SAT Question a51e6f93: Percentages answer and explanation with Desmos solution

It’s given that $0.1152$ is $0.08\%$ of the number $b$. It follows that $0.1152=\frac{0.08}{100}b$, or $0.1152=0.0008b$. Dividing both sides of this equation by $0.0008$ yields $144=b$. It’s also given that the number $b$ is $25\%$ of the number $c$. It follows that $b=\frac{25}{100}c$, or $b=0.25c$. Substituting $144$ for $b$ in this equation yields $144=0.25c$. Dividing both sides of this equation by $0.25$ yields $576=c$. Therefore, the value of $c$ is $576$.