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Debt (Details) $ in Millions | Dec. 31, 2021 USD ($) covenant
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Debt Disclosure [Abstract] |
Multi-currency revolving credit agreement, maximum borrowing capacity | $ 500
Accordion feature, higher borrowing capacity option | $ 850
Number of required financial covenants | covenant | 2

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- Definition Line of Credit Facility, Accordion Feature, Higher Borrowing Capacity Option + References No definition available. + Details
Name: | aos_LineOfCreditFacilityAccordionFeatureHigherBorrowingCapacityOption
Namespace Prefix: | aos_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Line of Credit Facility, Financial Covenant Required, Number + References No definition available. + Details
Name: | aos_LineOfCreditFacilityFinancialCovenantRequiredNumber
Namespace Prefix: | aos_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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- References No definition available. + Details
Name: | us-gaap_DebtDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(22)(b)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(19)(b)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1 + Details
Name: | us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant