After buying both the charcoal filter and grease filter the process was relatively simple. The grease filter simply required shifting it to the left to remove it from the microwave. Adding the new filter was as easy to install as to remove it.
The charcoal filter needed a little bit more work. You had to unscrew (2) Phillips screws by removing the top part of the microwave. From there, just pull the charcoal filter out and gently place the new filter in.