Certainly! Let's solve this step by step.
We are given that 25% of a number is 100. We need to find out what the original number is.
1. Understand the problem statement:
- 25% of a number (let's call this number [tex]\( X \)[/tex]) is 100.
2. Express the percentage as a fraction:
- 25% can be written as [tex]\( \frac{25}{100} \)[/tex] or [tex]\( 0.25 \)[/tex].
3. Set up the equation:
- [tex]\( 0.25 \times X = 100 \)[/tex]
4. Solve for [tex]\( X \)[/tex]:
- To find [tex]\( X \)[/tex], divide both sides of the equation by 0.25:
[tex]\[
X = \frac{100}{0.25}
\][/tex]
5. Perform the division:
[tex]\[
X = 400
\][/tex]
Therefore, the number is [tex]\( \mathbf{400} \)[/tex].
The correct answer is:
O E. 400
