The notation $_{13}^{27}X$ tells us that the element X has an atomic number of 13. The atomic number corresponds to the number of protons and, in a neutral atom, also the number of electrons. Element 13 is aluminum (Al).
Aluminum is in group 13 of the periodic table. Elements in group 13 have 3 valence electrons. To achieve a stable electron configuration, aluminum tends to lose these 3 valence electrons. When an atom loses electrons, it becomes a positively charged ion (a cation).
Since aluminum loses 3 electrons, its charge becomes +3.