Math Calculators
Percentage Calculator Online

# Percentage Calculator Online

Percent calculator to calculate percentage of a number online. The calculator can find percentages and calculate discounts, taxes, and tips.

Y = P% × X

What is

of

is what % of

is

of what?

P% × X = Y

What % of

is

of what is

of

is what?

Y ÷ X = P%

out of what is

What out of

is

out of

is what %?

X + (X × P%) = Y

plus

is what?

plus what % is

What plus

is

X - (X × P%) = Y

minus

is what?

minus what % is

What minus

is

Result

Y = P% × X 1 is 10% of 10 P% × X = Y 10% of 10 is 1 Y ÷ X = P% 1 out of 10 is 10% X + (X × P%) = Y 10 plus 10% is 11 X - (X × P%) = Y 10 minus 10% is 9

There was an error with your calculation. This calculator allows you to calculate the percentage of a number online. It uses 5 basic formulas for finding percentages in all possible situations, from the simplest task of calculating a percentage value of a given number, to the more complex cases of using percentages.

## Directions for Use

To use the percent calculator, choose the calculation type from the drop-down menu. The drop-down menu items are grouped based on the formulas used for the calculations. However, you don’t need to know the exact formula to be able to use it.

There is a list of questions under each formula that covers the most common percentage calculations. The questions are formulated as self-explanatory, so choosing the relevant question is obvious.

For example, if you need to calculate a sum of a value and a 50% share of the same value, such as (5 + 50% of 5), you simply have to find the relevant question. In the case of the above example, the question will be, “X plus P% is WHAT?” You will immediately see that this question is in the group of the following formula X + (X × P%) = Y, which means that you will use this formula to solve the problem.

After choosing the appropriate question, enter the known values in the corresponding fields. For the above example (5 + 50% of 5), you would enter 5 in the X field and 50 in the P field. Then press “Calculate.” The calculator will display the answer and the detailed solution of the problem using the relevant formula.

## Definitions

The percentage is a relative value used to define a share in relation to a whole. “The whole,” or the initial value, is defined as 100%, while a hundredth share of that whole is defined as 1%. Twice the initial value would be 200%.

For example, if you have a hundred cookies, then 1 cookie would be 1%, 150 cookies would be 150%, and 200 cookies would be 200%. Similarly, if you have 50 cookies, 1% would be the one-hundredth share of 50, i.e., 50 / 100 = 0.5. So, 1% of 50 cookies is half a cookie. While 100 cookies would be 50 + 50, i.e., 100% + 100% = 200%.

## Calculating Percentages

The above definition is commonly used to find percentages of numbers. To find 1% of any number, simply divide the number by 100: 1% of x is always x / 100.

To find any percentage y of a number x, multiply the value for 1% with y.

For example, to find 20% of x:

y = 20

20% of x = x / 100 × 20

## Percentage Proportion

The following proportion is often used to find the percentage of a number if the whole number is known:

$$\frac{Whole\ number}{Percentage} = \frac{100\%}{y\%}$$

For example, to find 10% of 75, the proportion would be written as follows:

$$\frac{75}{x} = \frac{100\%}{10\%}$$

To find the value of x, the above proportion is solved for x:

$$x=\frac{(75×10\%)}{100\%}=7.5$$

$$10\% of 75 = 7.5$$

## Percentage Proportion for Reversed Calculations

The percentage proportion can also be used for reversed calculations to answer questions like this: what percentage of 20 is 5? In this case, 20 is 100%, and 5 is y%, i.e.

$$\frac{20}{5} = \frac{100\%}{y\%}$$

Solving for y, we get:

$$y=\frac{(5×100\%)}{20}=25\%$$

The answer is: 5 is 25% of 20.

## Decimal Expression of Percentages

Percentage values are often expressed as decimals. To find a decimal value of percentage, divide by 100:

10% = (10%)/(100%) = 0.1

25% = (25%)/(100%) = 0.25

The proportion described above can also be expressed in decimals. To find a percentage of a number, multiply the number by the decimal expression of the necessary percentage. For the example above, to find 10% of 75, multiply 75 by 0.1 to get 7.5:

10% of 75 = 75 × (10%)/(100%) = 75 × 0.1 = 7.5

## Calculation Example – Calculating Tips

Calculating tips is one of the most common usages of percentage in everyday life. Imagine you went to a restaurant and spent $32 on a meal. You would like to add a 15% tip. So, what is 15% of$32?

Solution

## Calculation Example – Calculating Discounts

To calculate the discount price of an item, you need to know the original price and the discount percentage. Let’s find a discount price for a t-shirt if the original price was $16, and it is currently on sale with a 20% discount. Solution Let’s first find the 20% of$16. Let’s use the decimal expression of percentage this time:

20% of $16 = ($16 × 20%)/(100%) = $16 × 0.2 =$3.2

To perform this operation, using the online calculator choose the following question: “WHAT is P% of X?” Enter the known values for P and X: P = 20 and X = 16.

After pressing “Calculate,” the calculator will display the final answer: 3.2, and the solution to the problem.

To find the discount price, subtract the discount from the original price:

$16 -$3.2 = \$12.8

## Calculating the Final Price

The calculator also allows you to calculate the resulting discount price of the t-shirt immediately. To do that, choose the following question from the drop-down list: “X minus P% is WHAT?” Enter the known numbers: X = 16 and P = 20.

After pressing “Calculate,” the calculator will display the final answer: 12.8, followed by the detailed solution.