Solving Percentage Problems Made Easy: Tricks and Techniques to Know

Percentage problems are often dreaded by math students and people in their everyday lives when faced with a task that involves calculating percentages. However, solving percentage problems can be made easy with the proper tricks and techniques. In this article, we will delve into the best ways to solve percentage problems efficiently and effectively.

Understand the Basics

When it comes to solving percentage problems, it’s important to understand the basics of what a percentage is. A percentage is a way of expressing a portion of a whole as a fraction of 100. For example, if we say that 50% of a class of 30 students is absent, we mean that 15 students are absent. To convert a percentage to a fraction, simply divide it by 100. For example, 25% is equal to 0.25 when expressed as a decimal.

Knowing the basic definition of percentages is vital when solving problems because most percentage problems involve finding a percentage of a given quantity, such as finding what percent of a certain number is another number. Once you’ve mastered the basics, there are various techniques you can apply to help you solve percentage problems with ease.

Technique One – Finding a Percentage of a Number

One of the most common types of percentage problems involve finding what percentage of a given number another number is. For example, you may be asked to find what percent of 80 is 48. To solve this type of problem, you need to use the formula:

Part/Whole x 100 = %

Where “part” represents the smaller number and “whole” represents the larger number. In this example, the part is 48, and the whole is 80. So, we can substitute these values into the formula:

48/80 x 100 = 60%

Therefore, 48 is 60% of 80.

Technique Two – Finding a Number When Given a Percentage

Another common type of percentage problem involves finding the value of a number when given a percentage. For example, you may be asked to find what number is 20% of 80. To solve this type of problem, use the formula:

Percentage/100 x Whole = Part

In this example, the percentage is 20%, the whole is 80, and the part is the number we want to find. So, we can substitute these values into the formula:

20/100 x 80 = 16

Therefore, 20% of 80 is 16.

Technique Three – Percent Increase/Decrease

A percentage increase or decrease problem measures the change from an original value to a new value as a percentage. For example, you may be asked to determine the percentage increase from 400 to 500 or the percentage decrease from 100 to 50. The formula for calculating percent increase or decrease is as follows:

% Change = (New Value – Old Value) / Old Value x 100

If the new value is greater than the old value, the percentage is an increase. If the new value is less than the old value, the percentage is a decrease.

Practice, Practice, Practice

The key to mastering percentage problems is to practice consistently. The more you practice, the more confident you will become in your problem-solving abilities. Try to solve percentage problems in different contexts, such as in a math textbook, financial reports, or everyday problems you may encounter. It will help you to see the practical applications of percentages, making it easier to apply your knowledge to new problems in the future.

In conclusion, understanding the basics, using the proper formulae, and consistent practice are the essential strategies to solve percentage problems with ease. By implementing these techniques, you can successfully tackle even the most challenging percentage problems you encounter.