How to calculate percentages | Webcalculate (2024)

Percentages are basically fractions out of 100. So 1 percent of something can be determined by dividing the item by 100. 3 percent would be the item divided by 100 and then multiplied by 3 and so on.

Percentage is used for all sorts of purposes. Below are some common examples of how they might be used in real-life and some simple methods to work out the percentage.

Find the percentage of a number

You may wish to find how much discount you are getting on a product you are buying or work out how much tax you should pay. This is where knowing the percentage of a number is very useful.

As an example we will calculate 15% of 200.

Step 1 - Divide

Divide the percentage by 100 (15 / 100 = 0.15). This gives us a decimal number (0.15)

Step 2 - Multiply

Multiply the number by the decimal we calculated in step 1 (200 * 0.15 = 30)

Result

And that's all! The answer in our example is 30%.

Use our percent of a number calculator to work this out for you.

Find the percentage one number is of another

This calculation is useful to find what percentage one amount is of a larger amount. You will see this in use in many places such as food packaging where we can see what a particular ingredient is of the overall amount.

As an example we will calculate what 15 is of 60.

Step 1 - Divide

Divide the first number by the number it is a percentage of. (15 / 60 = 0.25)

This gives us a number (0.25)

Step 2 - Multiply

Multiply the number we calculated in step 1 by 100. (0.25 * 100 = 25)

Result

The answer for our example is 25%.

Use our What percentage one number is of another calculator to work this out for you.

Find the percentage increase from one number to another

Lots of things go up in number from what you earn, to prices and even scores in a game. This calculation allows you to measure how much the increase is using percentages.

As an example we will calculate what the percent increase from 40 to 70 is.

Step 1 - Subtract

Subtract the original number from the new number (70 - 40 = 30)

This gives us the decrease amount (30)

Step 2 - Divide

Divide the decrease amount by the new number (30 / 40 = 0.75)

This gives us the decimal number (0.75)

Step 3- Multiply

Multiply the decimal number by 100 (0.75 * 100 = 75%)

Result

The answer for our example is 75%.

Use our Percentage difference calculator to work this out for you.

Find the percentage decrease from one number to another

If something drops in number such as the amount of goods you have left, this calculation allows you to measure using percentages how much the decrease is.

As an example we will calculate what the percent decrease from 60 to 40 is.

Step 1 - Subtract

Subtract the new number from the original number (60 - 40 = 20)

This gives us the decrease amount (30)

Step 2 - Divide

Divide the decrease amount by the new number (20 / 40 = 0.5)

This gives us the decimal number (0.5)

Step 3 - Multiply

Multiply the decimal number by 100 (0.5 * 100 = 50%)

Result

The answer for our example is 50%.

Use our percentage difference calculator to work this out for you.

Further information

These examples show one method for working out each of these examples. If you would like to read a more detailed explanation of other methods for calculating percentages you may find the wikiHow calculating percentages article useful.

How to calculate percentages | Webcalculate (2024)

FAQs

How to calculate percentages | Webcalculate? ›

To calculate a percentage, you typically divide the part (the smaller value) by the whole (the larger value), and then multiply the result by 100.

What is the formula to calculate percentage? ›

Basic calculations and background

To convert fractions to percentages divide the numerator (number on the top) by the denominator (number on the bottom) and multiply by 100 this will give you the fraction as a percentage. For example 58 can be expressed as a percentage by 5÷8×100=62.5 5 ÷ 8 × 100 = 62.5 %.

How do you calculate the percentage of an amount? ›

How to calculate percentages
  1. Determine the two numbers involved. Though percentages are exact, they're always a relative figure. ...
  2. Divide the numbers. The next step requires some simple division, and in many cases, it's going to be useful to have a calculator. ...
  3. Multiply the value by 100.
Nov 30, 2022

What is the easiest way to find percentages? ›

Calculating the percentage

Divide the part by the whole and multiply the result by 100. The student got 70% of the answers correct.

How do you calculate a percentage into a number? ›

The % is a percent sign, meaning divided by 100. So 25% means 25/100, or 1/4. To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25.

What is the formula for per percentage? ›

To calculate PAR inventory levels, use the following formula: PAR level = (amount of inventory used each week + safety stock) ÷ (number of deliveries each week)

How do I calculate my total percentage? ›

Step 1: Divide the obtained marks by the maxim marks of the test. Step 2: Multiply the result by 100. Go through the example given below to understand the process of finding the percentage of marks. Example 1: A student scored 1156 marks in the examination out of 1200 marks.

How to calculate average percentage? ›

Divide the sum of the percentages by the sum of the total products produced from each category. So, 615 divided by 900 is equal to 0.68. Multiply this decimal by 100 to get the average percentage. So, 0.68 times 100 equals 68, or 68%.

How do you manually calculate percentages? ›

It is calculated by using the formula (part/whole) × 100. For example, in a class, there are 26 boys and 24 girls. So, the percentage of boys in the class is 26/(26+24) × 100 = 26/50 × 100 = 52%, which means out of 100, 52 are boys.

How to solve percentage problems quickly? ›

To solve percent problems, you can use the equation, Percent ⋅ Base = Amount , and solve for the unknown numbers. Or, you can set up the proportion, Percent = amount base , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.

How to calculate interest percentage? ›

Formula: Simple Interest (SI) = Principal (P) x Rate (R) x Time (T) / 100. Example: If you invest $1,000 with a 5% annual interest rate for 3 years, you'd earn $150 in simple interest.

What is the formula for percentage? ›

Percentage Formula

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

How to calculate profit percentage? ›

When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.

How do you find the percentage of a number to another number? ›

Consider two numbers 30 and 45. Let us calculate what percentage is 30 out of 45. For this, we divide the part (30) by the whole (45) and multiply the result by 100. This gives 30/45 × 100 = 66.67%.

What is 20% out of 45? ›

Multiply 20 by 45 and divide both sides by 100. Hence, 20% of 45 is 9.

How do you calculate 10% of $1000? ›

(10/100)*1000 = 100.

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