Percentage calculator

A% of number B = C

C = \frac{A}{100} \times B

A = \frac{C}{B} \times 100

(B \neq 0)

B = \frac{C}{A} \times 100

(A \neq 0)

Example: 15% of 200 = 30

30 = \frac{15}{100} \times 200

15 = \frac{30}{200} \times 100

200 = \frac{30}{15} \times 100

Percentage calculator

Original price A is discounted/raised by B%. The resulting sales price is C

Original price of product: A
Price has been discounted B%
Final sales price is C

C = A - (| A | \times \frac{B}{100})

B = \frac{A - C}{| A |} \times 100

(A \neq 0)

A = \frac{C}{1 - \frac{B}{100}}

(B \neq 100)

Example: Original price 60, 20% discount = Sales price 48.

48 = 60 - (60 \times \frac{20}{100})

20 = \frac{60 - 48}{60} \times 100

60 = \frac{48}{1 - \frac{20}{100}}

Original price of product: A
Price has been raised B%
Final sales price is C

C = A + (| A | \times \frac{B}{100})

B = \frac{C - A}{| A |} \times 100

(A \neq 0)

A = \frac{C}{1 + \frac{B}{100}}

(B \neq -100)

Percentage calculator: Original price A is discounted/raised by B%. The resulting sales price is C

How much is A % of B?

X% = \frac{A}{100} \times B %

Percentage calculator: How much is A % of B?

How many % is A of B?

X% = \frac{A}{B} \times 100 %

(B \neq 0)

Percentage calculator: How many % is A of B?

How many percentages bigger or smaller is the second number?

First number is A. Second number is B.
What is the change (increase or decrease) from first number to second number?
= How many percentages bigger or smaller is the second number?

X% = \frac{B - A}{| A |} \times 100 %

(A \neq 0)

Percentage calculator: How many percentages bigger or smaller is the second number?

Number A is increased by B %

X = A + (\frac{B}{100} \times | A |)

Percentage calculator: Number A is increased by B %

Number A is decreased by B %

X = A - (\frac{B}{100} \times | A |)

Percentage calculator: Number A is decreased by B %

Alternatives to calculating change

Percentage change

X% = \frac{B - A}{| A |} \times 100 %

(A \neq 0)

Percentage difference

X% = \frac{| B - A |}{[\frac{A + B}{2}]} \times 100 %

(A > 0, B > 0)

Log difference

X = \ln (B) - \ln (A)

(A > 0, B > 0)

or

X = \ln (\frac{B}{A})

(A > 0, B > 0)

Percentage calculator: Alternatives to calculating change

Proportionality (Direct proportionality)

\frac{x_{1}}{y_{1}} = \frac{x_{2}}{y_{2}}

x_{1} = y_{1} \times \frac{x_{2}}{y_{2}}

(y_{2} \neq 0)

x_{2} = x_{1} \times \frac{y_{2}}{y_{1}}

(y_{1} \neq 0)

y_{1} = y_{2} \times \frac{x_{1}}{x_{2}}

(x_{2} \neq 0)

y_{2} = y_{1} \times \frac{x_{2}}{x_{1}}

(x_{1} \neq 0)

Percentage calculator: Proportionality (Direct proportionality)

Inverse proportionality

x_{1} \times y_{1} = x_{2} \times y_{2}

x_{1} = \frac{x_{2} \times y_{2}}{y_{1}}

(y_{1} \neq 0)

y_{1} = \frac{x_{2} \times y_{2}}{x_{1}}

(x_{1} \neq 0)

x_{2} = \frac{x_{1} \times y_{1}}{y_{2}}

(y_{2} \neq 0)

y_{2} = \frac{x_{1} \times y_{1}}{x_{2}}

(x_{2} \neq 0)

Percentage calculator: Inverse proportionality

Percentage formulas:

Original price A is discounted/raised by B%. The resulting sales price is C

How much is A % of B?

How many % is A of B?

How many percentages bigger or smaller is the second number?

Number A is increased by B %

Number A is decreased by B %

Alternatives to calculating change

Proportionality (Direct proportionality)

Inverse proportionality

Inverse proportionality
In inverse proportionality, as the value of one variable increases, the value of the other variable decreases in the same proportion. This can be applied to calculating speed and time, area calculations, resource allocation, calculating the number of employees, and many other practical matters. You can use the calculator on this website to calculate calculations based on inverse proportionality.

Direct Proportionality
In direct proportionality, the relationship between two variables remains the same. This can be applied to pricing, estimating distance and time, image size changes, and many other practical matters. The calculator on the page makes it easy to perform calculations based on direct proportionality.

Percentage calculations without a calculator
Percentage calculations become much easier when we understand that they are multiplication calculations. You can put the numbers to be calculated in a different order. You can also separate the tens and hundreds into their own numbers.

Negative percent
A percentage calculation can easily result in a negative percentage instead of a positive percentage. You can also calculate a percentage from a negative number. The calculation gets a bit strange when you calculate the percentage change using a negative number, but that's not impossible either.

Percentage and percentage point
A percentage means a hundredth and they are used to measure a share of something. The percentage point, on the other hand, is used when comparing percentages to each other or when referring to percentages of certain percentages.

Percentage formulas

A% of number B = C

Original price A is discounted/raised by B%. The resulting sales price is C

How much is A % of B?

How many % is A of B?

How many percentages bigger or smaller is the second number?

Number A is increased by B %

Number A is decreased by B %

Alternatives to calculating change

Proportionality (Direct proportionality)

Inverse proportionality

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