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Table of Content

 1 What is The Percentage In Mathematics? 2 Percentage Formula: 3 How to Calculate Percentages? 4 Percent or Percentage Problems: 5 What percentage of one number is another? 6 How do I find out what percentage one number is of another in Excel? 7 How is 70% calculated? 8 How do you calculate percentages in your head fast?

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An online percentage calculator is a tool that allows you to calculate percentage and also work out for the percent values. Simply, this percent calculator uses basic percent formulas to figure out percentages and unknown percent values in equations. Also, this calculator for percentages helps you to add or subtract a percentage from a given number or solve the given equations.

Well, in this post, we are going to answer how to calculate percentage with calculator or manually for any equation, formula for percent, and much more that helps you to find percentage of anything you want! But, before knowing about all these terms, let’s start with the basic definition of math percentage.

## What is The Percentage In Mathematics?

In the field of mathematics, percentage can be elaborated as a number or ratio that is representing a fraction of 100. It is habitually represented by the sign “%” or sometimes simply as “percent” and as well as “pct” For example, while calculating percentages 35% will be equivalent to the decimal 0.35, and in the form of fraction it will be represented as 35 / 100.

Also, you can try this free tool by calculator-online to convert proper or improper fractions and mixed number into a percent.

### Percent vs. Percentage:

Whenever there is a word percent it is usually the representation that is used with a number. For example, 50 percent. However, the word percentage usually can be not used with a number. For example, what percentage of the colors box is red?

### Percentage Formula:

Though we can write percentage formula in different forms, but basically it is an algebraic equation that involves following three values.

• P (percentage) × V1= V2
• P represents the percentage,
• V1 represents the first value that will be modified by the percentage.
• V2 is the outcome of the percentage that is functioning on V1.

The percentage increase calculator is functioned to converts the given input percentage into a decimal number to figure out the best possible solution. Though, if someone is solving questions for the percentage, the resulted value will be the actual percentage. It will not provide its decimal representation.

Example:

• P× 20 = 2.5
• P = 2.5 / 20 = 0.125 * 100 = 12.5%

If you are solving any problem manually, then the formula needs the percentage in decimal form. In such case you need a multiplication by 100 to convert into a percent as in the above example.

### Percentage Change Formula:

Our percent change calculator is used to calculate percentage change by following a basic rule explained below.

Any change in the percentage is calculated by figuring the total variance between two values and then comparing that variance to the first value. Arithmetically, it includes the use of the exact value of the deviation among any two values, and then dividing the outcome by the first value, fundamentally calculating to which extent the original value has been changed.

Our calculator computes an upsurge or reduction of a specific percentage of the given input numbers. It mainly includes changing a percent into its decimal form, moreover subtracting or adding the equivalent decimal to 1, correspondingly. It is known as percentage change.

Example:

To calculate increment in the percentage, we have:

• 200 enhanced by 10%
• 10 / 100 = 0.1
• 200 * (1 + 0.1) = 220

To calculate Percentage decrease:

• 200 lessen by 10%
• 10 / 100 = 0.1
• 200 * (1 – 0.1) = 180

### How to Calculate Percentages?

Simply try the above percentage calculator for instant and precise calculations corresponding to the percentages problems. Also, finding percentages can be done manually with the support of percentage formula. However, use of percent calculator is another way to calculate the percentage with ease.

Example:

What will be 10% of 60?

By applying formula: P multiplied by V1 = V2

• 10% will be multiplied by 60.
• 10 / 100 * 60 = 6.

#### How to Find The Percent of a Number?

If anyone wants to know what percent C is of D, you will simple divide C by D in the first step. Now you will take obtained number and move the decimal two spaces towards right. That will be your percentage. In this world of technology percentages calculator are extensively available online to calculate percentages and percentage change.

Example:

What is 5% of 250?

• We will simply convert it into an equation
• P% * X = Y
• In this example 5% will be “p” and 250 will be “X”> therefore the equation will be 5% * 250 = Y
• Now we will convert 5% into a decimal. 5/100 = 0.05
• We will replace 0.05 for 5%in the above equation: 5% * 250 = Y
• 0.05 * 250 = 12.
• Y = 12.
• Therefore 5% of 250 will be 12
• You can verify your answer with the percentage calculator as well.

#### How to Find Percentage of Something?

The most basic strategy to find out percentage of anything is that you have to follow: X divided by Y = P multiplied by 100.

Example:

what is the percentage of 5 of 25?

The answer will be 20% because we will simply divide number 5 by 25 and then multiply it by 100.

#### How to Calculate Percentage Change?

To calculate percentage change you have to follow below formula:

Percentage Change=ΔV divided by V1×100=(V2−V1) divided by V1 multiplied by 100

Example:

How to find the percentage change expressed as an upsurge or reduction for 3.50 to 2.625?

• In this example initial value is = 3.50
• Second value is = 2.625
• Apply the formula: = (2.625−3.50) divided by 3.50 multiplied by 100=−0.25×100=−25%change
• This calculation can also be done with the assistance of percentage change calculator above.

### Percent or Percentage Problems:

Let’s take a look at the different equations corresponding to the percent or percentages. There are some solved example problems that might work best for you! Also, the example problem formats match the input fields of the above percentage calculator. The formulas/equations and examples are:

#### What is P percent of X?

• It is written as an equation: Y = P% * X
• The “what” is said to be Y that you want to solve for
• First: you have to convert percentage to decimal, dividing by 100
• Solution: solve for Y by simply using the percentage formula
• Y = P% * X

Example Problem: What is 20% of 50?

Solution:

• Equation: Y = P% * X
• Y = 20% * 50
• Converting percent to decimal:
• Y = (20/100) * 50
• Y = 0.2 * 50
• Y = 10

#### Y is what percent of X?

• Written in equation as: Y = P% ? X
• The “what” is said to P% that you want to solve for
• Just divide both sides by X to obtain P% on one side of the equation
• Y ÷ X = (P% ? X) ÷ X, you get Y ÷ X = P% that is also written as: P% = Y ÷ X
• Solution: simply solve for P% by using the percentage equation
• P% = Y ÷ X

Example Problem: 15 is what percent of 60?

Solution:

• Equation: P% = Y / X
• P% = 15 / 60
• P% = 0.25
• Convert decimal to percent:
• P% = 0.25 * 100
• P% = 25%

#### Y is P percent of what?

• It can be written in equation as: Y = P% * X
• The “what” is said to be as X that you want to solve for
• Simply divide the both sides of equation by P% to obtain X on one side
• Y ÷ P% = (P% × X) ÷ P%, you get Y ÷ P% = X, it is also written as X = Y ÷ P%
• Solution: Use formula for percentage to solve for X
• X = Y ÷ P%

Example Problem: 7 is 66% of what?

Solution:

• Equation: X = Y / P%
• X = 7 / 66%
• Converting percent to decimal:
• X = 7 / (66 / 100)
• X = 7 / 0.66
• X = 10.61

#### What percent of X is Y?

• It can be expressed in equation as: P% * X = Y
• The “what” is P% that you need to solve for
• Now, simply divide both sides of equation by X to get P% only on one side
• (P% * X) ÷ X = Y ÷ X, you get P% = Y ÷ X
• Solution: Solve for P% use the % formula
• P% = Y ÷ X

Example Problem: What percent of 25 is 7?

Solution:

• Equation: P% = Y / X
• P% = 7 / 25
• P% = 0.28
• Convert decimal to percent:
• P% = 0.28 * 100
• P% = 28%

#### P percent of what is Y?

• Expressed in equation as: P% × X = Y
• The “what” is indicate as X that you need to solve for
• Now, all you need to divide both sides of equation by P% to get X on one side
• (P% × X) ÷ P% = Y ÷ P%, you get: X = Y ÷ P%
• Use the % formula for solution
• X = Y ÷ P%

Example Problem: 30% of what is 9?

Solution:

• Equation: X = Y / P%
• X = 9 / 30%
• Converting percent to decimal:
• X = 9 / (30 / 100)
• X = 9 / 0.3
• X = 30

#### P percent of X is what?

• In the term of equation, it is written as: P% * X = Y
• The “what” is said to be Y that you need to solve for
• Simply, use the formula for percentage to solve for Y
• Y = P% * X

Example Problem: 7% of 27 is what?

Solution:

• Equation: Y = P% * X
• Y = 7% * 27
• Converting percent to decimal:
• Y = (7 / 100) * 27
• Y = 0.07 * 27
• Y = 1.89

#### Y of what is P percent?

• Written in the form of equation as: Y / X = P%
• The “what” is expressed as X that you need to solve for
• Multiply simply both sides of equation by X to obtain X out of the denominator
• (Y / X) * X = P% * X , you get: Y = P% * X
• Now, simply divide both sides of equation by P% to get X on one side
• Y ÷ P% = (P% * X) ÷ P%, you get: Y ÷ P% = X
• Use formula for % to solve for X
• X = Y ÷ P%

Example: 5 of what is 13%?

Solution:

• Equation: X = Y / P%
• X = 5 / 13%
• Converting percent to decimal:
• X = 5 / (13 / 100)
• X = 5 / 0.13
• X = 38.46

#### What of X is P percent?

• As an equation, it is expressed as: Y / X = P%
• The “what” is said to be as Y that you need to solve for
• Now, simply multiply the both sides of equation by X to get Y on one side
• (Y ÷ X) * X = P% * X, you get: Y = P% * X
• Use the percentage equation to solve for Y
• Y = P% * X

Example Problem: What of 26 is 12%?

Solution:

• Equation: Y = P% * X
• Y = 12% * 26
• Converting percent to decimal:
• Y = (12 / 100) * 26
• Y = 0.12 * 26
• Y = 3.12

#### Y of X is what percent?

• Expressed in equation as: Y / X = P%
• The “what” is the P% that you need to solve for
• Simply, solve for P% by using the formula for %
• P% = Y / X

Example: 8 of 12 is what percent?

Solution:

• Equation: P% = Y / X
• P% = 8 / 12
• P% = 0.66666666666667
• Convert decimal to percent:
• P% = (0.66666666666667) * 100
• P% = 66.67%

An online percentage calculator by calculator-online helps you to calculate percentage and unknown percent values in equations. The tool uses simple formula for percentage to calculate percentages of the given equation. Also, this percent calculator allows you to add or subtract a percentage form a number or solve the equations.

### How to Figure Out Percentages With This Percentage Calculator:

The calculator is 100% free and allows you to perform percentage calculation or what percent of (any number) within a fraction of seconds. You can easily and accurately determine % age, or more with the assistance of this calculator. Just stick to these steps to obtain the precise measurements corresponding to the percentages.

Inputs:

• First of all, you have to choose the equation for which you want to calculate the percentage
• Then, you have to enter the values into the designated fields corresponding to the selected equation
• Once done, just hit the calculate button to actual percentage value

Outputs:

The percent calculator shows:

• Percentage value according to the selected percentage equation
• Show the step-by-step calculation for the equation

## FAQ’s (Percentage):

### What percentage of one number is another?

• If you need to know what percent X is of Y, then you simply divide X by Y
• Then, you have to take that number and move the decimal place two spaces to the right

### How do I find out what percentage one number is of another in Excel?

All you need to enter the formula =C2/B2 in cell D2, and simultaneously copy it down to as many rows as you need. Then, simply make a click on the Percent Style button (Home tab > Number group) to display the resulting decimal fractions as percentages.

### How is 70% calculated?

You can easily find 70% of a number: just take the number and multiply it by 70. Then, simply multiply that by .01.

It is pretty simple, let’s take a look at some tricks to calculate a percentage:

• To find 5%, simply find 10% and divide it in two
• To find 15%, simply find 10%, and then add 5%
• To find 20%, simply find 10% and double it
• To find 25%, simply find 50% and then halve it
• To find 60%, simply find 50% and add 10%
• To find 75%, simply find 50% and add 25%
• .. and so on!

Also, you can try an online percent growth calculator to figure out percent.

## Wrapping it Up:

This percentage calculator is functioned to find the Percent difference between any two given positive numbers that are greater than 0. It helps you when you want to know the exact deviation in percentage among two numbers. This percentage calculator gives you a complete knowledge about any sort of variance in the percentages. For this tool, the order of the given numbers does not count as it simply do the calculations for computing percentage of number. Therefore, it is one of the best option of learning purposes.

## References:

From the source of Wikipedia: Percent sign and calculations and Examples:

From the source of  lifehacker: Calculate Nearly Any Percentage In Your Head with Simple Tricks

From the source of revisionmaths: Introduction of percentages and examples