And in 5 seconds more, does it come back to 95%? Then the battery has a dendrite. It's a manufacturing defect (but try to get them to replace it under the "manufacturing defects" warranty).
Does it come back to 5% and stay there, or drop lower? It's either a bad battery, or something in the phone is shorting, killing the battery very quickly. (Only monitoring the current drain at the battery terminals over a few of these cycles will determine which.) But you can get a couple of new batteries and a charger from some Amazon partners for bout $15 for the package.