I started by removing the parts of the wipe container that were made to hold the wipes so you could get one at a time. It left me with what you can see at the left. I just used a pair of kitchen shears to do this. The plastic was fairly flexible so it was easy to trim out the parts.
Then I grabbed one of the squished rolls of toilet paper and worked the cardboard roll out of the center. This took me more time than expected and I found that the roll being squished actually helped matters! The tissue was also stuck to the cardboard roll so it came out like butter!. A tip here is to go slow and be gentle.
I gently squished the roll into the wipes container and repeated the process for the other roll. I do have to say I'm not sure this would work with the extra large rolls of toilet paper because they are so much bigger. We use the cheap stuff because it biodegrades quicker. I just put on the lid after this and admired my handy dandy work. Now the t.p. was squish protected, water resistant, and I wouldn't have half used rolls taking up all sorts of space! Our t.p.stash went from taking up a double shoe box to this small container!