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- About
# Percentage calculator

Percentage is a hundredth of a number taken as an integer. They are used to indicate the relationship of a part to a whole and to compare quantities.

## Interest history

Long before the advent of the decimal system, the ancient Romans knew how to operate with fractions that are multiples of a hundred. Thus, a tax in the amount of a hundredth of the price of goods sold at auction was levied under Gaius Julius Caesar. In medieval Europe, calculations with a denominator of 100 were already commonplace. At the end of the 15th century - the beginning of the 16th century, such calculations were used everywhere. Documents have been preserved confirming the methods for determining profits, losses, interest rates, etc. In the 17th century, the presentation of interest rates in hundredths became the standard.

In Russia, interest calculations began to be used during the reign of Peter I (late 17th - early 18th centuries). But some historians believe that this happened a hundred years earlier - in the Time of Troubles (1598-1613) they minted kopecks, constituting a hundredth of the ruble.

## Interesting facts

- The length of the femur is about 27.5% of the height, it is the longest bone in the human body. Muscle weight in men is on average 40% of body weight, in women - 30%.
- All living organisms on the planet are made of water. The water content in the human body changes with age, in infants it reaches 86%, in the elderly the humidity drops to 50%. Animals and fish contain 75% water, apples 85%, tomatoes 90%, cucumbers 95%. Jellyfish are 99% water, but do not dissolve in it.
- A person experiences intense thirst at a loss of 2% of water from body weight. With a loss of 10%, hallucinations begin. 20% dehydration is usually fatal.
- 60% of the world's lakes are located in Canada and occupy 9% of the country's territory.
- 99% of Libya is desert, it is the driest country.
- In Latin, per centum means "hundred". The % sign is an abbreviation for the Italian term per cento.

Not only bankers, mathematicians and businessmen cannot do without the ability to calculate interest. The need to calculate the percentage periodically arises when preparing dishes in cooking, analyzing the activities of enterprises, summing up the results of voting during elections, and in many other cases. With the interest calculator, you will not make a mistake in the calculations.

- Help
## How to calculate percentage

We encounter percentages when we need to calculate a discount in a store, when applying for loans, paying taxes, determining the content of nutrients in products, etc. The percentage calculator has long become a vital service.

### How to calculate percentages

#### Find percentage of a number

To calculate the percentage of a number, you need to multiply the number by the fraction from the desired percentage / 100.

Find 15% of 500:

500 - 15 / 100 = 500 - 0.15 = 75

So 15% of 500 is 75.

For example, if the price of a product is $500, there is a 15% discount. So the discounted price is $425.

#### What percentage is a number of a number

To determine the percentage of numbers, you need to divide one number by another and multiply by 100.

Find the percentage of the number 17 of the number 50:

17 / 50 - 100 = 0.34 - 100 = 34%

For example, you solved 7 problems out of 23 given. What percentage of solutions did you find?

7 / 23 - 100 = 30.4%

So you completed 30.4% of the tasks.

#### By what percentage is one number less than the other

In such calculations, you need to subtract the ratio of the first number to the second, multiplied by 100, from 100.

Find how many percent 7 is less than 49:

100 - 7 / 49 - 100 = 100 - 0.14 - 100 = 100 - 14 = 86%

The number 7 is less than the number 49 by 86%.

For example, you made $3,000 in January and $2,500 in February. By what percent did the salary decrease?

100 - 3000 / 2500 - 100 = 100 - 1.2 - 100 = 100 - 120 = -20%

Consequently, earnings in February were 20% less than in January.

#### By what percentage is one number greater than the other

In such calculations, you need to divide the first number by the second, multiply the result by 100 and subtract 100.

What percentage is 55 greater than 9:

55 / 9 - 100 - 100 = 6.1 - 100 - 100 = 510%

55 is 510% greater than 9%.

For example, 150,000 people live in one city, and 50,000 people live in another. Let's find out by what percentage the population of a large city exceeds the population of a small one.

150,000 / 50,000 - 100 - 100 = 200%

That is, the difference between a big city and a small city is 200%.

#### Subtract percentages from number

To subtract n% from a number, multiply the number by (1 - n / 100).

Subtract 20% from the number 300:

300 - (1 - 20 / 100) = 300 - 0.8 = 240

300 - 20% = 240.

For example, something that costs $20,000 has been discounted by 5%. Thus, taking into account the discount, the product costs:

20,000 - (1 - 5 / 100) = 20,000 - 0.95 = 19,000

#### Add percentages to a number

To add n% to a number, multiply the number by (1 + n / 100).

Add 40% to the number 100:

100 - (1 + 40 / 100) = 100 - 1.4 = 140

For example, a movie ticket costs $10, but another movie theater costs 20% more. How much does an expensive ticket cost?

10 - (1 + 20/100) = 10 - 1.2 = 12

#### Find 100%

If some number x is n%, you can find 100% by multiplying x by 100 / n.

Let's say 25% of the number is 16. Let's find 100%:

16 - 100 / 25 = 16 - 4 = 64

So 100% of the number is 64.

For example, copying files from one computer to another occurs at a speed of 20% in 5 minutes. How long will the whole copying process take?

5 - 100 / 20 = 5 - 5 = 25

The need to calculate percentages comes up quite often. With the calculator and our tips, you will quickly cope with the most intricate calculations. Believe in yourself - everything will work out!

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