Earlier quoted context omitted.
A dehumidifier is essentially an air conditioner that dumps heat back into your living space. What you are doing sounds inefficient.
Yep. They're adding heat to the inside of their home. They need to use an AC unit to remove the moisture and pump the heat outside.
In my case I did some tests, and the additional power usage of the dehumidifier is way more than offset by the power savings I realize by running the air conditioner less frequently. This only works because the dehumidifier enables me to be comfortable at a higher indoor temperature.