  We prove the following result: if a $\mathbb{Q}$-Fano variety is uniformly
K-stable, then it admits a K\"{a}hler-Einstein metric. We achieve this by
modifying Berman-Boucksom-Jonsson's strategy with appropriate perturbative
arguments and non-Archimedean estimates. The idea of using the perturbation is
motivated by our previous paper.
