Taking a Percentage of a Number

The formula to calculate a percentage of a number is given by:

$ \text{Result} = \frac{p \times v}{100} $

Where \( p \) is the percentage and \( v \) is the value. For example, to calculate 20% of 50:

$ \text{Result} = \frac{20 \times 50}{100} = 10 $

How to calculate it on a calculator:

$ \ p \times v \div 100 $


Increasing a Number by a Certain Percentage

To increase a number by a certain percentage:

$ \text{Result} = v + \left(\frac{p}{100} \times v\right) $

Where \( p \) is the percentage and \( v \) is the value. For example, to increase 50 by 20%:

$ \text{Result} = 50 + \left(\frac{20}{100} \times 50\right) = 50 + 10 = 60 $

How to calculate it on a calculator:

$ \ v + (p \times v \div 100) \ $


Decreasing a Number by a Certain Percentage

To decrease a number by a certain percentage:

$ \text{Result} = v - \left(\frac{p}{100} \times v\right) $

Where \( p \) is the percentage and \( v \) is the value. For example, to decrease 50 by 20%:

$ \text{Result} = 50 - \left(\frac{20}{100} \times 50\right) = 50 - 10 = 40 $

How to calculate it on a calculator:

$ \ v - (p \times v \div 100) \ $


Calculating What Percentage One Number Is of Another

To calculate what percentage one number is of another number:

$ \text{Percentage} = \left(\frac{v1 \times 100}{v2}\right) $

Where \( v1 \) is the first value and \( v2 \) is the second value. For example, what percentage is 20 of 50:

$ \text{Percentage} = \left(\frac{20 \times 100}{50}\right) = 40% $

How to calculate it on a calculator:

$ \ v1 \times 100 \div v2 \ $


Calculating the Percentage Difference

To calculate the percentage difference between two numbers:

$ \text{Percentage Difference} = \left(\frac{v2 - v1}{v1}\right) \times 100 $

Where \( v1 \) is the first value and \( v2 \) is the second value. For example, to calculate the percentage difference between 20 and 50:

$ \text{Percentage Difference} = \left(\frac{50 - 20}{20}\right) \times 100 = \left(\frac{30}{20}\right) \times 100 = 150% $

How to calculate it on a calculator:

$ \ (v2 - v1) \div v1 \times 100 \ $

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Last updated 01 Sep 2024, 10:22 CEST . history