Percentage Calculation

Percentage calculation operations, formulas
Formulas (Table of Contents)

What is B% of A?

What is
% of
?
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Result:

A is what % of B?

is what % of
?
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Ratio:

What is B% more than A?

What is
%
more than
?
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Result:

What is A excluding B%?

What is
excluding
%?
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Result:

What is B% less than A?

What is
%
less than
?
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Result:

By what percentage is A more than B?

What % more than
is
?
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Increase Ratio:

By what percentage is A less than B?

What % less than
is
?
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Decrease Ratio:

B excluding what percentage is A?

excluding what % is
?
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Excluding Ratio:

What is C% of the number A% of which is B?

What is
%
of the number
%
of which is
?
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Result:

Compound Growth Calculator

Principal:
Growth Rate (%):
Years (Duration):
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Percentage Difference Calculator

Value 1:
and
Value 2:
difference between:
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Percentage Error Calculator

Exact Value:
and
Estimated Value:
error between:
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Frequently Asked Questions & Guide

How to Calculate Percentage?

Percentage calculation is the process of dividing a whole into 100 equal parts and taking the specified amount. Mathematically, the formula is: (Number × Percentage Rate) ÷ 100. For example, to find 15% of 200: (200 × 15) ÷ 100 = 30. You can easily perform this calculation using the first module on our platform.

How to Find the Percentage Ratio of One Number to Another?

To find what percentage of B is A, divide A by B and multiply the result by 100. Formula: (A ÷ B) × 100. For example, what percentage of 200 is 40: (40 ÷ 200) × 100 = 20%.

How to Calculate Percentage Increase?

To calculate a percentage increase, multiply the number by 1 plus the percentage rate divided by 100. Formula: Number × (1 + Percentage Rate ÷ 100). For example, 150 increased by 20%: 150 × (1 + 0.20) = 180.

How to Calculate Tax Excluding (Percentage Excluding) Amount?

To find the amount excluding a certain percentage (like tax excluding price), divide the total amount by 1 plus the percentage rate divided by 100. Formula: Number ÷ (1 + Percentage Rate ÷ 100). For example, excluding 20% tax from $240: 240 ÷ 1.20 = $200. Our fourth module handles this task in seconds.

How to Calculate Percentage Decrease (Discount)?

To calculate a percentage decrease (discount), multiply the number by 1 minus the percentage rate divided by 100. Formula: Number × (1 - Percentage Rate ÷ 100). For example, 30% discount on $500: 500 × (1 - 0.30) = $350.

How to Find the Percentage Increase Between Two Numbers?

To find by what percentage A is more than B, divide A by B, subtract 1, and multiply by 100. Formula: ((A ÷ B) - 1) × 100. For example, by what percentage is 150 more than 100: ((150 ÷ 100) - 1) × 100 = 50%.

How to Find the Percentage Decrease Between Two Numbers?

To find by what percentage A is less than B, subtract A from B, divide the difference by B, and multiply by 100. Formula: ((B - A) ÷ B) × 100. For example, by what percentage is 80 less than 100: ((100 - 80) ÷ 100) × 100 = 20%.

How to Calculate the Percentage Excluded Value (A is what % excluding B)?

To find what percentage excluding B is A, divide B by A, subtract 1, and multiply by 100. Formula: ((B ÷ A) - 1) × 100. For example, 200 is what percentage excluding 100: ((100 ÷ 200) - 1) × 100 = -50%.

How to Calculate a Percentage of a Number Whose Other Percentage is Known?

To find C% of a number whose A% is B, divide the known value B by A to find 1%, then multiply by the target percentage C. Formula: (B ÷ A) × C. For example, if 20% of a number is 40, what is 50%: (40 ÷ 20) × 50 = 100.

How to calculate Compound Growth (Interest)?

Compound growth is when the growth earned on an initial principal is added back to the principal, so that future growth is calculated on the new, larger balance. The formula is: Principal × (1 + Rate ÷ 100)Years. It is heavily used in finance and investing.

What is Percentage Difference and how is it calculated?

Percentage difference measures the absolute difference between two numbers as a percentage of their average. It is used when neither value is considered the "starting" value. The formula is: |A - B| ÷ ((A + B) ÷ 2) × 100.

How to calculate Percentage Error?

Percentage error expresses the absolute size of the error (the difference between a measured/estimated value and the true value) as a percentage of the true value. The formula is: |Estimated - Exact| ÷ |Exact| × 100.

Sources & Academic References

How to Calculate Percentage? All Percentage Calculation Methods

One of the most frequently used mathematical operations in daily life is percentage calculation. Many operations such as calculating discounts, finding raise rates, calculating prices with and without tax, learning the percentage difference between two numbers, or calculating investment returns are done with percentage formulas.

Thanks to the percentage calculation tools on this page, you can reach fast and accurate results without dealing with complex formulas. Whether you are a student, tradesman, investor, or interested in e-commerce; percentage calculation processes appear in every aspect of life.

Calculation Type Mathematical Formula
What is B% of A?A × (B / 100)
A is what % of B?(A / B) × 100
What is B% more than A?A × (1 + B / 100)
What is A excluding B%?A / (1 + B / 100)
What is B% less than A?A × (1 - B / 100)
By what percentage is A more than B?((A - B) / B) × 100
By what percentage is A less than B?((B - A) / B) × 100
B excluding what percentage is A?((B - A) / B) × 100
What is C% of the number A% of which is B?(B / A) × C
Compound GrowthP × (1 + R / 100)^t
Percentage Difference|A - B| / ((A + B) / 2) × 100
Percentage Error(|Observed - Exact| / Exact) × 100

How to Calculate B% of A?

The most basic percentage calculation process is finding a specific percentage of a number. For example:

  • What is 10% of 200?
  • What is 18% of 500?
  • How much is 25 percent of 1000?

For this operation, the number is multiplied by the percentage rate and divided by 100. It is especially frequently used in discount calculation, commission calculation, and tax calculations.

For example:

  • 10% of 200 = 20
  • 18% of 500 = 90

This method is quite common in market discounts, salary raises, and return calculations.

What Percentage of Another Number is a Number?

One of the most searched queries by users is "A is what percentage of B?".

For example:

  • 50 is what percent of 200?
  • 75 is what percent of 300?
  • What fraction of 400 is 120?

This operation is used to find the ratio between two numbers. It is frequently preferred in evaluating exam results in education life, sales analysis, and performance measurements.

Percentage Increase Calculation

The percentage increase calculation method is used to find out what percentage a number has increased. (Common usage: VAT / Tax Inclusion)

For example:

  • If a $100 product gets a 20% price hike, how much will it be?
  • If my salary increases by 30 percent, how much will it be?
  • If the exchange rate rises by 5 percent, what is the new price?

This calculation is especially used in:

  • raise calculation,
  • salary increase,
  • price update,
  • investment return,
  • inflation calculations.

Percentage Decrease and Discount Calculation

One of the most searched operations on the internet is discount calculation.

For example:

  • How is a 50% discounted price calculated?
  • What is 20 percent less of $1000?
  • How to find the price after discount?

This calculation is continuously used on shopping sites, campaigns, and store discounts.

Example:

  • 20% discounted version of a $1000 product = $800
  • 10 percent less of $500 = $450

Tax Excluding and Tax Including Calculation

Finding the tax-included or tax-excluded amount of a price is very important in trade.

For example:

  • How is the tax-excluded price calculated?
  • What is the price of $120 without tax?
  • How is the 20% tax deduction process done?

This process is frequently used in accounting, e-invoicing, e-commerce, and finance fields.

Especially businesses use percentage calculation tools for:

  • tax calculation,
  • tax deduction,
  • finding net price,
  • gross price calculation

processes.

How to Find the Percentage Difference Between Two Numbers?

The percentage difference calculation method is used to see the change between two values. (Mathematical notation: Relative Difference / Delta Δ)

For example:

  • If last month's sales were $10,000 and this month's are $12,500, what is the percentage increase?
  • By what percentage did the number of followers increase?
  • What is the difference between the old and new price of a product?

This calculation is quite important in:

  • financial analysis,
  • reporting,
  • stock market operations,
  • social media analysis,
  • commercial comparisons.

Compound Growth Calculation

Compound growth calculation is an important method especially used in the investment and finance fields. (Finance terminology: CAGR - Compound Annual Growth Rate / ROI)

For example:

  • How is investment return calculated?
  • If an investment grows by 10 percent every year, what happens after how many years?
  • How is compound growth calculated?

This method is widely used for:

  • investment planning,
  • deposit accounts,
  • cryptocurrency analysis,
  • company growth calculations.

What is Percentage Error Calculation?

Percentage error calculation is generally used in laboratory, engineering, and academic studies. (Statistical terms: Absolute Error / Relative Error)

For example:

  • By what percentage did the measurement result deviate from the true value?
  • How is the experimental error rate calculated?
  • How is the margin of error percentage found?

It is an important calculation method especially for students and people working in the engineering field.

Advantages of Using an Online Percentage Calculator Tool

Thanks to online percentage calculator tools:

  • you can get fast results,
  • you can reduce the risk of wrong operations,
  • you do not deal with complex formulas,
  • you can easily make transactions from mobile devices.

With these calculation tools presented on a single page, you can perform:

  • taking a percentage,
  • increasing by a percentage,
  • decreasing by a percentage,
  • finding percentage difference,
  • tax calculation,
  • compound growth calculation

operations in seconds.