  We propose a new dual description of four-dimensional $\mathcal{N}=1$ $SU(N)$
gauge theory with one adjoint ($X$) and $N_f$ fundamental matters with a
superpotential $W = \text{Tr}\, X^{p+1}$. The dual theory consists of the
$\mathcal{D}_p[SU(N)]$ Argyres-Douglas theory coupled to $SU(N)$ gauge theory
and $N_f$ fundamentals with a superpotential deformation. We study
renormalization group fixed points of the Argyres-Douglas dual theories with
and without superpotential deformations, and identify the conditions for them
to be dual to the fixed points of adjoint SQCD. We check our proposal via
matching central charges, chiral operators and superconformal indices. We find
that when $N_f = 2N$ and $p=2$, the dual theory flows to $\mathcal{N}=2$
$SU(N)$ superconformal QCD with $2N$ flavors upon suitable superpotential
deformation, exhibiting supersymmetry enhancement.
