SAT Question 05195d8a: Percentages answer and explanation with Desmos solution

Let $x$ represent the total number of items in the sample. It's given that $80\%$ of the items are faulty and that there are $88$ faulty items in the sample. Therefore, $80\%$ of $x$ is $88$. Since $80\%$ can be rewritten as $\frac{80}{100}$, it follows that $\frac{80}{100}x=88$. Multiplying both sides of this equation by $100$ yields $80x=8,800$. Dividing both sides of this equation by $80$ yields $x=110$. Therefore, there are $110$ total items in the sample.