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Document And Entity Information - USD ($)
12 Months Ended
Dec. 31, 2019
Mar. 06, 2020
Jun. 30, 2019
Document And Entity Information [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    
Entity Registrant Name UNITED BANCORP INC /OH/    
Entity Central Index Key 0000731653    
Current Fiscal Year End Date --12-31    
Entity Well-known Seasoned Issuer No    
Entity Voluntary Filers No    
Entity Interactive Data Current Yes    
Entity Filer Category Non-accelerated Filer    
Entity Public Float     $ 55,046,501
Trading Symbol UBCP    
Entity Current Reporting Status Yes    
Entity Common Stock, Shares Outstanding   5,916,951  
Entity Emerging Growth Company false    
Entity Small Business true    
Entity Shell Company false