How To Find Out The Of A Number

Percentage Calculator

Calculator Utilise

Notice a pct or piece of work out the per centum given numbers and per centum values. Use per centum 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 bug. You tin think of the most basic as X/Y = P x 100. The formulas beneath are all mathematical variations of this formula.

Let's explore the three basic pct problems. Ten and Y are numbers and P is the percent:

Discover P percent of Ten
Discover what percent of X is Y
Find X if P percentage of it is Y

Read on to learn more about how to effigy percentages.

i. How to summate percentage of a number. Apply the pct formula: P% * Ten = Y

Example: What is 10% of 150?

Convert the trouble 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 per centum sign and dividing by 100: 10/100 = 0.x
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = xv
Y = 15
And 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 notice what percent of Ten is Y. Utilise the percent 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 threescore, Y is 12, so the equation is 12/lx = P%
Exercise the math: 12/60 = 0.twenty
Important! The upshot will always exist in decimal form, non percentage course. You need to multiply the effect by 100 to get the percent.
Converting 0.20 to a percent: 0.20 * 100 = 20%
So 20% of 60 is 12.
Double cheque your reply with the original question: What pct of 60 is 12? 12/60 = 0.twenty, and multiplying by 100 to get per centum, 0.xx * 100 = 20%

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

Case: 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, and so the equation is 25/20% = Ten
Convert the percent to a decimal by dividing past 100.
Converting xx% to a decimal: 20/100 = 0.xx
Substitute 0.xx for 20% in the equation: 25/0.20 = 10
Do the math: 25/0.20 = 10
10 = 125
Then 25 is 20% of 125
Double bank check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to catechumen a per centum to a decimal

Remove the per centum sign and divide by 100
xv.6% = fifteen.half-dozen/100 = 0.156

Recall: How to convert a decimal to a percentage

Multiply past 100 and add a pct sign
0.876 = 0.876 * 100 = 87.6%

Percentage Problems

There are ix variations on the iii bones problems involving percentages. See if you can match your trouble to ane of the samples below. The trouble formats lucifer 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 pct to decimal, dividing by 100
Solution: Solve for Y using the percentage formula
Y = P% * X

Example: What is x% of 25?

Written using the per centum formula: Y = 10% * 25
First catechumen percentage to a decimal 10/100 = 0.1
Y = 0.one * 25 = 2.5
And then 10% of 25 is 2.5

Y is what percent of X?

Written as an equation: Y = P% ? 10
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) ÷ 10 becomes Y ÷ Ten = P%, which is the same as P% = Y ÷ X
Solution: Solve for P% using the percent formula
P% = Y ÷ X

Instance: 12 is what percentage of 40?

Written using the formula: P% = 12 ÷ twoscore
P% = 12 ÷ 40 = 0.iii
Catechumen the decimal to pct
P% = 0.3 × 100 = 30%
And so 12 is 30% of 40

Y is P percent of what?

Written as an equation: Y = P% * X
The 'what' is 10 that we want to solve for
Divide both sides by P% to get X on 1 side of the equation
Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = X, which is the same as Ten = Y ÷ P%
Solution: Solve for X using the pct formula
X = Y ÷ P%

Example: nine is 60% of what?

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

What percent of 10 is Y?

Written every bit an equation: P% * X = Y
The 'what' is P% that we want to solve for
Divide both sides past X to become P% on 1 side of the equation
(P% * 10) ÷ 10 = Y ÷ Ten becomes P% = Y ÷ X
Solution: Solve for P% using the percentage formula
P% = Y ÷ Ten

Example: What percent of 27 is vi?

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

P percent of what is Y?

Written every bit an equation: P% × 10 = Y
The 'what' is X that we want to solve for
Divide both sides by P% to get X on ane side of the equation
(P% × X) ÷ P% = Y ÷ P% becomes X = Y ÷ P%
Solution: Solve for Ten using the percentage formula
Ten = Y ÷ P%

Example: 20% of what is 7?

Written using the formula: 10 = 7 ÷ 20%
Convert the per centum to a decimal
20% ÷ 100 = 0.2
10 = 7 ÷ 0.ii
X = 35
So twenty% of 35 is 7.

P percentage of X is what?

Written as an equation: P% * X = Y
The 'what' is Y that we desire 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 five% of 29 is one.45

Y of what is P percent?

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

Example: 4 of what is 12%?

Written using the formula: X = four ÷ 12%
Solve for X: X = Y ÷ P%
Catechumen the pct 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 every bit an equation: Y / 10 = P%
The 'what' is Y that we want to solve for
Multiply both sides by 10 to get Y on one side of the equation
(Y ÷ Ten) * X = P% * X becomes Y = P% * X
Solution: Solve for Y using the pct formula
Y = P% * Ten

Example: What of 25 is 11%?

Written using the formula: Y = 11% * 25
Catechumen the percent to a decimal
11% ÷ 100 = 0.11
Y = 0.11 * 25
Y = 2.75
So two.75 of 25 is 11%

Y of Ten is what percent?

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

Example: nine of 13 is what percent?

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

Related Calculators

Detect the alter in percent as an increase or decrease using the Per centum Change Calculator.

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

Convert from pct to decimals with the Percent to Decimal Estimator.

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

References

Weisstein, Eric Due west. "Pct." From MathWorld -- A Wolfram Web Resource.

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