During a field density test, $1850$ g of soil $($total mass$)$ was excavated from a hole with a total volume of $900c{m}^3.$ The oven$-$dried mass of the soil was $1630$ g $.$ Determine the moisture content $(\%),$ dry density $(\frac{g}{c}{m}^3),$ and degree of saturation $(\%)$ of the field sample. Assume $G_s$ is $2\mathrm{.}71.$