Description of Plan and Significant Accounting Policies (Details)	12 Months Ended
Dec. 31, 2025 USD ($) hours year	Dec. 31, 2024 USD ($)
EBP, Description of Plan [Line Items]
Administrative expenses	$ 740,746	$ 1,097,852
EBP 018
EBP, Description of Plan [Line Items]
Requisite hours of service \| hours	1,000
Requisite service period	12 months
Pretax, maximum annual compensation to total compensation, percentage	100.00%
Withdrawal service period	5 years
Retirement age \| year	65
Contributions, not less than	1.00%
Contributions, up to	100.00%
Involuntary cash-out limit	$ 7,000
Vesting percentage	100.00%
Minimum borrowing, amount	$ 1,000
Maximum borrowing, amount	$ 50,000
Maximum borrowing, to total account, percentage	50.00%
Forfeited nonvested account	$ 2,203,960	1,220,682
Forfeited nonvested account, decrease from administrative expense	490,266	20,500
Forfeited nonvested account, decrease from employer contribution	0	742,750
Benefits payable	$ 4,054	$ 0
EBP 018 \| Qualified Non-Elective Contributions
EBP, Description of Plan [Line Items]
Requisite hours of service \| hours	1,000
Vesting period	3 years
Annual non-elective employer contribution	3.00%
Vesting percentage	100.00%
EBP 018 \| EBP, Employer Contribution
EBP, Description of Plan [Line Items]
Participant compensation matched, percentage	3.50%
EBP 018 \| EBP, Employer Contribution, Tranche One
EBP, Description of Plan [Line Items]
Matching percentage	100.00%
Eligible compensation percentage	1.00%
EBP 018 \| EBP, Employer Contribution, Tranche Two
EBP, Description of Plan [Line Items]
Matching percentage	50.00%
Eligible compensation percentage	5.00%
EBP 018 \| Union Employees
EBP, Description of Plan [Line Items]
Matching percentage	50.00%
Eligible compensation percentage	4.00%
EBP 018 \| Non-Union Employees
EBP, Description of Plan [Line Items]
Period from commencement for lump sum distributions	90 days
EBP 018 \| Employer Matching Contribution
EBP, Description of Plan [Line Items]
Vesting period	2 years
Vesting percentage	100.00%

EBP, Employer Contribution, Annual Compensation To Total Compensation, Percentage

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- Definition

EBP, Employer Contribution, Eligible Compensation, Percentage

+ References

No definition available.

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- Definition

Company contribution and/ or investment earning percentage vesting to the participant in Company Matching Contributions, Fixed Rate Contributions, Discretionary Profit-Sharing Contributions, Qualified Non-Elective Contributions, and Disability Contributions, upon completion of minimum service period or attainment of maximum vesting age

+ References

No definition available.

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- Definition

Minimum Vesting service period for company contribution and/ or investment earning to the participant in Company Matching Contributions, Fixed Rate Contributions, Discretionary Profit-Sharing Contributions, Qualified Non-Elective Contributions, and Disability Contributions.

+ References

No definition available.

+ Details

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- Definition

EBP, Involuntary Cash-out Limit

+ References

No definition available.

+ Details

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- Definition

EBP, Participant Contribution, Before-Tax And After-Tax, Maximum Annual Contribution to Eligible Compensation, Percentage

+ References

No definition available.

+ Details

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- Definition

EBP, Participant Contribution, Before-Tax And After-Tax, Minimum Annual Contribution to Eligible Compensation, Percentage

+ References

No definition available.

+ Details

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- Definition

EBP, Participant Contributions, Withdrawal Period from Commencement

+ References

No definition available.

+ Details

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- Definition

EBP, Participant Paid Administrative Expenses

+ References

No definition available.

+ Details

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Namespace Prefix:	aos_
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Balance Type:	debit
Period Type:	duration

- Definition

EBP, Requisite Hours Of Service

+ References

No definition available.

+ Details

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- Definition

EBP, Requisite Service Period, Consecutive Months

+ References

No definition available.

+ Details

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- Definition

EBP, Retirement Age

+ References

No definition available.

+ Details

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Namespace Prefix:	aos_
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Balance Type:	na
Period Type:	duration

- Definition

EBP, Withdrawal Service Period

+ References

No definition available.

+ Details

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 962
-SubTopic 205
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478416/962-205-50-1

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- Definition

Percentage of employer matching contribution on eligible participant contribution to employee stock purchase, saving, or similar plan (employee benefit plan (EBP)).

+ References

+ Details

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- Definition

Percentage of participant compensation eligible for employer matching contribution for participant in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)).

+ References

+ Details

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- Definition

Amount of plan asset, in forfeited nonvested account, no longer allocated to participant in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)).

+ References

+ Details

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- Definition

Amount of decrease in forfeited nonvested account of employee stock purchase, saving, or similar plan (employee benefit plan (EBP)) from administrative expense.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 962
-SubTopic 205
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (j)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478416/962-205-50-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 962
-SubTopic 205
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.6A-04(5)(c))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477804/962-205-S99-1

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Period Type:	duration

- Definition

Amount of decrease in forfeited nonvested account of employee stock purchase, saving, or similar plan (employee benefit plan (EBP)) from employer contribution.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 962
-SubTopic 325
-Name Accounting Standards Codification
-Section 55
-Paragraph 17
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478873/962-325-55-17

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 962
-SubTopic 205
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (j)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478416/962-205-50-1

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 962
-SubTopic 205
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.6A-04(5)(c))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477804/962-205-S99-1

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- Definition

Amount of maximum account balance that participant in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)) can borrow.

+ References

+ Details

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- Definition

Percentage of maximum account balance that participant in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)) can borrow to total participant account balance.

+ References

+ Details

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- Definition

Amount of minimum account balance that participant in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)) can borrow.

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- Definition

Percentage of maximum pretax annual compensation that participant in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)), is permitted to contribute to total pretax annual compensation.

+ References

+ Details

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- Definition

Amount of liability to participant in employee stock purchase, saving, or similar plan (employee benefit plan (EBP)).

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 962
-SubTopic 205
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.6A-03(7)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477804/962-205-S99-1

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