Coat the edges of the electrical box for the plug or switch with red lipstick. Put it on fairly thick to make sure it transfers to the back side of the drywall.
Get the sheet of drywall in position up against the wall and firmly press the drywall up against the electrical box in the wall.
Pul the drywall away from the wall and confirm the red lipstick has transferred to the back of the drywall. If it hasn't, coat the edge of the electrical box again and repeat the process.
Use the keyhole saw to cut along the lipstick lines on the drywall. Take your time, to make sure the knife doesn't stray away from the intended path.
Use a utility knife to trim off any excess paper on the front side of the drywall.
Place the sheet of drywall up against the wall and secure it to the studs.