Question

A grilled chicken salad at a popular fast food restaurant contains $650$ milligrams (mg) of sodium, which is $27\%$ of the recommended daily amount. What is the total recommended daily amount of sodium?

Short answer

The total recommended daily amount of sodium is $2407$milligrams.

Step-by-step solution

Step 1. Given Information  

A grilled chicken salad contains $650$ milligrams of sodium and it is$27\%$ of the recommended daily amount. We have to find the total recommended daily amount of sodium.

Step 2. Translate into an equation 

Let xbe the total amount of sodium.

Now, $27\%$of the total recommended daily amount of sodium is $650$milligrams

So, the equation is

$\left(27\%\right)·x=650$

Step 3. Solve the equation 

By proceeding with the calculation further

$$\begin{gathered} \left(27\%\right)·x=650 \\ \left(0.27\right)·x=650 \\ x=\frac{650}{0.27} \\ x\approx 2407 \end{gathered}$$

Step 4. Check the answer  

So, yes$27\%\mathrm{of}2407\mathrm{is}650.$

Thus, the total recommended daily amount of sodium is $2407$milligrams.