Percentage Calculator

Our percentage calculator online helps you to determine the percentage of two numbers. This percent calculator can help you if you're trying to determine how much something has increased or decreased in value. 

What is the Percentage?

“Percentage is the way of expressing a dimensionless relation of numbers as the fraction of 100” 

One percent means the hundredth part of a given value. It is represented by the symbol % or pct. It shows 10 percent like 10% and 10 pct in the form of 0.10. Our online percent calculator is dedicated to working with decimal fractions and percentages. 

Percentage Formula:

To compare two numbers or to represent a portion of a whole, percentage is used. Our percentage calculator delivers a percentage result ranging from 0 to 100. 

In order to know how percentage is evaluated you typically divide the smaller value by the larger value and then multiply this term by 100. 

Percentage = Value / Entire Value x 100 

Example:

Suppose there are 100 people in a hall and 35 are women. 

= 35/100 x 100 

= 35%

We could say that 35% of the people in that hall are women.

Percentage Difference Formula:

As a percentage, the difference between two values is determined by dividing the absolute value of the difference by the average of those two numbers and then multiplying the answer by 100. 

This below-given percent difference formula will yield the solution in percent rather than decimal form. 

Percentage Difference = |V1 - V2| / (V1 + V2)/2 × 100

Example:

Percentage Difference = |20 - 14| / (20 + 14) / 2 x 100 

= 6/34/2 x 100 

= 6 / 17 x 100 

= 0.353 x 100

= 35.3 % 

How to Calculate Percentages?

This online percentage calculator helps you to understand how large is one number as compared to another number. Discover a few basic problems of percentage in which X and Y are the given numbers and P indicates the percentage.

• Calculate P percent of X
• Calculate what percentage of X is Y
• Calculate X if P percent of it is Y

Practical Examples:

P Percent of X:

In general, this factor of percentage calculator can be calculated using the following formula:

P % of X = (P/100) * X

This formula is used for calculating percentages of any number, regardless of the units. Here are some more examples to clarify that what is the percentage of the following:

• 10% of 2000 is equal to 200
• 33.33% of 600 is equal to 200
• 50% of 500 is equal to 250
• 75% of 400 is equal to 300

Percent of X is Y:

Percentage = Y / X * 100 

• 12.5% is 12.5 of 100
• 25% is 50 of 200
• 33.33% is 33.33 of 100
• 75% is 75 of 100

X if P Percent of it is Y:

X = Y / p / 100

• If 10% of X is 20, then X is 200
• If 33.33% of X is 100, then X is 300
• If 75% of X is 300, then X is 400

FAQs:

What is 20% of $80?

Percentage x Total = Amount

= 20% of $80 

= 0.20 × $80 

= $16

$12 is a 30% of What?

To find the original amount when you know a percentage of it, you can use the formula:

Original amount = Percentage / Percentage as decimal 

In this case, if $12 is 30% of the original amount, you can substitute the values into the formula:

= $12 / 0.30

= $ 40

So, $12 is 30% of $40.

Percentage Chart:

The conversion of fractions into percentages is given in the below table:

References:

From the source Wikipedia: Percentage, Examples, Percent sign and calculations, Variants of the percentage calculation, Percentage increase and decrease, Compounding percentages. 

From the source indeed: What is percentage? How to calculate a percentage, Types of percentage problems, Percentage calculation examples, Percentage differences.