Question

$30$ is what percent of$20?$

Short answer

$30\mathrm{is}150\%\mathrm{of}20.$

Step-by-step solution

Step 1. Given Information

The value is$20.$

The final amount is$30.$

Step 2. Translate into algebra  

Let p is a percentage.

So, algebra is

$30=20·p$

Step 3. Simplify

By proceeding with the calculation further

$$\begin{gathered} 30=20·p \\ \frac{30}{20}=p \\ 1.5=p \end{gathered}$$

Step 4. Convert to percent 

To convert into percent multiply the value of pby$100\%$

So,

$$\begin{gathered} p=1.5\times 100\% \\ p=150\% \end{gathered}$$