Tax Rates By City in Cuyahoga County, Ohio. The total sales tax rate in any given location can be broken down into state, county, city, and special district rates. Ohio has a 5.75% sales tax and Cuyahoga County collects an additional 2.25%, so the minimum sales tax rate in Cuyahoga County is 8% (not including any city or special district taxes). This table shows the total sales tax rates for all cities and towns in Cuyahoga County, including all local taxes.