25 is 20% of what number?
The Correct Answer and Explanation is :
To find out what number 25 is 20% of, you can use the formula for percentages:
[
\text{Part} = (\text{Percentage}) \times (\text{Whole})
]
Here:
- The Part is 25.
- The Percentage is 20%, which is written as 0.20 in decimal form.
- The Whole is the unknown value we need to find.
Step-by-Step Solution:
- Use the formula:
[
25 = 0.20 \times \text{Whole}
] - Rearrange the formula to solve for the Whole:
[
\text{Whole} = \frac{\text{Part}}{\text{Percentage}} = \frac{25}{0.20}
] - Perform the division:
[
\text{Whole} = 125
]
Final Answer:
25 is 20% of 125.
Explanation:
Percentages express a part of a whole as a fraction of 100. In this case, 20% means “20 out of 100” or ( \frac{20}{100} ), which simplifies to 0.20 in decimal form. When solving problems like this, we determine the whole by dividing the part by the percentage in decimal form.
Visualize it as a pie chart divided into 100 equal pieces. If 20% represents 25, then dividing ( 25 ) by ( 0.20 ) essentially calculates how many total pieces the entire pie would have, which gives you 125.
This method can be applied to any similar question where you know the part and the percentage and need to find the total. Always ensure to convert the percentage to a decimal by dividing it by 100 before performing calculations.
Understanding this process strengthens your ability to solve percentage problems in various real-life contexts, such as calculating discounts, interest rates, or proportions in nursing or other professions.