What percent of 4 is 7?
The Correct Answer and Explanation is :
To find out what percent of 4 is 7, you can use the formula:
[
\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
Here, the “part” is 7, and the “whole” is 4. Substituting these values into the formula:
[
\text{Percent} = \left( \frac{7}{4} \right) \times 100 = 1.75 \times 100 = 175\%
]
So, 7 is 175% of 4.
Explanation:
- Understanding Percentages: A percentage is simply a way of expressing a number as a fraction of 100. When we say “X percent,” it means X parts out of 100. For example, 50% means 50 out of 100, or 0.5 in decimal form.
- The Formula: To find what percent one number is of another, divide the first number (the part) by the second number (the whole), then multiply by 100. This formula gives you the percentage relationship between the two numbers.
- Why is 7 more than 100% of 4?: If the “part” (7) is greater than the “whole” (4), the result will be more than 100%. This is because percentages over 100% represent a value that is greater than the reference amount. In this case, 7 is 175% of 4, meaning it’s 75% more than 4, or 1.75 times larger.
- Practical Use: Knowing how to calculate percentages is a valuable skill in daily life, whether you are determining discounts, interest rates, or changes in quantity.
In summary, 7 is 175% of 4, and the calculation reflects how much larger 7 is compared to 4.