Question

One serving of rice cereal has 190 mg of sodium, which is 8% of the recommended daily amount. What is the total recommended daily amount of sodium?

Short answer

If the amount of sodium in one serving of rice cereal is $190$mg and $8$% of the recommended daily amount is $190$mg then the total amount of daily recommended sodium will be $2375$mg.

Step-by-step solution

Step 1. Given information  

The amount of sodium in one serving of rice cereal is $190$mg.

$8$% of the recommended daily amount is $190$mg.

Step 2. The total recommended daily amount of sodium

Consider the total recommended daily amount of sodium is a

$190$mg is $8$% of the total recommended daily amount of sodium

$$\begin{gathered} 190=0.08\times a \\ \frac{190}{0.08}=a \\ a=2375 \end{gathered}$$

So the daily recommended amount of sodium is $2375$mg

Step 3. Verification 

Use present formula

$$\begin{gathered} PercentP=\frac{amount}{totalamount}\times 100 \\ P=\frac{190}{2375}\times 100 \\ P=0.08\times 100 \\ P=8\% \end{gathered}$$

$190$mg is $8$% of $2375$mg of sodium

So daily recommended amount of sodium is$2375$mg is correct.