Percentage Calculators

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What is P% of X ?
P% * X = Y
What is % of ?
Answer:


Y is what Percent of X ?
Y/X = P%
is what percent of ?
Answer:


Y is P% of what?
Y/P% = X
is % of what?
Answer:


Calculator Use

Calculate the percentage of a number solving the equation P% * X = Y for Y or find the percentage of one number to another solving the equation Y/X = P% for P or find a whole number from a percentage part solving Y/P% = X for X.

Change in percentage as an increase or decrease can be calculated using Percentage Change Calculator while percentage conversions can be solved with Decimal to Percent, Percent to Decimal, Fraction to Percent, or Percent to Fraction.

1. How to calculate percentage of a number (P% * X = Y ):

Calculator 1a is a word problem version of the equation P% * X = Y in 1b so they are solved the same way. For example, how to solve for the percentage of a number:

  • What is 10% of 150? in equation form is 10% * 150 = Y
  • We need to first convert the percentage to an equivalent decimal to do our calculation.
  • Converting a percentage to a decimal we remove the percentage sign and divide by 100
  • Converting 10% to a decimal; 10% = (10/100) = 0.10
  • 10% * 150 = Y becomes
  • 0.10 * 150 = Y
  • Y = 15
  • Or, 10% of 150 is 15

Combining the calculations you can get the formula for P% * X = (P/100) * X = Y so 10% * 150 = (10/100) * 150 = 15

2. How to calculate percentage of one number to another, a ratio (Y/X = P%):

Calculator 2a is a word problem version of the equation Y/X = P% in 2b so they are solved the same way. This calculation is converting a ratio or fraction to a percentage. For example, how to solve for the percentage of one number to another:

  • 15 is what percent 150? in equation form is 15/150 = P%
  • 15/150 = 0.10
  • We now need to convert the decimal to an percentage so we end up with a percentage
  • Converting a decimal to a percentage we multiply by 100 and append a percentage sign to the result
  • Converting 0.10 to a percent; 0.10 = (0.10 * 100) = 10%
  • So, 15/150 = 10%
  • Or, 15 is 10% of 150

Combining the calculations you can get the formula for Y/X = ((Y/X) * 100)% = P% so 15/150 = ((15/150) * 100)% = 10%

3. How to calculate a value from the percentage part, a ratio (Y/P% = X):

Calculator 3a is a word problem version of the equation Y/P% = X in 3b so they are solved the same way. For example, how to solve for a value when you know what a percentage part is:

  • 15 is 10% what number? in equation form is 15/10% = X
  • We need to first convert the percentage to an equivalent decimal to do our calculation.
  • Converting a percentage to a decimal we remove the percentage sign and divide by 100
  • Converting 10% to a decimal; 10% = (10/100) = 0.10
  • 15/10% = X becomes
  • 15/0.10 = X
  • X = 150
  • Or, 15 is 10% of 150

Combining the calculations you can get the formula for Y/P% = Y/(P/100) = X so 15/10% = 15/(10/100) = 150

How to convert a percentage to a decimal:

  • Remove the percentage sign and divide by 100
  • 15.6% becomes 15.6/100 = 0.156

How to convert a decimal to a percentage:

  • Multiply by 100 and append a percentage sign
  • 0.156 becomes 0.156 * 100 = 15.6%

References

Weisstein, Eric W. "Percent." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Percent.html

 

Cite this content, page or calculator as:

Furey, Edward "Percentage Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.