                                                                                                                                                                                                                                           | 116             |     |            | 167    |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   | 46 | 83 | 70 | 84 |
| Finite-Lived Intangible Assets, Amortization Expense, Year Two                                                                                                                                                                                                                | 21              |     |            |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Finite-Lived Intangible Assets, Amortization Expense, Year Three                                                                                                                                                                                                              | 17              |     |            |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Finite-Lived Intangible Assets, Amortization Expense, Year Four                                                                                                                                                                                                               | 15              |     |            |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Finite-Lived Intangible Assets, Amortization Expense, Year Five                                                                                                                                                                                                               | 14              |     |            |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Amortization of Intangible Assets                                                                                                                                                                                                                                             | 25              |     |            | 29     |                 | 27     |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
| Finite-lived intangible assets, amortization expense, thereafter                                                                                                                                                                                                              | $ 27            |     |            |   |                 |   |                 |   |   |     |   |     |   |     |   |   |  |   |  |   |  |   |   |  |   |  |   |  |   |   |   |   |   |   |   |   |   |
|                                                                                                                                                                                                                                                                               |
| [1]Adjustments to goodwill primarily result from the tax benefit attributable to the amortization of tax deductible goodwill in excess of goodwill recorded for financial statement purposes as measured in the IIAA balance sheet immediately after its acquisition in 2005. |

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| - Definition
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| - Definition
The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.
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| - Definition
Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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| - Definition
Amount of amortization expense expected to be recognized during the next fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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Amount of amortization expense expected to be recognized during the fifth fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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Amount of amortization expense expected to be recognized during the fourth fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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Amount of amortization expense expected to be recognized during the third fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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Amount of amortization expense expected to be recognized during the second fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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| - Definition
Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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| - Definition
Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.
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|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Carrying amount as of the balance sheet date, which is the cumulative amount paid and (if applicable) the fair value of any noncontrolling interest in the acquiree, adjusted for any amortization recognized prior to the adoption of any changes in generally accepted accounting principles (as applicable) and for any impairment charges, in excess of the fair value of net assets acquired in one or more business combination transactions.
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|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
The aggregate amount of goodwill acquired in the period and allocated to the reportable segment. The value is stated at fair value based on the purchase price allocation.
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| - Definition
Amount of adjustments to goodwill resulting from the subsequent recognition of deferred tax assets during the period.
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| - Definition
The increase (decrease) to the recorded value of goodwill for foreign currency translation adjustments.
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|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Carrying amount of assets (excluding financial assets) that lack physical substance, excluding goodwill, having a projected indefinite period of benefit.
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| - Definition
The amount of cash paid for royalties during the current period.
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| - Definition
Amount of expense related to royalty payments under a contractual arrangement such as payment for mineral and drilling rights and use of technology or intellectual property.
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