What percent of 25 is 25%?

Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations.

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How to Calculate Percentages
1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y
2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%
3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X
Remember: How to convert a percentage to a decimal
Remember: How to convert a decimal to a percentage
Percentage Problems
Related Calculators
Another step by step method

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y

Read on to learn more about how to figure percentages.

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the percentage formula: Y/X = P%
X is 60, Y is 12, so the equation is 12/60 = P%
Do the math: 12/60 = 0.20
Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.
Converting 0.20 to a percent: 0.20 * 100 = 20%
So 20% of 60 is 12.
Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 25, P% is 20, so the equation is 25/20% = X
Convert the percentage to a decimal by dividing by 100.
Converting 20% to a decimal: 20/100 = 0.20
Substitute 0.20 for 20% in the equation: 25/0.20 = X
Do the math: 25/0.20 = X
X = 125
So 25 is 20% of 125
Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to convert a percentage to a decimal

Remove the percentage sign and divide by 100
15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and add a percentage sign
0.876 = 0.876 * 100 = 87.6%

Percentage Problems

There are nine variations on the three basic problems involving percentages. See if you can match your problem to one of the samples below. The problem formats match the input fields in the calculator above. Formulas and examples are included.

Written as an equation: Y = P% * X
The 'what' is Y that we want to solve for
Remember to first convert percentage to decimal, dividing by 100
Solution: Solve for Y using the percentage formula
Y = P% * X

Written using the percentage formula: Y = 10% * 25
First convert percentage to a decimal 10/100 = 0.1
Y = 0.1 * 25 = 2.5
So 10% of 25 is 2.5

Written as an equation: Y = P% ? X
The 'what' is P% that we want to solve for
Divide both sides by X to get P% on one side of the equation
Y ÷ X = (P% ? X) ÷ X becomes Y ÷ X = P%, which is the same as P% = Y ÷ X
Solution: Solve for P% using the percentage formula
P% = Y ÷ X

Written using the formula: P% = 12 ÷ 40
P% = 12 ÷ 40 = 0.3
Convert the decimal to percent
P% = 0.3 × 100 = 30%
So 12 is 30% of 40

Written as an equation: Y = P% * X
The 'what' is X that we want to solve for
Divide both sides by P% to get X on one side of the equation
Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = X, which is the same as X = Y ÷ P%
Solution: Solve for X using the percentage formula
X = Y ÷ P%

Writen using the formula: X = 9 ÷ 60%
Convert percent to decimal
60% ÷ 100 = 0.6
X = 9 ÷ 0.6
X = 15
So 9 is 60% of 15

Written as an equation: P% * X = Y
The 'what' is P% that we want to solve for
Divide both sides by X to get P% on one side of the equation
(P% * X) ÷ X = Y ÷ X becomes P% = Y ÷ X
Solution: Solve for P% using the percentage formula
P% = Y ÷ X

Written using the formula: P% = 6 ÷ 27
6 ÷ 27 = 0.2222
Convert decimal to percent
P% = 0.2222 × 100
P% = 22.22%
So 22.22% of 27 is 6

Written as an equation: P% × X = Y
The 'what' is X that we want to solve for
Divide both sides by P% to get X on one side of the equation
(P% × X) ÷ P% = Y ÷ P% becomes X = Y ÷ P%
Solution: Solve for X using the percentage formula
X = Y ÷ P%

Written using the formula: X = 7 ÷ 20%
Convert the percent to a decimal
20% ÷ 100 = 0.2
X = 7 ÷ 0.2
X = 35
So 20% of 35 is 7.

Written as an equation: P% * X = Y
The 'what' is Y that we want to solve for
Solution: Solve for Y using the percentage formula
Y = P% * X

Written using the formula: 5% * 29 = Y
Convert the percent to a decimal
5% ÷ 100 = 0.05
Y = 0.05 * 29
Y = 1.45
So 5% of 29 is 1.45

Written as an equation: Y / X = P%
The 'what' is X that we want to solve for
Multiply both sides by X to get X out of the denominator
(Y / X) * X = P% * X becomes Y = P% * X
Divide both sides by P% so that X is on one side of the equation
Y ÷ P% = (P% * X) ÷ P% becomes Y ÷ P% = X
Solution: Solve for X using the percentage formula
X = Y ÷ P%

Written using the formula: X = 4 ÷ 12%
Solve for X: X = Y ÷ P%
Convert the percent to a decimal
12% ÷ 100 = 0.12
X = 4 ÷ 0.12
X = 33.3333
4 of 33.3333 is 12%

Written as an equation: Y / X = P%
The 'what' is Y that we want to solve for
Multiply both sides by X to get Y on one side of the equation
(Y ÷ X) * X = P% * X becomes Y = P% * X
Solution: Solve for Y using the percentage formula
Y = P% * X

Written using the formula: Y = 11% * 25
Convert the percent to a decimal
11% ÷ 100 = 0.11
Y = 0.11 * 25
Y = 2.75
So 2.75 of 25 is 11%

Written as an equation: Y / X = P%
The 'what' is P% that we want to solve for
Solution: Solve for P% using the percentage formula
P% = Y / X

Written using the formula: P% = Y / X
9 ÷ 13 = P%
9 ÷ 13 = 0.6923
Convert decimal to percent by multiplying by 100
0.6923 * 100 = 69.23%
9 ÷ 13 = 69.23%
So 9 of 13 is 69.23%

Find the change in percentage as an increase or decrease using the Percentage Change Calculator.

Solve decimal to percentage conversions with our Decimal to Percent Calculator.

Convert from percentage to decimals with the Percent to Decimal Calculator.

If you need to convert between fractions and percents see our Fraction to Percent Calculator, or our Percent to Fraction Calculator.

References

Weisstein, Eric W. "Percent." From MathWorld -- A Wolfram Web Resource.

Question: Your uncle had 25 shares of his own company a few years earlier, and now he has 50 of them. What percent of the shares of his company he has now?

Answer: He has 200 percent of shares of his company now.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total that our uncle owned. So we put 25 on the bottom of the fraction and 50 on top. Now we're ready to figure out the part we don't know; the Percent.

50/25 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

50/25 × 100/100 = 200/100

200 = Percent

And that means he has 200 percent of the shares of his company now.