To determine what percentage 150 is of 500, follow these steps:
1. Understand the percentage concept:
A percentage is a way of expressing a number as a fraction of 100. It allows us to compare ratios in terms of parts per hundred.
2. Identify the part and the whole:
In this problem:
- The part is 150.
- The whole is 500.
3. Set up the percentage formula:
To find the percentage, you can use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
\][/tex]
4. Substitute the given values into the formula:
[tex]\[
\text{Percentage} = \left(\frac{150}{500}\right) \times 100
\][/tex]
5. Calculate the fraction:
[tex]\[
\frac{150}{500} = 0.3
\][/tex]
6. Convert the fraction into a percentage:
[tex]\[
0.3 \times 100 = 30
\][/tex]
Therefore, 150 is 30% of 500.