Just to digress on Sam's answer, here is how I created two helper methods to make searches a bit easier using the LIKE operator.
First, creating a method for generating a parameterized query, this method uses dynamic: , but creating a strongly typed generic method should be more desired in many cases where you want static typing instead of dynamic.
public static dynamic ParameterizedQuery(this IDbConnection connection, string sql, Dictionary<string, object> parametersDictionary)
{
    if (string.IsNullOrEmpty(sql))
    {
        return null;
    }
    string missingParameters = string.Empty;
    foreach (var item in parametersDictionary)
    {
        if (!sql.Contains(item.Key))
        {
            missingParameters += $"Missing parameter: {item.Key}";
        }
    }
    if (!string.IsNullOrEmpty(missingParameters))
    {
        throw new ArgumentException($"Parameterized query failed. {missingParameters}");
    }
    var parameters = new DynamicParameters(parametersDictionary);
    return connection.Query(sql, parameters);
}
Then adding a method to create a Like search term that will work with Dapper.
public static string Like(string searchTerm)
{
    if (string.IsNullOrEmpty(searchTerm))
    {
        return null;
    }
    Func<string, string> encodeForLike = searchTerm => searchTerm.Replace("[", "[[]").Replace("%", "[%]");
    return $"%{encodeForLike(searchTerm)}%";
}
Example usage:
var sql = $"select * from products where ProductName like @ProdName";
var herringsInNorthwindDb = connection.ParameterizedQuery(sql, new Dictionary<string, object> { { "@ProdName", Like("sild") } });
foreach (var herring in herringsInNorthwindDb)
{
    Console.WriteLine($"{herring.ProductName}");
}
And we get our sample data from Northwind DB:

I like this approach, since we get helper extension methods to do repetitive work.