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**Mathematics**. Show all posts## Friday, November 29, 2019

## Percentage Calculator & How To Calculate Percentage

November 29, 2019

Percentage Calculator & How To Calculate Percentage |

**Introduction To Percentage**

A word percentage is a term from Latin & derived from 'percent'.

**Percent**means out of a hundred. So, 20% means 20 per 100. The symbol of the percentage is

**%**and it is also abbreviated by '

**pct**'. Percentages are using in our daily life like shops, mobile phones, banks, rates of change and media statistics, etc.

##
**Percentage Calculator **

**The Percentage Calculator**is a free online tool to

**calculate percentages**quickly. You just have to input the values in the

**percent calculator**and click the calculate button to get the answer.

**Instructions:**

Use the

**tab**button on the keyboard to move in the next field and for moving in the previous field use the

**shift-tab**button.

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##
**How To Calculate Percentage**

The
percentage is basically a short way to express decimal just between 0
and 100. We generally use a percentage instead of decimal everywhere. So
to **calculate percentage of a number**, it is quite an easy method just use the formula that is given below.

**Percentage Formula:**

**(Obtain Value ÷ Original Value) x 100**

**For Example:**

If a student obtains 75 numbers out of 80 then

**find percentage**?

To

**calculate percentage of a number**, we have a specific formula that is written just above in the formula section.

**Data:**

Obtain Marks = Obtain Value = 75

Total Marks = Total Value = 80

**Solution:**

(75 ÷ 80) x 100 = 93.75 %

**Results:**

The

**percentage of a number**is 93.75 %.

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##
**How To Convert Percentage To Decimal**

In order to **convert % to decimal**just replace the percentage sign % from the number and divide it by 100.

**Formula:**

**Number % = Number**

**÷ 100 = Number or Decimal**

**For Example:**

85.5% = 85.5 ÷ 100 = 0.855

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##
**How To Convert Decimal To Percentage**

In order to **convert decimal to %**multiply the number by 100 and add the percentage sign % with it.

**Formula:**

**Number or Decimal = Number x 100 = Number %**

**For Example:**

0.855 = 0.855 x 100 = 85.5 %

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##
**How To Calculate Percentage Change**

Percentage change means the **percentage difference**. If we are talking about percentage change then there are two possibilities:

**1.Percentage Increase**

**2.Percentage Decrease**

Percentage change should be one at a time it may increase or decrease not both at the same time.

In mathematics, it is a change from one number to another and expresses as an increase or decrease in percentage.

**For example:**

From 5 mobiles to 15 mobiles there is a 100% change (increase) in the number of mobiles. Similarly, from 15 mobiles to 5 mobiles there is a 100% change (decrease) in the number of mobiles.

As percentage change is divided into two categories Percentage Increase and Percentage Decrease so in order to calculate percentage change we have to calculate the above two categories.

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##
**How To Calculate Percentage Increase**

**Percentage Increase**is the amount of increase from the original to a new or final value in terms of 100 parts of the original value.

**The percentage increase**is arrived by comparing the original and new values according to the specific formula. In the case, If your answer is negative then it is a

**percentage decrease**.

**Percentage Increase Formula:**

**Increase = New Value - Original Value**

**Percentage (%) Increase = Increase ÷ Original × 100**

Where the Original value will not be equal to 0.

**For Example:**

If the monthly income of a person is increased from 60,000 to 90,000 what will be

**the percentage increase**?

In order to

**calculate percentage increase**, we have a definite formula that is written just above in the formula section.

**Data:**

New Value = 90,000

Original Value = 60,000

**Solution:**

Increase = 90,000-60,000 = 30,000

Percentage Increase = 30,000 ÷ 60,000 x 100 = 50 %

**Results:**

Income of the person is increased by 50 %.

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##
**How To Calculate Percentage Decrease**

**Percentage Decrease**is the amount of decrease from the original value to a new value in terms of 100 parts of the original value. For

**calculating percentage decrease**compare the original and new value according to a specific formula. In case, If your answer is negative then it is a

**percentage increase**.

**Percentage Decrease Formula:**

**Decrease = Original Value - New Value**

**Percentage (%) Decrease = Decrease ÷ Original × 100**

Where the Original value will not be equal to 0.

**For example:**

If the number of sales of the laptop is decreased from 75 to 50 per month what will be

**the percentage decreased**?

In order to

**calculate percentage decrease**, we have a definite formula that is written just above in the formula section.

**Data:**

New Value =50

Original Value = 75

**Solution:**

Decrease = 75-50 = 25

Percentage Decrease = 25 ÷ 75 x 100 = 33.33 %

**Results:**

Sale of the laptop is decreased by 33.33 %.

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##
**How To Calculate Percentage Discount**

Nowadays, it is an important thing to know about **how to calculate percentage off**or percentage discount because, in every market, restaurant, shops, trade, and for your own servicing percentage discount has been used. The basic way to

**calculate discount**is to multiply the original price with discount decimal/number means without percentage and divide it by 100. This solution is then subtracted from the original price in order to get the discount price. A quite simple formula to

**calculate percentage discount**is given below.

**Formula:**

**Discount Price = Orignal Price - (Orignal Price x Discount / 100)**

**For Example:**

If the original price of the mobile phone is $500 there is a discount of 25% on it so what will be the discount price?

**Data:**

Original Price = $500

Discount = 25%

**Solution:**

Discount Price = $500 - ($500 x 25 / 100) = $375

**Results:**

So you have saved $125 from this purchase.

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##
**How To Calculate Percentage From CGPA**

As
in every school, colleges, university final result of subjects are
expressed in **Cumulative Grade Point Average (CGPA)**so most of the time it is important to know how much percentage you have in the exam. The scale of CGPA is different in different countries and universities the general scale is

10. e.g In Pakistan Scale is 4. It is quite an easy method to

**calculate percentage from CGPA**.

**Formula:**

**CGPA x 9.5 = Percentage %**

**For Example:**

If your CGPA is 8.9 then what will be the percentage?

**Data:**

CGPA =

**8.9**

**Solution:**

8.9 x 9.5 = 84.55 %

**Results:**

8.9 CGPA has 84.55 %.

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##
**How To Calculate CGPA From Percentage**

Here for calculating CGPA just divide the got percentage by 9.5.**Formula:**

**Percentage ÷ 9.5 = CGPA**

**For Example:**

If your percentage is 84.55% what will be CGPA?

**Data:**

Percentage = 84.55%

**Solution:**

84.55 ÷ 9.5 = 8.9 CGPA

**Results:**

84.55 % have 8.9 CGPA.

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##
**How To Calculate Percentage Error**

**Percentage error**is an expression of the difference between the experimental and theoretical values. It is mostly used in science experiments to report the variance between experimental and theoretical values.

**The percentage error**may be positive and negative so in order to get any type of confusion absolute value is used.

**Formula:**

**Percentage Error = { |Experimental -Theoretical| ÷ |Theoretical| } x100**

**For Example:**

Suppose if an experiment of boiling alcohol the boiling point that we find is 89°C but the theoretical boiling pint of alcohol is 78.37°C. What will be the

**percentage error**?

**Data:**

Experimental Boiling Point = 89°C

Theoretical Boiling Point = 78.37°C

**Solution:**

Percentage Error = { |89-78.37

**|**

**÷ |**100| } x 100 = 10.63%

**Results:**

Here in this experiment percentage error is 10.63%.

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**Editors' Recommendations**

**:**

**1. Percentage Calculator Online.**

**Note:**

**I hope this article will help you if you have any query, let me know in the comments! 👇👇👇**

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