Percentage Formula

Percentage Formula

The term “per cent” comes from the Latin word “per centum” which means “hundreds”. The Percentage Formula is a fraction with 100 as the denominator. In other words, it is the relationship between the part and the whole that makes the whole value always 100.

What is the Percentage Formula? A Percentage Formula is a fraction or ratio whose overall value is always 100. For example, if Sam got 30% on a Mathematics test, that means he got 30 out of 100. Fractions are written as 30/100 and ratios as 30:100. 

What is Percentage?

The Percentage Formula is used to find the amount or ratio of something to 100. In its simplest form, per cent means parts per hundred. A Percentage Formula is used to represent a number between 0 and 1. It is defined as a number expressed as a fraction of 100. Represented by the % symbol, used primarily for ratio comparisons and searches.

Calculation of Percentage

A Percentage Formula is defined as a specific part or amount of 100. A fraction, with a denominator of 100, is represented by the “%” symbol.

The Percentage Formula is the ratio of the whole to 100. There are generally two ways to find the percentage of any number.

By applying a uniform method. Change the fraction denominator to 100. Note that the second method of calculating percentages is not used in situations where the denominator is not a factor of 100. In such cases, use the unit method.

How to get a Percentage?

Percentage Formula is another name for the hundredth. 1% is 1/100, so 1% = 1/100 = 0.01.

Let’s calculate the percentage using the above two methods.

If there are two or more values ​​that sum to 100, each value’s percentage of the total is that number itself. 

Formula to Calculate Percentage

The total number of items will be 100, so the percentage is easy to calculate.

What if the total number of items is not reaching 100? In such cases, convert the fractions to equivalent fractions with a denominator of 100.

For example, Emma has her 20-beaded bracelet in two different colours, red and blue. The table below shows the Percentage Formula of red and blue beads out of 20 beads. Emma’s sisters Nora and Jenny also calculated percentages, but in different ways.

Nora used the unit system. She uses a uniform method of calculating the Percentage Formula, let’s say she has 8 of her 20 beads that are red. So out of 100, the number of red beads is 8/20 × 100 = 40%.

Jenny multiplied the numerator and denominator by her 5/5 to convert the 8/20 fraction to her equivalent 40/100 fraction. So 8/20 = (8×5)/(20×5)

 = 40/100

 = 40%

Percentage Formula used to find the percentage of a whole over 100. You can use this formula to express a number as a fraction of 100. If you look carefully, all three ways to get the above Percentage Formula can be easily calculated using the formula below.

Percentage Formula = (value/total) x 100 

Percentage difference between two numbers 

A percentage difference is the percentage change in the value of a quantity over a period of time. Sometimes you need to know the percentage increase or decrease of a certain quantity, also known as a percentage change. For example, population growth, poverty reduction, etc. I have a formula that represents a percentage change in quantity. When calculating the percentage difference, the following two cases can occur.

How do you calculate the growth rate? Growth rate refers to the rate of change of a value as it increases over a period of time. For example, increased populations, increased numbers of bacteria on surfaces, etc. Growth rate can be calculated using the following formula:

Growth Rate = (Increase Value – Original Value)/Original Value * 100

How do you calculate the attrition rate? The rate of Decrease refers to the rate of change in a value as it decreases over a period of time. For example, less rainfall, fewer Covid cases, etc. The decrease rate can be calculated using the following formula:

Decrease rate = (original value – decreased value)/original value × 100

Points to remember:

To find the total Percentage Formula, calculate the 1% value and multiply by the desired percentage. Any amount of increase or decrease can be expressed as a percentage. You can convert fractions to percentages and vice versa, and percentages are reversible. For example, 25% of 40 is equivalent to 40% of 25.

Percentage Difference Between Two Numbers

The Percentage Formula difference between two values/numbers is calculated by dividing the absolute value of the difference between the two values ​​by the average of those two values. Multiplying the result by 100 will give you the answer in percentages, not decimals. See the following formula for a quick explanation: Percentage difference formula = |A1 – A2|/ (A1 + A2)/2× 100 Example: Find the percentage difference between two values ​​20 and 4 here increase. Solution: The two values ​​given are 20 and 4So,|20 – 4| / (20 + 4)/2 × 100= 4/3 × 100= 1.33 × 100= 133.33 How to Calculate Percentage Increase?

How to Calculate Percentage Decrease?

The rate of decrease and rate of increase is computed by finding the difference between two values ​​and comparing the difference to the leading value. In terms of mathematical concepts, this involves taking the absolute value of the difference between two values ​​and dividing the result by the primary value to usually calculate how much the primary value has changed. The Percent Change Calculator calculates a specified percentage increase or decrease of an entered number. Generally, consider converting percentages to decimals and adding or subtracting decimals to 1. Multiplying the leading number by this value will increase or decrease the number by the specified percentage. See the example below for clarity.

Solved Examples on Percentage

Example 1: Robert got his 5% raise. His current salary is $70,000. Calculate his revised salary after promotion.

Solution: Robert’s current salary = $70,000

A 5% raise means his 5% of 70,000 = 5/100 x 70,000.

5 x 700 = $3500

Robert’s raise is $3500.

So his new salary is $70,000 + $3,500 = $73,500. ∴ Robert’s salary after the promotion is $73,500.

Example 2: Neil bought a new mobile phone for himself for $90. The value of mobile phones is declining by 3% each year from their original price. Determine the value of his cell phone after 3 years.


 3% of 90 is $2.7.

This phone depreciates by $2.7 each year. So the phone’s value after 3 years is: 90 – (3×2.7) = $81.9

 ∴ After 3 years, the mobile phone will be worth $81.9

Practice Questions on Percentage

To subtract a percentage from a number, simply multiply that number by the Percentage Formula students want to keep. For example, to subtract 10% from 500, simply multiply 90% by 500.

  •  How to calculate the average Percentage Formula

Follow the steps to calculate the average Percentage Formula: The average Percentage Formula can be calculated by dividing the total number of items expressed as a percentage by the total number of items. In other words, calculate the average Percentage Formula by dividing the total number of items expressed as a percentage by the total number of items

Convert the Percentage Formula to decimals. For example, to calculate the average of 30% of 50 and 20% of 80, convert them to decimal form (0.3 and 0.2 respectively). Write the number represented by each decimal. In this case, 0.3 × 50 = 15 or 0.2 × 80 = 16. Add the numbers obtained. (15+16=31). Find the total sample size. (50+80=130). Divide the total number obtained in step 3 by the number obtained in step 4. So 31/130 = 0.24. This decimal represents 24%, which is the average percentage you want. 

  • How Percentages Are Calculated?

Percentages are calculated by dividing the value by the total and multiplying the result by 100. The formula used to calculate the percentage is (value/total) x 100%.

  • What is a number Percentage Formula

A number Percentage Formula is the number value out of 100. For example, there are 26 girls and 24 boys in a class. In other words, she is 52% of the girls in her class or 52 out of 100 girls.

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FAQs (Frequently Asked Questions)

1. What is Percentage in Change?

The rate of change is the rate of change from the old value to the new value. Calculated using the following formula: % change = (difference between old and new value/old value) x 100%

2. What are some practical examples of percentages?

Here are some practical examples of percentages.

Cell phone or laptop battery percentage. Percentage of nutrients contained in the food package. The composition of oxygen, carbon dioxide, nitrogen, etc. in the air. Percentage of performance on a test.

3. Comparing the number of Covid-recovered patients between two or more cities would be a percentage, etc. Could the percentage exceed 100?

Yes, if the value is greater than the total, the percentage would exceed 100 There is a possibility.

4. What is the formula for decimal percentages?

To convert a percentage to a decimal, omit the per cent sign (%), divide by 100, and write the resulting fraction in decimal form.