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Introduction
Have you ever been stumped by a simple math problem like “2 is what percent of 7”? Don’t worry, you’re not alone. In this article, we will break down the problem step-by-step and provide you with a comprehensive guide to solving it.
Understanding Percentages
Before we dive into the problem at hand, let’s first understand what percentages are. A percentage is a way of expressing a number as a fraction of 100. For example, 50% is the same as 50/100 or 0.5.
The Formula
The formula for finding the percentage of a number is: (part/whole) x 100. In this case, the “part” is 2 and the “whole” is 7. So, the formula becomes:
(2/7) x 100 = 28.57%
Understanding the Formula
Let’s break down the formula to understand why it works. The “part” refers to the number we want to find the percentage of. In this case, we want to find the percentage of 2. The “whole” refers to the total number. In this case, the total number is 7.
We then divide the part by the whole to get a decimal value. In this case, 2 divided by 7 is 0.2857.
Finally, we multiply the decimal value by 100 to get the percentage. In this case, 0.2857 multiplied by 100 is 28.57%.
Alternative Methods
Another way to find the percentage of a number is to use cross-multiplication. To do this, we can set up a proportion:
2/7 = x/100
Where “x” is the percentage we want to find. We then cross-multiply:
2 x 100 = 7 x x
200 = 7x
x = 28.57%
This method may be more intuitive for some people, but it ultimately gives us the same answer.
Real-World Applications
Percentages are used in many real-world situations. For example, if you’re shopping and see a sale that says “20% off,” you can use percentages to calculate the sale price. Similarly, if you’re trying to lose weight and want to track your progress, you can use percentages to calculate your body fat percentage.
Tips for Solving Percentage Problems
If you’re struggling with percentage problems like “2 is what percent of 7,” here are some tips to keep in mind:
- Always start with the formula: (part/whole) x 100
- Make sure you understand what the “part” and “whole” refer to
- Convert decimals to percentages by multiplying by 100
- Convert percentages to decimals by dividing by 100
- Use cross-multiplication if it helps you understand the problem better
Conclusion
In conclusion, “2 is what percent of 7” can be solved using the formula (part/whole) x 100 or by setting up a proportion and cross-multiplying. Percentages are a useful tool in many real-world situations, and understanding how to calculate them is an important skill. By following the tips provided in this article, you’ll be able to solve percentage problems with ease.
