How to remove a percentage from a number

Add or Subtract a Percentage

Calculate: tips, sales price, percent off, discounted price, price with sales tax, etc.

Start Value	% of Start Value		End Value
		% =

(Enter values into the blue boxes. Answer will appear in the black box.)
Answers are rounded to 7 decimal places.

Examples

Example 1:
Your restaurant bill is $56.47 and you want to leave a 15% tip.
How much is the tip?
How much is the total amount of the bill with the tip?

Start Value		% of Start Value	End Value
56.47	+	15%	64.94

The amount of the tip is: 15% of $56.47 = $8.47 (which will be displayed under the % of Start Value box in the calculator)
The total restaurant bill plus the tip is: $56.47 + $8.47 = $64.94
Click to show this example in the calculator above.

Example 2:
You have a 25 percent off coupon. The item you want to buy is $129.99
How much money will the coupon save you?
What is the cost of the item after using the coupon?

Start Value		% of Start Value	End Value
129.99	-	25%	97.49

The amount you will save is: 25% of $129.99 = $32.50 (which will be displayed under the % of Start Value box in the calculator)
The cost of the item after using the coupon is: $129.99 - $32.50 = $97.49
Click to show this example in the calculator above.

Example 3:
The sales tax rate is 8%
An item costs $49.99
What is the amount of sales tax?
What is the total cost of the item with sales tax.

Start Value		% of Start Value	End Value
49.99	+	8%	53.99

The amount of sales tax is: 8% of $49.99 = $4.00 (which will be displayed under the % of Start Value box in the calculator)
The total cost with tax is: $49.99 + $4.00 = $53.99
Click to show this example in the calculator above.

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To subtract a percentage from a price, convert the percentage into a decimal and multiply the decimal by the price. The answer is the amount to subtract from the original price.

To subtract 25 percent from a price of $20, first convert 25 percent into a decimal. The decimal form of 25 percent is .25, which represents 25 out of a total of 100. Next, multiply the decimal by the original price. Twenty multiplied by .25 equals 5. Thus, 25 percent of the $20 price is $5. Subtracting 25 percent of the price is the same as subtracting $5 from the price. In this example, an item that costs $20 with a 25 percent discount is sold for $15.

Calculator Use

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.

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.

What is P percent of X?

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

Example: What is 10% of 25?

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

Y is what percent of X?

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

Example: 12 is what percent of 40?

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

Y is P percent of what?

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%

Example: 9 is 60% of what?

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

What percent of X is Y?

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

Example: What percent of 27 is 6?

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

P percent of what is Y?

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%

Example: 20% of what is 7?

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.

P percent of X is what?

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

Example: 5% of 29 is what?

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

Y of what is P percent?

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%

Example: 4 of what is 12%?

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%

What of X is P percent?

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

Example: What of 25 is 11%?

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%

Y of X is what percent?

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

Example: 9 of 13 is what percent?

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%

Related Calculators

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.

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How do I take a percentage off a number?

How to calculate percent off?.

Divide the number by 100 (move the decimal place two places to the left)..

Multiply this new number by the percentage you want to take off..

Subtract the number from step 2 from the original number. This is your percent off number..

How do you take 20% off a price?

How do I take 20 % off a price?.

Take the original price..

Divide the original price by 5..

Alternatively, divide the original price by 100 and multiply it by 20..

Subtract this new number from the original one..

The number you calculated is the discounted value..

Enjoy your savings!.

How do you remove percentages easily?

Scenarios.

Find the percentage of the original or real number. In this case, it's $120..

Multiply the final number by 100. $ 120 x 100 = $12,000..

Divide the result of the multiplication by the percentage. $12,000 divided by 30% = $400..

Thus, $120 is 30% of $400. Therefore, the original number was $400..

How do you subtract 25 percent from a price?

Percent Off Price Formula.

Convert 25% to a decimal by dividing by 100: 25/100 = 0.25..

Multiply list price by decimal percent: 130*0.25 = 32.50..

Subtract discount amount from list price: 130 - 32.50 = 97.50..

With the formula: 130 - (130*(25/100)) = 130 - (130*0.25) = 130 - 32.50 = 97.50..

25% off $130 is $97.50..