how to find what number another number is a percentage of

Per centum Calculator

Calculator Use

Observe a percentage or work out the pct given numbers and percent values. Utilise percent formulas to effigy out percentages and unknowns in equations. Add together or subtract a percentage from a number or solve the equations.

How to Calculate Percentages

There are many formulas for per centum problems. Yous tin remember of the most basic equally X/Y = P 10 100. The formulas beneath are all mathematical variations of this formula.

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

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

Read on to learn more virtually how to figure percentages.

one. How to calculate percentage of a number. Use the pct formula: P% * Ten = Y

Example: What is x% of 150?

Catechumen the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is ten% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: ten/100 = 0.10
Substitute 0.10 for x% in the equation: 10% * 150 = Y becomes 0.ten * 150 = Y
Practise the math: 0.10 * 150 = fifteen
Y = 15
Then x% of 150 is fifteen
Double check your answer with the original question: What is ten% of 150? Multiply 0.x * 150 = fifteen

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

Example: What percent of 60 is 12?

Catechumen the trouble to an equation using the percent formula: Y/X = P%
X is lx, Y is 12, then the equation is 12/sixty = P%
Practise the math: 12/60 = 0.twenty
Of import! The event will always be in decimal form, not percentage form. You demand to multiply the result by 100 to get the percentage.
Converting 0.xx to a percent: 0.xx * 100 = 20%
So 20% of 60 is 12.
Double bank check your answer with the original question: What percent of 60 is 12? 12/60 = 0.twenty, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

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

Example: 25 is 20% of what number?

Catechumen the trouble to an equation using the percentage formula: Y/P% = 10
Y is 25, P% is 20, and then the equation is 25/xx% = X
Convert the percentage to a decimal by dividing by 100.
Converting 20% to a decimal: 20/100 = 0.20
Substitute 0.twenty for 20% in the equation: 25/0.twenty = 10
Exercise the math: 25/0.20 = X
Ten = 125
Then 25 is xx% of 125
Double check your answer with the original question: 25 is twenty% of what number? 25/0.20 = 125

Recollect: How to catechumen a percentage to a decimal

Remove the percentage sign and divide past 100
15.vi% = 15.half dozen/100 = 0.156

Recall: How to convert a decimal to a percentage

Multiply by 100 and add together a percentage sign
0.876 = 0.876 * 100 = 87.half dozen%

Per centum Problems

There are nine variations on the 3 bones bug involving percentages. See if you can lucifer your problem to one of the samples below. The problem formats match the input fields in the computer to a higher place. Formulas and examples are included.

What is P percent of Ten?

Written every bit an equation: Y = P% * 10
The 'what' is Y that nosotros want to solve for
Remember to first convert per centum to decimal, dividing by 100
Solution: Solve for Y using the percentage formula
Y = P% * X

Instance: 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.five

Y is what per centum of X?

Written as an equation: Y = P% ? X
The 'what' is P% that nosotros desire to solve for
Divide both sides past X to become P% on one side of the equation
Y ÷ 10 = (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 ÷ xl
P% = 12 ÷ 40 = 0.3
Convert the decimal to percent
P% = 0.3 × 100 = 30%
So 12 is 30% of xl

Y is P percent of what?

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

Example: 9 is lx% of what?

Writen using the formula: 10 = 9 ÷ 60%
Convert percent to decimal
60% ÷ 100 = 0.six
X = 9 ÷ 0.6
X = 15
So 9 is 60% of xv

What percent of X is Y?

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

Example: What per centum of 27 is vi?

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

Example: 20% of what is 7?

Written using the formula: X = seven ÷ 20%
Catechumen the per centum to a decimal
xx% ÷ 100 = 0.2
X = seven ÷ 0.ii
Ten = 35
Then 20% of 35 is 7.

P percent of X is what?

Written equally an equation: P% * 10 = Y
The 'what' is Y that nosotros want to solve for
Solution: Solve for Y using the per centum formula
Y = P% * X

Example: 5% of 29 is what?

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

Y of what is P per centum?

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

Example: 4 of what is 12%?

Written using the formula: 10 = four ÷ 12%
Solve for X: X = Y ÷ P%
Catechumen the per centum to a decimal
12% ÷ 100 = 0.12
X = four ÷ 0.12
X = 33.3333
4 of 33.3333 is 12%

What of Ten is P percentage?

Written every bit 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 ÷ Ten) * X = P% * 10 becomes Y = P% * X
Solution: Solve for Y using the per centum formula
Y = P% * 10

Instance: What of 25 is 11%?

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

Y of 10 is what per centum?

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 / 10

Example: 9 of xiii is what percent?

Written using the formula: P% = Y / 10
ix ÷ xiii = P%
9 ÷ 13 = 0.6923
Convert decimal to percent by multiplying by 100
0.6923 * 100 = 69.23%
nine ÷ 13 = 69.23%
So nine of 13 is 69.23%

Related Calculators

Find the change in percentage every bit an increment or subtract using the Percentage Modify Computer.

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

Catechumen from percentage to decimals with the Percent to Decimal Figurer.

If yous demand to convert between fractions and percents run across our Fraction to Percent Computer, or our Percent to Fraction Figurer.

References

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

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