Question

423 is 45% of what number? round your answer to the nearest hundredth, if necessary.

Answer 1

We are looking at the number that when evaluated its 45%, we get 423. We let x be that original number. If we multiply x by 45%, or 0.45, we must get 423. We can write an equation representing this as

$0.45\times x=423$

Solve for the value of x, we have

$\begin{gathered} \frac{\cancel{0.45}x}{\cancel{0.45}}=\frac{423}{0.45} \\ x=\frac{423}{0.45} \\ x=945 \end{gathered}$

Thus, the original number is equal to 945.

Answer: 945