To solve for the base when given that 23 is 0.25% of some number, follow these steps:
1. Identify the key components:
- The value you have is 23.
- The percentage given is 0.25%.
2. Convert the percentage to decimal form:
- To convert 0.25% to decimal form, divide by 100:
[tex]\[
0.25\% = \frac{0.25}{100} = 0.0025
\][/tex]
3. Set up the equation:
- Use the formula for finding the base from a percentage:
[tex]\[
\text{value} = \text{percentage} \times \text{base}
\][/tex]
- Substituting the known values:
[tex]\[
23 = 0.0025 \times \text{base}
\][/tex]
4. Solve for the base:
- To isolate the base, divide both sides of the equation by 0.0025:
[tex]\[
\text{base} = \frac{23}{0.0025}
\][/tex]
5. Calculate the base:
- Perform the division:
[tex]\[
\text{base} = 9200
\][/tex]
Therefore, 23 is 0.25% of 9200. The base is 9200.
