What percentage of 500 is 25?
The Correct Answer and Explanation is :
To find what percentage 25 is of 500, you can use the formula:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
Here, 25 is the part, and 500 is the whole.
[
\text{Percentage} = \left( \frac{25}{500} \right) \times 100 = 5\%
]
Explanation:
In this problem, you are asked to find what percentage 25 is of 500. This is a basic percentage problem where you are determining how much one number (25) represents as a portion of another number (500).
- Step-by-step breakdown:
- First, divide the “part” (25) by the “whole” (500). This gives you the decimal representation of the part relative to the whole.
[
\frac{25}{500} = 0.05
] - Next, multiply the result by 100 to convert the decimal into a percentage:
[
0.05 \times 100 = 5\%
]
- Understanding percentages:
Percentages are a way to express a number as a fraction of 100. For example, 5% means “5 out of 100.” When we say that 25 is 5% of 500, we’re expressing that 25 is equivalent to 5 parts out of 100 parts of 500. - Real-world application:
Understanding percentage calculations is useful in many everyday situations, such as determining discounts, interpreting statistics, and making comparisons. For example, if you were looking at a sale where prices are reduced by a percentage, or analyzing data for work, these calculations would help you make informed decisions.
So, 25 is 5% of 500, and you can use this same method to calculate percentages for any other pair of numbers.