How to Retrieve the Original Number from a Given Percentage- A Step-by-Step Guide

How to Find Original Number from Percentage

In many real-life situations, we often encounter the need to find the original number when given a percentage. Whether it’s calculating discounts, determining percentages of a population, or solving mathematical problems, understanding how to find the original number from a percentage is essential. In this article, we will explore various methods and techniques to help you master this skill.

Understanding the Concept

Before diving into the methods, it’s crucial to have a clear understanding of the concept. A percentage represents a fraction of 100. For instance, 50% is equivalent to 50/100 or 0.5. When we say “find the original number from a percentage,” we mean to determine the whole number that corresponds to a given percentage.

Method 1: Using Division

The most straightforward method to find the original number from a percentage is by using division. To do this, follow these steps:

1. Convert the percentage to a decimal by dividing it by 100.
2. Divide the given number by the decimal obtained in step 1.

For example, if you want to find the original number when given 20% of 150, follow these steps:

1. Convert 20% to a decimal: 20/100 = 0.2
2. Divide 150 by 0.2: 150 / 0.2 = 750

So, the original number is 750.

Method 2: Using Cross-Multiplication

Another method to find the original number from a percentage is by using cross-multiplication. This method is particularly useful when you’re given the percentage and the part of the whole. Here’s how to do it:

1. Write the percentage as a fraction of 100.
2. Multiply the given number by the fraction obtained in step 1.
3. Divide the result by the percentage.

For instance, if you want to find the original number when given 30% of 200, follow these steps:

1. Write 30% as a fraction: 30/100
2. Multiply 200 by 30/100: 200 30/100 = 60
3. Divide 60 by 30: 60 / 30 = 2

So, the original number is 2.

Method 3: Using the Formula

There’s also a formula you can use to find the original number from a percentage. The formula is:

Original Number = (Given Number / Percentage) 100

For example, if you want to find the original number when given 40% of 300, follow these steps:

1. Original Number = (300 / 40) 100
2. Original Number = 7.5 100
3. Original Number = 750

So, the original number is 750.

Conclusion

Finding the original number from a percentage is a valuable skill that can be applied in various situations. By understanding the concept and mastering the methods discussed in this article, you’ll be able to solve percentage-related problems with ease. Whether you choose to use division, cross-multiplication, or the formula, the key is to practice and become familiar with the techniques. Happy calculating!