Have you ever needed to find a percentage but didn’t know where to start? Whether you’re a student struggling with math problems or calculating a discount during a sale, understanding how to obtain a percentage is a valuable skill. In this comprehensive guide, we’ll break down the steps to help you master the art of percentage calculation.

What is a percentage?

A percentage represents a portion of a whole which is divided into 100 equal parts. It is often denoted by the symbol “%”. Percentages are commonly used in a wide variety of situations, such as calculating taxes, interest rates, grades, and more.

How to calculate a percentage of a number?

Calculating a percentage of a number involves a simple formula:

(Percentage / 100) x Number = Result

Let’s illustrate this with an example. Say you want to calculate 20% of 500:

(20 / 100) x 500 = 0.2 x 500 = 100

So, 20% of 500 is 100.

How to find the percentage increase or decrease?

To determine the percentage increase or decrease from one value to another, follow these steps:

  • Subtract the initial value from the final value.
  • Divide that result by the initial value.
  • Multiply the answer by 100.

For example, let’s find the percentage increase from 50 to 75:

Step 1: 75 – 50 = 25

Step 2: 25 / 50 = 0.5

Step 3: 0.5 x 100 = 50

So, there is a 50% increase from 50 to 75.

How to calculate a percentage discount?

Calculating a percentage discount is useful when shopping or finding sale prices. Here’s the formula:

Discounted Price = Original Price – (Percentage / 100) x Original Price

For example, if an item originally costs $80 and is on a 25% discount:

Discounted Price = 80 – (25 / 100) x 80 = 80 – 0.25 x 80 = 80 – 20 = $60

The discounted price is $60.

Understanding how to obtain a percentage is a fundamental skill for everyday life. From simple calculations to more complex scenarios, percentages play a crucial role. By following the formulas and steps outlined in this comprehensive guide, you can confidently tackle percentage calculations in various situations. So next time you encounter a percentage problem, remember the techniques you’ve learned here and solve it with ease!

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