yea, it looks like the walls are thinner than your extrusion width. But there are some nice settings you can use for exactly this reason.
here's how I would print this part. For the bottom section, you want a stronger, wider print, so maybe 2 perimeter outlines with 40% infill. Then for the top "cutting" piece, you really only want a single perimeter outline. So we are going to make 2 processes, one for each region. This way you can actually use different settings for the different regions (they have a tutorial on this if you are interested:
http://www.simplify3d.com/support/tutor ... f-a-model/).
For example's sake, let's say that the transition between the bottom section and the thin cutting section occurs at a Z-height of 8mm. You can use the cross section tool (View > Cross Section) if you need help figuring out the exact location of the change on your model.
Process 1 - Choose 2 perimeter outlines, 40% infill, and then go to the Advanced tab and enable the "Stop printing at height" option and enter a value of 8mm. This way, this process will only print from 0-8mm.
Click "Add" in the main window to add a second process.
Process 2 - Choose only 1 perimeter outline, 0% infill, 0 top solid layers, and 0 bottom solid layers. Then go to the Advanced tab and setup as follows: make sure the "Stop printing at height option" is disabled and then enable the "Start printing at height option" and enter the same value of 8mm. This way the process will start printing at 8mm and continue for the rest of the model. Finally, there is one more change to help ensure that you get a perfect single-outline print. Enable the "Merge all outlines into single solid model" option.
When you slice, just select both processes and the software will merge them together. This is a really powerful option to use for parts that need different settings in different regions. For example, if you wanted, you could have even used the helical vase mode for that second process since it can have completely different settings than the first process.
I tried this with one of the other batman cookie cutters I found on Thingiverse. You can see a screenshot of the results below.