Question

The nutrition fact sheet at a fast food restaurant says the fish sandwich has $380$calories, and $171$calories are from fat. What percent of the total calories is from fat?

Short answer

$45\%$ of the total calories is from fat.

Step-by-step solution

Step 1. Given Information 

The fish sandwich has$380$ calories, and $171$calories are from fat. We have to find the percent of the total calories is from fat.

Step 2. Translate into an equation 

Let pbe the percentage.

Now, $171$calories are from fat, and the fish sandwich has total $380$calories

So, the equation is

$380·p=171$

Step 3. Solve the equation  

By proceeding with the calculation further

$$\begin{gathered} 380·p=171 \\ p=\frac{171}{380} \\ p=0.45 \\ \mathrm{Convert}\mathrm{into}\mathrm{percentage} \\ \mathrm{p}=0.45\times 100\% \\ \mathrm{p}=45\% \end{gathered}$$

Step 4. Check the answer 

So, yes $380\mathrm{of}45\%\mathrm{is}171.$

Thus,$45$percent of the total calories are from fat.