What percent of 40 is 25
The Correct Answer and Explanation is :
The correct answer is: 62.5%
To find what percentage 25 is of 40, you can use the formula for calculating percentages:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the “part” is 25 and the “whole” is 40. Plugging these values into the formula gives:
[
\text{Percentage} = \left( \frac{25}{40} \right) \times 100
]
Calculating this step-by-step:
- Divide 25 by 40:
[
\frac{25}{40} = 0.625
] - Multiply by 100 to convert to a percentage:
[
0.625 \times 100 = 62.5
]
So, 25 is 62.5% of 40.
Explanation
Understanding percentages is crucial in various fields, such as finance, statistics, and everyday life. A percentage represents a fraction of 100, providing a way to express a number as a part of a whole. In this example, we wanted to determine how much 25 represents out of 40.
The formula used involves two components: the part (25) and the whole (40). The calculation begins by dividing the part by the whole, yielding a decimal that represents the proportion of the whole that the part constitutes. In this case, dividing 25 by 40 results in 0.625, indicating that 25 is a little more than half of 40.
To express this decimal as a percentage, we multiply by 100. This step transforms the decimal (0.625) into a more easily interpretable format: 62.5%. This means that if you had 40 items, 25 of those items would represent 62.5% of the total.
Understanding this concept is useful in making comparisons and informed decisions, whether in budgeting, evaluating performance, or assessing proportions in various scenarios. Knowing how to calculate percentages can help in many real-world situations, such as determining discounts, interest rates, and statistical data.