What is asked in this mathematical problem, 32 is what percent of 80
The Correct Answer and Explanation is:
Problem:
“32 is what percent of 80?”
Correct Answer:
To find what percent 32 is of 80, you use the formula: Percent=(PartWhole)×100\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
Here, the part is 32 and the whole is 80: Percent=(3280)×100=0.4×100=40%\text{Percent} = \left( \frac{32}{80} \right) \times 100 = 0.4 \times 100 = 40\%
So, 32 is 40% of 80.
Explanation:
This problem is a classic example of percentage calculation, often found in basic arithmetic or pre-algebra courses. It asks you to find what percentage one number (32) is of another number (80). In other words, you are trying to determine how much 32 represents when compared to the whole quantity, which in this case is 80.
To solve this, we apply the formula for percentage: Percent=(PartWhole)×100\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
This formula works because a percent is simply a ratio or fraction expressed out of 100. When you divide the part by the whole, you get a decimal number that shows the proportion. Multiplying by 100 converts that decimal into a percentage.
Let’s break it down:
- First, divide 32 by 80: 3280=0.4\frac{32}{80} = 0.4
- Then, multiply 0.4 by 100 to get the percentage: 0.4×100=40%0.4 \times 100 = 40\%
This means that 32 represents 40% of the value of 80.
This concept is used in many real-life situations: calculating discounts, test scores, or proportions in data analysis. For example, if a student scores 32 points on a test where the maximum is 80, their score would be 40%.
Understanding how to calculate percentages is essential for budgeting, finance, shopping, and interpreting data. It helps in comparing quantities relative to a standard base—usually 100—which makes it easier to interpret and communicate numerical information clearly.
