Combine 1 cup of salt, 1 cup of baking soda and 1 cup of white vinegar in a large bowl. Mix into a paste-like consistency.
Slather the paste all over the tile surrounding the toilet. Use a scrub brush to help it further penetrate the tile.
Allow the scrubbed-in paste to dry for about 20 minutes. The baking soda will absorb any leftover urine and the white vinegar will cancel out and eliminate the odor.
Wipe the paste away using a dampened soft cloth. Buff the area dry. Don't worry if the vinegar smell is especially strong -- as time passes it will dissipate.