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Goodwill and Other Intangible Assets (Tables) | 12 Months Ended
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Dec. 31, 2017
Schedule of Changes in Carrying Amount of Goodwill | Changes in the carrying amount of goodwill during the years ended December 31, 2017 and 2016 consisted of the following:
(dollars in millions) |  | North America |  |  | Rest of World |  |  | Total |
Balance at December 31, 2015 |  | $ | 361.0 |  |  | $ | 59.9 |  |  | $ | 420.9 |
Acquisitions |  |  | 70.0 |  |  |  | — |  |  |  | 70.0 |
Currency translation adjustment |  |  | 1.2 |  |  |  | (0.6 | ) |  |  | 0.6 |
Balance at December 31, 2016 |  |  | 432.2 |  |  |  | 59.3 |  |  |  | 491.5 |
Acquisitions |  |  | 22.2 |  |  |  | — |  |  |  | 22.2 |
Currency translation adjustment |  |  | 2.8 |  |  |  | 0.2 |  |  |  | 3.0 |
Balance at December 31, 2017 |  | $ | 457.2 |  |  | $ | 59.5 |  |  | $ | 516.7 |
Schedule of Carrying Amount of Other Intangible Assets | The carrying amount of other intangible assets consisted of the following:
|  | 2017 |  |  | 2016 |
December 31 (dollars in millions) |  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net |  |  | Gross Carrying Amount |  |  | Accumulated Amortization |  |  | Net |
Amortizable intangible assets: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Patents |  | $ | 3.7 |  |  | $ | (2.7 | ) |  | $ | 1.0 |  |  | $ | 3.7 |  |  | $ | (2.2 | ) |  | $ | 1.5 |
Customer lists |  |  | 235.8 |  |  |  | (93.3 | ) |  |  | 142.5 |  |  |  | 224.0 |  |  |  | (80.3 | ) |  |  | 143.7 |
Total amortizable intangible assets |  |  | 239.5 |  |  |  | (96.0 | ) |  |  | 143.5 |  |  |  | 227.7 |  |  |  | (82.5 | ) |  |  | 145.2 |
Indefinite-lived intangible assets: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Trade names |  |  | 165.2 |  |  |  | — |  |  |  | 165.2 |  |  |  | 163.1 |  |  |  | — |  |  |  | 163.1 |
Total intangible assets |  | $ | 404.7 |  |  | $ | (96.0 | ) |  | $ | 308.7 |  |  | $ | 390.8 |  |  | $ | (82.5 | ) |  | $ | 308.3 |

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- Definition Tabular disclosure of the aggregate amount of intangible assets excluding goodwill. + References No definition available. + Details
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Namespace Prefix: | aos_
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- Definition Tabular disclosure of goodwill by reportable segment and in total which includes a rollforward schedule. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=35741047&loc=d3e13816-109267 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=35741047&loc=d3e13854-109267 + Details
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Namespace Prefix: | us-gaap_
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