Find the percent of the number 25% of 80
The Correct Answer and Explanation is :
The correct answer is: 20
To find the percent of a number, we follow a few straightforward steps. In this case, we need to find what 25% of 80 is and then interpret that result as a percentage of 80.
Step 1: Calculate 25% of 80.
To do this, we convert the percentage into a decimal and then multiply it by the number:
[
25\% = \frac{25}{100} = 0.25
]
Now, we multiply 0.25 by 80:
[
0.25 \times 80 = 20
]
So, 25% of 80 is 20.
Step 2: Determine what percent 20 is of 80.
Next, we want to find out what percent 20 is of 80. We can use the formula:
[
\text{Percent} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
In this case, the “part” is 20 (the result from our first calculation), and the “whole” is 80.
Substituting the values in, we get:
[
\text{Percent} = \left(\frac{20}{80}\right) \times 100
]
Now, we simplify:
[
\frac{20}{80} = 0.25
]
Thus,
[
0.25 \times 100 = 25\%
]
Conclusion
Therefore, 25% of 80 is 20, and when we interpret this, we find that 20 is 25% of 80. This exercise illustrates a fundamental concept in percentages: finding a percentage of a number and then determining how that number relates to the original amount. It emphasizes the relationship between parts and wholes, which is crucial for understanding proportions in mathematics and real-world applications, such as finance, statistics, and data interpretation. Understanding these calculations helps in various fields, enabling informed decision-making based on numerical data.