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Subsequent Event - Additional Information (Detail) - USD ($) |  | 3 Months Ended | 9 Months Ended
--- | --- | --- | ---
Jun. 14, 2022 | Sep. 30, 2022 | Sep. 30, 2022
Subsequent Event [Line Items] |  |  |
Business combination, acquisition related costs |  | $ 357,100 | $ 357,100
Merger Agreement [Member] |  |  |
Subsequent Event [Line Items] |  |  |
Maximum number of shares exchanged in merger agreement | 758,566 |  |
PPSF [Member] | Merger Agreement [Member] |  |  |
Subsequent Event [Line Items] |  |  |
Share price per share | $ 34.28 |  |
Transaction value for common stock and cash | $ 27,000,000 |  |
Number of shares elect to receive in merger agreement | 0.6597 |  |
Share price | $ 24.00 |  |

X
- Definition Maximum number of shares exchanged in merger agreement. + References No definition available. + Details
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Namespace Prefix: | fmao_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition Number of shares elect to receive in merger agreement. + References No definition available. + Details
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Namespace Prefix: | fmao_
Data Type: | xbrli:sharesItemType
Balance Type: | na
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X
- Definition Price of a single share of a number of saleable stocks paid or offered to be paid in a business combination. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | instant

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- Definition This element represents acquisition-related costs incurred to effect a business combination which costs have been expensed during the period. Such costs include finder's fees; advisory, legal, accounting, valuation, and other professional or consulting fees; general administrative costs, including the costs of maintaining an internal acquisitions department; and may include costs of registering and issuing debt and equity securities. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 10 -Section 25 -Paragraph 23 -URI https://asc.fasb.org/extlink&oid=123586518&loc=d3e1043-128460 + Details
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Balance Type: | debit
Period Type: | duration

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- Definition Amount of consideration transferred, consisting of acquisition-date fair value of assets transferred by the acquirer, liabilities incurred by the acquirer, and equity interest issued by the acquirer. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 30 -Section 30 -Paragraph 8 -URI https://asc.fasb.org/extlink&oid=126966197&loc=d3e6613-128477 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126975305&loc=d3e6927-128479 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 30 -Section 30 -Paragraph 7 -URI https://asc.fasb.org/extlink&oid=126966197&loc=d3e6578-128477 + Details
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Balance Type: | credit
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- Definition Per share or per unit amount of equity securities issued. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | na
Period Type: | instant

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- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References No definition available. + Details
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- Details
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Namespace Prefix: |
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- Details
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Namespace Prefix: |
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Balance Type: |
Period Type: |