It depends. As Nanoha alludes to, percentages have no intrinsic meaning or value, but they can be a useful way to present relative figures in terms of something everyone "gets". So how to present a meaningful percentage is difficult to say without context.
For example, if 9 and 34 were test scores out of a hundred (hopefully not!), then I imagine for most people natural "unit" to explain such figures in terms of is the overall maximum value of 100, and not just relative to one another. If you are talking about interest rates for a bank account, there is no such reference figure so a percentage in terms of your balance makes sense.
Does representing the information with a percentage add to your understanding? A simple ratio might be easier to understand, i.e. 2.78 or nearly 3 times higher.
Was there any intermediate data points between 9 and 34, and could there be more data points in future? If so, a graph depicting how the value is changing over time can convey lots more information than just a relative comparison of the first and last data points. For example, if the value appears to be growing exponentially then that is very different than if it looks like grew fast at first but is now reaching some upper limit.