Percentage Calculator

How shall I use the Percentage Calculator?

The use of the Percentage Calculator is very straightforward: Enter the missing values, then click on the = button. You will see the results of the percentage calculation immediately. PercentageCalc.org helps you to run the three most common percentage calculations quickly and easily.

You can also download our Percentage Calculator in Excel.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". A percentage is a dimensionless number; it has no unit of measurement. Percentages are often used to express a proportionate part of a total.

You can convert percent to fraction and also to decimal very easily. For example: \(75\%\) = \(75 \over 100 \) = \(0.75\)

How is percentage calculated?

It depends on the subject, more precisely on the thing you would like to calculate. There are several formulas for percentage calculations. The website PercentageCalc.org contains the three most common calculations. You will find their detailed description below. These formulae are:

1. Percentage of a value calculation -> What is P percent of X

2. Percentage calculation -> X is what percent of Y

3. Percentage change calculation -> Find the percentage change from X to Y

1. Percentage of a value calculation

This might be the most common case: You would like to calculate a certain percentage of something. To put it in another way, you would like to know what P per cent of X is. For example, you would like to know what 20 percent of 80 dollars is.

We use the following formula: \(\text{Percentage of a value} = X \cdot P\%\)

The calculation is as follows: \(80\cdot20\%\) = \(80\cdot{20 \over 100}\) = \(80\cdot0.2\) = \(16\).

Percentage Calculator Examples: Percentage of a value calculation

What is P% of X?	X = 3.1	X = 71	X = 121	X = 221
P=5%	5% of 3.1	5% of 71	5% of 121	5% of 221
P=10%	10% of 3.1	10% of 71	10% of 121	10% of 221
P=15%	15% of 3.1	15% of 71	15% of 121	15% of 221
P=20%	20% of 3.1	20% of 71	20% of 121	20% of 221
P=25%	25% of 3.1	25% of 71	25% of 121	25% of 221
P=30%	30% of 3.1	30% of 71	30% of 121	30% of 221
P=35%	35% of 3.1	35% of 71	35% of 121	35% of 221
P=40%	40% of 3.1	40% of 71	40% of 121	40% of 221
P=45%	45% of 3.1	45% of 71	45% of 121	45% of 221
P=50%	50% of 3.1	50% of 71	50% of 121	50% of 221
P=55%	55% of 3.1	55% of 71	55% of 121	55% of 221
P=60%	60% of 3.1	60% of 71	60% of 121	60% of 221
P=65%	65% of 3.1	65% of 71	65% of 121	65% of 221
P=70%	70% of 3.1	70% of 71	70% of 121	70% of 221
P=75%	75% of 3.1	75% of 71	75% of 121	75% of 221
P=80%	80% of 3.1	80% of 71	80% of 121	80% of 221
P=85%	85% of 3.1	85% of 71	85% of 121	85% of 221
P=90%	90% of 3.1	90% of 71	90% of 121	90% of 221
P=95%	95% of 3.1	95% of 71	95% of 121	95% of 221
P=100%	100% of 3.1	100% of 71	100% of 121	100% of 221

2. Percentage calculation

In this case you would like to know that X what percent of Y is? For example, you know that you have 20 apples left out of 80 apples. What percent of 80 apples is 20 apples then?

We use the following formula: \(\text{Percentage calculation} = {X \over Y}\)

The calculation is as follows: \({20\over80}\) = \(0.25\) = \(25\%\)

Percentage Calculator Examples: Percentage calculation

X is what % of Y?	Y = 3.1	Y = 41	Y = 71	Y = 121	Y = 221
X=5	5 is what % of 3.1	5 is what % of 41	5 is what % of 71	5 is what % of 121	5 is what % of 221
X=10	10 is what % of 3.1	10 is what % of 41	10 is what % of 71	10 is what % of 121	10 is what % of 221
X=15	15 is what % of 3.1	15 is what % of 41	15 is what % of 71	15 is what % of 121	15 is what % of 221
X=20	20 is what % of 3.1	20 is what % of 41	20 is what % of 71	20 is what % of 121	20 is what % of 221
X=25	25 is what % of 3.1	25 is what % of 41	25 is what % of 71	25 is what % of 121	25 is what % of 221
X=30	30 is what % of 3.1	30 is what % of 41	30 is what % of 71	30 is what % of 121	30 is what % of 221
X=35	35 is what % of 3.1	35 is what % of 41	35 is what % of 71	35 is what % of 121	35 is what % of 221
X=40	40 is what % of 3.1	40 is what % of 41	40 is what % of 71	40 is what % of 121	40 is what % of 221
X=45	45 is what % of 3.1	45 is what % of 41	45 is what % of 71	45 is what % of 121	45 is what % of 221
X=50	50 is what % of 3.1	50 is what % of 41	50 is what % of 71	50 is what % of 121	50 is what % of 221
X=55	55 is what % of 3.1	55 is what % of 41	55 is what % of 71	55 is what % of 121	55 is what % of 221
X=60	60 is what % of 3.1	60 is what % of 41	60 is what % of 71	60 is what % of 121	60 is what % of 221
X=65	65 is what % of 3.1	65 is what % of 41	65 is what % of 71	65 is what % of 121	65 is what % of 221
X=70	70 is what % of 3.1	70 is what % of 41	70 is what % of 71	70 is what % of 121	70 is what % of 221
X=75	75 is what % of 3.1	75 is what % of 41	75 is what % of 71	75 is what % of 121	75 is what % of 221
X=80	80 is what % of 3.1	80 is what % of 41	80 is what % of 71	80 is what % of 121	80 is what % of 221
X=85	85 is what % of 3.1	85 is what % of 41	85 is what % of 71	85 is what % of 121	85 is what % of 221
X=90	90 is what % of 3.1	90 is what % of 41	90 is what % of 71	90 is what % of 121	90 is what % of 221
X=95	95 is what % of 3.1	95 is what % of 41	95 is what % of 71	95 is what % of 121	95 is what % of 221
X=100	100 is what % of 3.1	100 is what % of 41	100 is what % of 71	100 is what % of 121	100 is what % of 221

3. Percentage change calculation

Percentage change calculation is used to determine the change between the start value and the end value. This formula also helps you to decide whether you can talk about an increase or a decrease. For example, the price of a product changed from 200 to 300. What percentage change could it mean?

We use the following formula: \(\text{Percentage change}\) = \({(\text{End Value} - \text{Start Value})\over\text{Start Value}}\) \(\cdot 100\%\)

The calculation is as follows: \({(350-200) \over 200} \cdot 100\%\) = \({150 \over 200} \cdot 100\%\) = \(0.75 \cdot 100\%\)= \(75\%\)

The result of this type of calculation can be positive or negative. If the result is positive, it is called percentage increase (just like in our example above). If the result is positive, it is called percentage decrease.

Percentage Calculator Examples: Percentage change calculation

What is the % increase/decrease
from X to Y ?

X to Y	Y = 3.1	Y = 71	Y = 221	Y = 521	Y = 1021
X = 10	10 to 3.1	10 to 71	10 to 221	10 to 521	10 to 1021
X = 20	20 to 3.1	20 to 71	20 to 221	20 to 521	20 to 1021
X = 30	30 to 3.1	30 to 71	30 to 221	30 to 521	30 to 1021
X = 40	40 to 3.1	40 to 71	40 to 221	40 to 521	40 to 1021
X = 50	50 to 3.1	50 to 71	50 to 221	50 to 521	50 to 1021
X = 60	60 to 3.1	60 to 71	60 to 221	60 to 521	60 to 1021
X = 70	70 to 3.1	70 to 71	70 to 221	70 to 521	70 to 1021
X = 80	80 to 3.1	80 to 71	80 to 221	80 to 521	80 to 1021
X = 90	90 to 3.1	90 to 71	90 to 221	90 to 521	90 to 1021
X = 100	100 to 3.1	100 to 71	100 to 221	100 to 521	100 to 1021
X = 110	110 to 3.1	110 to 71	110 to 221	110 to 521	110 to 1021
X = 120	120 to 3.1	120 to 71	120 to 221	120 to 521	120 to 1021
X = 130	130 to 3.1	130 to 71	130 to 221	130 to 521	130 to 1021
X = 140	140 to 3.1	140 to 71	140 to 221	140 to 521	140 to 1021
X = 150	150 to 3.1	150 to 71	150 to 221	150 to 521	150 to 1021
X = 160	160 to 3.1	160 to 71	160 to 221	160 to 521	160 to 1021
X = 170	170 to 3.1	170 to 71	170 to 221	170 to 521	170 to 1021
X = 180	180 to 3.1	180 to 71	180 to 221	180 to 521	180 to 1021
X = 190	190 to 3.1	190 to 71	190 to 221	190 to 521	190 to 1021
X = 200	200 to 3.1	200 to 71	200 to 221	200 to 521	200 to 1021