What Percent of 40 is 24?
The Correct Answer and Explanation is:
To find the percentage of one number in relation to another, we use the formula:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case:
- Part = 24
- Whole = 40
Using the formula:
[
\text{Percentage} = \left( \frac{24}{40} \right) \times 100
]
Calculating:
- First, divide 24 by 40:
[
24 \div 40 = 0.6
] - Then, multiply by 100 to convert the decimal to a percentage:
[
0.6 \times 100 = 60
]
Answer: 24 is 60% of 40.
Explanation
The question “What percent of 40 is 24?” asks us to determine the proportion of 24 in relation to 40, expressed as a percentage. A percentage represents a number as a part of 100, making it easier to understand proportions or ratios.
To solve problems like this, the key is identifying the “part” and “whole.” Here, 24 is the part (or subset) we are comparing, and 40 is the whole (total amount). When we use the formula (\left( \frac{\text{Part}}{\text{Whole}} \right) \times 100), we are essentially seeing what fraction of the whole 24 represents, then converting this fraction to a percentage by multiplying by 100.
When dividing 24 by 40, we find that 24 is 0.6 times 40. Multiplying by 100 converts this decimal to a percentage, giving us 60%. This tells us that 24 represents 60% of 40.
Understanding percentages is useful in many areas, including finance (calculating interest or discounts), statistics (understanding data proportions), and daily tasks (like determining portions in recipes or comparing quantities). This problem is a straightforward example, but the method applies to any scenario where you need to find the percentage of one number relative to another.