how to find what percentage one number is of another

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

How to Calculate Percentages

There are many formulas for percent issues. You tin remember of the most bones as 10/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let'due south explore the three bones percentage problems. 10 and Y are numbers and P is the percent:

Find P percentage of Ten
Find what percentage of X is Y
Detect X if P percentage of it is Y

Read on to learn more nigh how to figure percentages.

one. How to summate percentage of a number. Use the per centum formula: P% * X = Y

Example: What is ten% 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 10% * 150 = Y
Convert 10% to a decimal by removing the per centum sign and dividing by 100: x/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.x * 150 = Y
Practise the math: 0.x * 150 = 15
Y = 15
Then 10% of 150 is 15
Double cheque your answer with the original question: What is ten% of 150? Multiply 0.10 * 150 = 15

2. How to detect what per centum of X is Y. Use the percentage formula: Y/10 = P%

Example: What per centum of threescore is 12?

Convert the problem to an equation using the percent formula: Y/X = P%
10 is 60, Y is 12, so the equation is 12/60 = P%
Do the math: 12/60 = 0.20
Of import! The consequence will always be in decimal form, non percent form. Y'all need to multiply the result by 100 to go the percentage.
Converting 0.20 to a percent: 0.twenty * 100 = 20%
And then twenty% of 60 is 12.
Double bank check your answer with the original question: What percent of 60 is 12? 12/lx = 0.20, and multiplying past 100 to go percent, 0.20 * 100 = 20%

3. How to find X if P percent of information technology 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/twenty% = Ten
Convert the per centum to a decimal by dividing past 100.
Converting 20% to a decimal: xx/100 = 0.20
Substitute 0.20 for xx% in the equation: 25/0.xx = X
Do the math: 25/0.20 = X
10 = 125
So 25 is 20% of 125
Double cheque your respond with the original question: 25 is xx% of what number? 25/0.20 = 125

Call back: How to convert a percentage to a decimal

Remove the percentage sign and divide past 100
15.6% = xv.half-dozen/100 = 0.156

Remember: How to convert a decimal to a per centum

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

Per centum Problems

In that location are ix variations on the iii basic problems involving percentages. See if you can friction match your trouble to one of the samples below. The problem formats match the input fields in the computer above. Formulas and examples are included.

What is P percent of 10?

Written every bit an equation: Y = P% * Ten
The 'what' is Y that we desire to solve for
Remember to kickoff catechumen pct to decimal, dividing by 100
Solution: Solve for Y using the percent formula
Y = P% * Ten

Example: What is ten% of 25?

Written using the percentage formula: Y = 10% * 25
Showtime convert percentage to a decimal x/100 = 0.1
Y = 0.one * 25 = 2.v
And then 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 10 to get P% on one side of the equation
Y ÷ Ten = (P% ? X) ÷ Ten becomes Y ÷ X = P%, which is the aforementioned 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
Catechumen the decimal to percent
P% = 0.3 × 100 = 30%
So 12 is xxx% 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
Carve up both sides by P% to get X on one side of the equation
Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = Ten, which is the same every bit X = Y ÷ P%
Solution: Solve for X using the per centum formula
Ten = Y ÷ P%

Example: 9 is 60% of what?

Writen using the formula: X = 9 ÷ 60%
Convert per centum to decimal
lx% ÷ 100 = 0.six
X = 9 ÷ 0.6
10 = fifteen
Then 9 is 60% of 15

What percent of X is Y?

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

Example: What percent of 27 is six?

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

P percent of what is Y?

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

Example: xx% of what is 7?

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

P percent of Ten is what?

Written as an equation: P% * X = Y
The 'what' is Y that nosotros desire to solve for
Solution: Solve for Y using the percentage formula
Y = P% * 10

Example: 5% of 29 is what?

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

Y of what is P percent?

Written every bit 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 / 10) * 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% = Ten
Solution: Solve for 10 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
Ten = 4 ÷ 0.12
X = 33.3333
four of 33.3333 is 12%

What of X is P percent?

Written as an equation: Y / 10 = P%
The 'what' is Y that nosotros desire 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 xi%?

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 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 / X

Example: 9 of 13 is what percent?

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

Related Calculators

Discover the change in percentage as an increase or subtract using the Percentage Modify Estimator.

Solve decimal to per centum conversions with our Decimal to Percent Calculator.

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

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

References

Weisstein, Eric West. "Pct." From MathWorld -- A Wolfram Spider web Resource.

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