Insure you have all the tools ready to begin work, like a couple of crescent wrench’s, channel locks, putty knife to remove excess caulking, caulking, and a caulking gun.
There are three main plungers any DIYer need to have. (see picture). A lavatory plunger, sink plunger and in this case a water closet plunger.
The next tool for a DIYer is a water closet auger. Always use your plunger first before using a water closet auger.
If after attempting to unplug your water closet with a plunger and auger and the sewer is still not unplugged you will need to remove the toilet from the floor or wall and rent a sewer snake for 3-4 inch sewers. Your local rental store will help you on deciding which machine will work best for you (see example picture).
I recommend you gather all the items your going to need before you rent the sewer machine. The main reason is to keep the cost of the rental fee low.
First make a list of what your going to need. Example: Rags to put in the sewer to prevent the smell of methane gas entering the bathroom while your away getting parts, a new bowl wax, caulking, possibly new bolts.
Your next step is to insure you have every thing out of the way when you bring your sewer machine in your house. Gather your drop light, extension cord, and have every thing ready before you start.
Snake out your drain with the sewer machine. You will know if your making progress when the water begins to flow down the sewer.
Before you take your sewer machine back to the rental store I suggest that you run water down the sewer with a hose, typically a garden hose for at least five minutes to insure the sewer is running good.
When you place your toilet back on the closet flange insure your bolts are snug on the closet flange and put the bowl wax on the toilet before you set the toilet to the flange. Tighten the bolts while insuring the toilet is plumb, connect the water supply, and flush a few times to insure you have no leaks. Clean up the area and caulk around the toilet for aesthetics.