20 is 25% of what number
The Correct Answer and Explanation is:
To determine the number that 20 is 25% of, we need to use the concept of percentages. The formula for calculating percentages is:
[
\text{Percentage} = \text{Part} \div \text{Whole} \times 100
]
In this case:
- The part is 20 (since 20 is the number we know).
- The percentage is 25%.
- The whole is the unknown number, which we need to find.
We can rearrange the formula to solve for the whole:
[
\text{Whole} = \frac{\text{Part} \times 100}{\text{Percentage}}
]
Now, substitute the known values into the formula:
[
\text{Whole} = \frac{20 \times 100}{25}
]
[
\text{Whole} = \frac{2000}{25}
]
[
\text{Whole} = 80
]
So, 20 is 25% of 80.
Explanation:
The percentage formula works by relating the part of a whole to the total. In this case, 25% means that 20 is one-fourth (25 out of 100) of the unknown total. To find that total, we can set up a simple equation using the concept of a percentage.
When we rearrange the formula, we isolate the variable representing the whole. By multiplying 20 by 100 and dividing by 25, we determine that the total number, or the whole, is 80.
This method is applicable in many scenarios where you are asked to find the whole based on a known percentage. Understanding how to rearrange the percentage formula and apply it will help you solve similar problems efficiently.
In summary, when given a percentage of a number, you can find the original number (the whole) by dividing the part by the percentage (in decimal form). In this case, 20 represents 25% of 80.