Percentage Calculator

This percentage calculator will help you to calculate the percentage change from one number to another. Enter the original number in the first box and then enter the resulting number in the second box and click calculate. The percentage change calculator will populate the answer with a step-by-step guide. On this page, we will discuss everything you need to know about percentage change and how to calculate without using calculator.

## What is percentage?

Percentage refers to a number that can be expressed as a fraction or a ratio of 100. You can also refer to percentage as a part of a number per 100. Percentage can also be expressed as fractions for example 10% is equivalent to 1/10. This is because 10% is same as 10/100 or 1/10 when simplified. 50% is equivalent to ½ because, 75 is equivalent to ¾  and 20% is equivalent to 1/5.

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## What is Percentage Change?

The percentage change can be either an increase or a decrease. For example in the temperatures, increase by 20% when there is a clear sky and decrease by 15% in a cloudy day. Percentage change is one of the most used percentage features in the world. It’s mostly used to calculate profits and losses in the financial sector. Let’s us look at how to calculate percentage increase or decrease

## How to calculate percentage change

Percentage change can be classified further to percentage increase or percentage decrease. Lets start with percentage increase.

### Percentage Increase

You can find the percentage increase of a number by subtracting the resulting number from the original number then divide the answer by the
original number.

Percentage (%) increase = [(resulting number – Original number)/original number] × 100

Example 1: Find the percentage increase from 30 to 50

Original number = 30

Resulting number = 50

Step 1: Subtract original number from resulting number 50 -30 = 20

Step 2: Divide the answer in step 1 by the original number

20/30 =2/3

Step 3: Multiply the answer in step 2 by 100

2/3 × 100

Therefore, percentage increase from 30 to 50 is 66.66667%

Example 2:What is the percentage increase from 60 to 100?

Original number = 60

Resulting number = 100

Step 1: Subtract the original number from the resulting number

100 – 60 = 40

Step 2: Divide the answer in step 1 by the original number

40/60

= 2/3

Step 3: Multiply the answer in step 2 by 100

2/3 × 100

=66. 66667%

### Percentage decrease

Percentage (%) = original number – new number /original number × 100

Example 1: What is the percentage decrease from 100 to 10?

Step 1: Subtract 10 from 100

100 – 10 = 90

Step 2: Divide 90 by 100

= 9/10

Step 3: Multiply 9/10 by 100

9/10 × 100

900/10 =90

Therefore, the percentage decrease from 100 to 10 is 90%

Example 2: What is the percentage decrease from 500 to 200?

Step 1: Subtract 200 from 500

500 -200 =300

Step 2: Divide 500 by 300 and multiply by 100

300/500 x 100

Step 3: 300/5= 60

Therefore the percentage decrease from 500 to 200 is 60%