The Barycenter of our Solar System is the mutual center of mass of the total Solar System with the Sun and all it's Planets.
So the Sun and the Planets orbit this mutual center. This center or Barycenter of our Solar System moves depending the position of the planets. The location of the Barycenter is mainly driven by Jupiter and next by Saturnus, Uranus, ...
Sometimes the Barycenter is located within "the Sun" but as it is currently, the Narycenter is located outise the photosphere of the Sun. See picture above - the Sun is drawn in Yellow.
