Answer :

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.