We calculate in an analytical fashion the energies and net spins of Skyrmions in fractional quantum Hall systems, based on the suggestion that Skyrmion states are spontaneously L(Z) and S-Z symmetry-breaking states. The quasihole-Skyrmion state with a charge -e/3 around nu = 1/3, where the ground state is known as a spin-polarized ferromagnetic state, is found to exist even in high magnetic fields up to about 7 T for GaAs samples.