how do i find out what percentage one number is of another?

Percentage Estimator

Computer Utilize

Observe a percentage or work out the per centum given numbers and pct values. Use percent formulas to figure out percentages and unknowns in equations. Add together or decrease a percentage from a number or solve the equations.

How to Calculate Percentages

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

Allow's explore the 3 basic percentage problems. X and Y are numbers and P is the percentage:

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

Read on to larn more than almost how to effigy percentages.

ane. How to calculate pct of a number. Apply the percent formula: P% * X = Y

Example: What is 10% of 150?

Catechumen the problem to an equation using the percentage formula: P% * X = Y
P is ten%, 10 is 150, so the equation is x% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: ten/100 = 0.10
Substitute 0.10 for 10% in the equation: ten% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.x * 150 = xv
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

ii. How to detect what percent of X is Y. Apply the pct formula: Y/Ten = 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, non percent form. You need to multiply the result past 100 to go the per centum.
Converting 0.20 to a per centum: 0.xx * 100 = 20%
So twenty% 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 percent, 0.20 * 100 = 20%

3. How to observe Ten if P percent of it is Y. Employ the percentage formula Y/P% = X

Instance: 25 is 20% of what number?

Convert the trouble to an equation using the percentage formula: Y/P% = X
Y is 25, P% is twenty, so the equation is 25/20% = X
Convert the pct to a decimal past dividing by 100.
Converting twenty% to a decimal: 20/100 = 0.20
Substitute 0.twenty for 20% in the equation: 25/0.xx = 10
Practise the math: 25/0.20 = Ten
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

Retrieve: How to convert a pct 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.half dozen%

Pct Problems

There are 9 variations on the three basic problems involving percentages. Meet if y'all can match your problem to one of the samples beneath. The problem formats match the input fields in the reckoner above. Formulas and examples are included.

What is P percent of X?

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

Example: What is x% of 25?

Written using the percentage formula: Y = 10% * 25
Kickoff convert pct to a decimal x/100 = 0.1
Y = 0.1 * 25 = 2.5
And so 10% of 25 is two.5

Y is what percent of X?

Written as an equation: Y = P% ? 10
The 'what' is P% that we desire to solve for
Divide both sides by 10 to get P% on one side of the equation
Y ÷ X = (P% ? X) ÷ X becomes Y ÷ X = P%, which is the aforementioned equally P% = Y ÷ Ten
Solution: Solve for P% using the percentage formula
P% = Y ÷ X

Instance: 12 is what percentage of 40?

Written using the formula: P% = 12 ÷ 40
P% = 12 ÷ twoscore = 0.iii
Convert the decimal to percent
P% = 0.iii × 100 = xxx%
Then 12 is 30% of 40

Y is P percent of what?

Written every bit an equation: Y = P% * X
The 'what' is X that we want to solve for
Split up both sides by P% to become X on i side of the equation
Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = 10, which is the aforementioned as X = Y ÷ P%
Solution: Solve for 10 using the percentage formula
X = Y ÷ P%

Example: 9 is sixty% of what?

Writen using the formula: 10 = nine ÷ threescore%
Catechumen percent to decimal
lx% ÷ 100 = 0.6
X = 9 ÷ 0.6
X = fifteen
So 9 is 60% of 15

What percent of Ten is Y?

Written as an equation: P% * X = Y
The 'what' is P% that we want to solve for
Carve up both sides past 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 per centum of 27 is half dozen?

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

P percentage of what is Y?

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

Instance: 20% of what is vii?

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

P percent of X is what?

Written as an equation: P% * Ten = Y
The 'what' is Y that we desire to solve for
Solution: Solve for Y using the per centum formula
Y = P% * Ten

Example: 5% of 29 is what?

Written using the formula: v% * 29 = Y
Convert the percentage to a decimal
5% ÷ 100 = 0.05
Y = 0.05 * 29
Y = 1.45
So 5% of 29 is i.45

Y of what is P percent?

Written equally an equation: Y / X = P%
The 'what' is X that we desire to solve for
Multiply both sides by X to get X out of the denominator
(Y / Ten) * 10 = P% * Ten becomes Y = P% * X
Divide both sides by P% so that X is on one side of the equation
Y ÷ P% = (P% * 10) ÷ P% becomes Y ÷ P% = X
Solution: Solve for X using the percentage formula
X = Y ÷ P%

Example: four of what is 12%?

Written using the formula: X = four ÷ 12%
Solve for X: X = Y ÷ P%
Convert the percent to a decimal
12% ÷ 100 = 0.12
10 = 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) * 10 = 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 = eleven% * 25
Convert the percentage to a decimal
11% ÷ 100 = 0.11
Y = 0.11 * 25
Y = ii.75
Then 2.75 of 25 is xi%

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 percent formula
P% = Y / X

Example: 9 of xiii is what percentage?

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%
ix ÷ 13 = 69.23%
So 9 of xiii is 69.23%

Related Calculators

Discover the change in percentage equally an increase or decrease using the Percentage Change Reckoner.

Solve decimal to pct conversions with our Decimal to Percentage Figurer.

Convert from percentage to decimals with the Percentage to Decimal Estimator.

If you lot demand to catechumen 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 Spider web Resource.

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