What percentage of $25 is $15?
The Correct Answer and Explanation is :
To calculate what percentage $15 is of $25, you can use the following formula:
[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
Where:
- The “Part” is the amount you’re trying to find the percentage of, which is $15.
- The “Whole” is the total amount, which is $25.
Step 1: Substitute the values into the formula
[
\text{Percentage} = \left(\frac{15}{25}\right) \times 100
]
Step 2: Simplify the fraction
[
\frac{15}{25} = 0.6
]
Step 3: Multiply by 100 to convert to a percentage
[
0.6 \times 100 = 60
]
Thus, $15 is 60% of $25.
Explanation:
To understand this calculation, let’s break it down:
- What is a percentage?
A percentage is a way of expressing a number as a fraction of 100. It’s often used to compare parts to a whole. For example, if a person answers 80 out of 100 questions correctly on a test, they score 80%. - Why do we divide the part by the whole?
Dividing the part by the whole gives the fraction of the whole that is represented by the part. In this case, $15 is part of $25, so dividing 15 by 25 gives us the portion of $25 that $15 represents. - Why multiply by 100?
After finding the fraction (0.6), we multiply by 100 to convert it into a percentage form, making it easier to understand in everyday terms (60%).
Thus, when you calculate what percentage $15 is of $25, you get 60%. This means that $15 is 60% of $25, or 60 out of every 100 parts of $25.