Online Percentage Calculator

To calculate a percentage directly, you need to multiply the two numbers together and divide the result by 100, based on the following formula: A x B / 100. For example, if we want to know what 30% of 150 is, we simply multiply 30 x 150 and then divide by 100. So we get 4500 (that is, the product of 30 x 150) / 100 = 45. The concept is straightforward: we take 30 units of a number divided into 100 parts; in practice, we consider 1 hundredth of 150 which equals 1.5 and calculate the desired percentage (in this case, 30) by performing a multiplication. So we get 1.5 x 30 = 45.
The same result is obtained using the proportion "A : C = B : 100", where A represents the unknown we want to find, C is the total, and B is the number that quantifies the percentage (100). The ratio between the two numbers will be A : 150 = 30 : 100. Since in proportions the product of the means (30 and 150) equals the product of the extremes (A and 100), to find the unknown A we need to multiply 30 x 150 and divide the result by 100, obtaining 4500 : 100 = 45. Another way to explain the concept is to convert the percentage into a fraction (30% = 30 / 100, where 30 is the numerator and 100 is the denominator) and multiply it by the total (0.3 x 150).
On this page, alongside the first calculator (the most used one), 9 more have been added, each of which shows the formula used and the explanation of the result, making use of both Direct Percentage Calculation and Inverse Percentage Calculation.
Note: for decimals use a period (.), not a comma (,). To format results with thousands separators, use the small button with the dollar symbol which turns into a hash (#). Finally, please note that clicking or tapping the white box where the extended result is shown will copy it to the device clipboard, so you can paste it into a file.

Percentage Amount

   %  

 
Formula: percentage amount = A x B / 100

Percentage calculation is used to define a value multiplied by another divided into hundredths. A percentage can be expressed as a number followed by the "%" symbol (e.g. 50%), as a decimal number (0.5), or as a fraction (1/2).

Percentage Ratio Between Two Numbers




 
Formula: percentage ratio = A / B x 100

The Percentage Ratio between two numbers, also known as the Percentage Incidence, is used to determine the size of one value relative to another. This operation falls under "Inverse Percentages" and can be used, for example, to calculate the share of a salary due to the tax authority.

Percentage Change




 
Formula: percentage change = A - B / A x 100

Percentage Change determines the amount of a value when compared to another. The result can show an increase or a decrease expressed as a percentage.

From Percentage to Total


 
Formula: total value = A / B x 100

This calculator allows you to find the total figure starting from the percentage size of a number. For example, it is useful when you want to obtain the total number of voters by knowing the absolute number and the corresponding percentage of votes cast for a party.

Percentage Increase



%

 
Formula: percentage increase = A + (A x B / 100)

Percentage Increase indicates the amount of a value after a percentage increase has been applied to it.

Percentage Decrease



%

 
Formula: percentage decrease = A - (A x B / 100)

Percentage Decrease indicates the amount of a value after a percentage decrease has been applied to it.

Starting Value from an Increased Number



%

 
Formula: starting value = A / [ 1 + (B / 100) ]

This calculator is used to determine the starting value when the final (increased) value and the percentage increase applied to that starting value are known.

Starting Value from a Decreased Number



%

 
Formula: starting value = A / [ 1 - (B / 100) ]

This calculator is used to determine the starting value when the final (decreased) value and the percentage decrease applied to that starting value are known.

Percentage of a Percentage

  %   %

  %
Formula: % of % = [ (A / 100) x (B / 100) ] x 100

Sometimes you need to calculate a fraction of a percentage rather than its full amount: a seller may grant only part of the discount set for an item, or you may want to know the share of a portion of the total. This calculator determines the percentage to apply to the total.

Percentage Difference




 
Formula: percentage difference = [ (a - b) / ((a + b) / 2) ] x 100

Percentage Difference should not be confused with the Percentage Ratio (or Incidence), nor with Percentage Change. To obtain it, a specific formula is used, which calculates the difference between two values divided by their average. Percentage Difference is used mainly in Statistics, when both values are homogeneous: for example, the population of two countries.





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