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Document and Entity Information - USD ($)
 12 Months Ended
Dec. 31, 2019
Feb. 21, 2020
Jun. 30, 2019
Cover [Abstract]      
Document Type 10-K    
Amendment Flag false    
Document Period End Date Dec. 31, 2019    
Document Fiscal Year Focus 2019    
Document Fiscal Period Focus FY    
Trading Symbol FMAO    
Entity Registrant Name FARMERS & MERCHANTS BANCORP INC    
Entity Central Index Key 0000792966    
Current Fiscal Year End Date --12-31    
Entity Well-known Seasoned Issuer No    
Entity Current Reporting Status Yes    
Entity Voluntary Filers No    
Entity Filer Category Accelerated Filer    
Entity Small Business true    
Entity Emerging Growth Company false    
Entity Shell Company false    
Entity File Number 001-38084    
Entity Tax Identification Number 34-1469491    
Entity Address, Address Line One 307 North Defiance Street    
Entity Address, City or Town Archbold    
Entity Address, Postal Zip Code 43502    
City Area Code (419)    
Local Phone Number 446-2501    
Entity Incorporation, State or Country Code OH    
Document Annual Report true    
Document Transition Report false    
Entity Interactive Data Current Yes    
Entity Address, State or Province OH    
Title of 12(b) Security Common Stock, No Par Value    
Security Exchange Name NASDAQ    
Entity Common Stock, Shares Outstanding   11,134,871  
Entity Public Float     $ 323,412,049
Documents Incorporated by Reference

Part III of Form 10-K – Portions of the definitive Proxy Statement for the 2020 Annual Meeting of Shareholders of Farmers & Merchants Bancorp, Inc.