A solid sphere of mass $500 \mathrm{~g}$ and radius $5 \mathrm{~cm}$ is rotated about one of its diameter with angular speed of $10 ~\mathrm{rad} ~\mathrm{s}^{-1}$. If the moment of inertia of the sphere about its tangent is $x \times 10^{-2}$ times its angular momentum about the diameter. Then the value of $x$ will be ___________.