How to Use Percentage Calculator Formula with Solved Examples
Percentage is the number that denotes the fractional part out of 100. A percent literally means per hundred. Hence 89% means 89100. Similarly, we can represent the denominator of 100 with decimals by moving the decimal point by two places. Accordingly, 89 1100= 0.89. Therefore, 89% = 0.89 = 89100. A percentage calculator, also known as percentage converter, is a free online tool that makes your calculation easy and displays the result in a few seconds.
What is Percentage?
Percentage in any relative value representing hundredth parts of any quantity. One percent (represented as 1% ) is a hundredth part, thus 100% represent the entire quantity and 200% represent twice the given quantity.
For example: 1% of 1000 chocolate equals to 1000 1100 = 10 chocolates
How To Find Percentages?
To calculate the number corresponding to the percentage of a given number, say 20% of 40, simply perform multiplication. For example, 20100 40 = 8.
To convert fraction into percentage, first divide the numerator by denominator and then multiply the result in decimal by 100. For example, 5/4 = 1.25 100 = 125%.
To convert a given percentage into decimal, divide by 100. For example, 20% is 20100= 0.2
To convert decimal into percentage, multiply by 100 ( simply move the decimal point two places to the right side). For example: 0.035 100 = 3.5% and 2.45 100 = 245%.
Percentage Calculation Formula
In order to calculate the percentage, we should know the percentage calculation formula. The percentage formula is the ratio of actual value to the total value and multiply the result by 100.
Hence, the percentage formula is expressed as:
Let us learn how to find percentage with the help of the example given below:
Example:
There are 120 students in a class. Out of them, 60 are boys. Find the percentage of boys in class.
Solution:
Total number of students = 120
Boys in the class = 60
% of boys in class = 60120 100 = 50%
Therefore, 50% of boys are in class.
How to Calculate what Percentage of a Number is of Another Number?
To calculate what percentage of a number is of another number, simply divide one number by another number and multiply the result by 100.
Example:
What percentage of 120 is 60?
Solution:
To calculate the given number in percentage, simply divide the first number by second number and multiply the result by 100 as shown below:
60120 100 = 50%
How to Calculate Marks in Percentage?
To calculate the percentage of marks, divide the marks obtained in the examination by the maximum marks and multiply the result with 100.
For example: If a student has scored 85 out of 100 in Mathematics, 65 out of 100 in Physics, 75 out of 100 in Chemistry, the total marks secured by the student is (85 + 65 + 75) = 225 out of ( 100 + 100 + 100) = 300.
Therefore, percentage of marks obtained by the student is 225300 100 = 75%.
Percentage of Marks Formula
The percentage of marks can also be calculated easily by using the following formula:
Percentage Converter
Percentage converter is a free online tool that helps you to calculate percentages. Below is an example of a percentage converter.
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Calculate
Answer:
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Calculate
Answer:
Percentage Calculator Steps
Following are the steps to calculate percentage using the percentage converter shown above.
Step 1: Enter the number in the respective input field
Step 2: Click on the button “ Solve” to get the percentage
Step 3: Finally, the percentage of a given input will be displayed in the output field.
Percentage Calculator For Marks
Percentage calculator for marks is a free online tool that helps you to calculate the percentage of marks obtained in the examination at no time. Below is an example of a percentage marks calculator.
Scored Marks
Total Marks
Answer
Percentage Calculator Steps
Step 1: Enter the scored marks in the given input field in the calculator .
Step 2: Enter the total marks obtained in the given input field in the calculator .
Step 3: Click on the button “ Solve” to get the percentage
Step 4: Finally, the percentage of marks will be displayed in the output field.
Solved Examples on Percentage
1. 30 is what percentage of 60?
Solution:
We know that percentage = Actual ValueTotal Value 100
Substituting the values in the above percentage formula, we get:
3060 100
= 50%
2. What is 10% of 50?
Solution:
10% of 50 can be written as:
10100 50
= 5
Hence, 10% of 50 is 5.
FAQs on Percentage Calculator Complete Guide with Formula and Uses
1. What is a percentage calculator?
A percentage calculator is a tool used to quickly compute percentages, such as finding a percent of a number, percentage increase, or percentage decrease. It helps solve common percentage problems like:
- Finding X% of Y
- Calculating percentage increase or decrease
- Determining what percent one number is of another
2. How do you calculate a percentage of a number?
To calculate a percentage of a number, use the formula (Percentage ÷ 100) × Number. Follow these steps:
- Convert the percentage to a fraction by dividing by 100.
- Multiply the result by the given number.
3. What is the formula for percentage?
The basic formula for percentage is (Part ÷ Whole) × 100. This formula is used to find what percent one number is of another.
- Identify the part value.
- Divide it by the whole value.
- Multiply by 100.
4. How do you calculate percentage increase?
Percentage increase is calculated using the formula ((New Value − Original Value) ÷ Original Value) × 100. Steps:
- Find the difference between new and original values.
- Divide the difference by the original value.
- Multiply by 100.
5. How do you calculate percentage decrease?
Percentage decrease is calculated using ((Original Value − New Value) ÷ Original Value) × 100. Steps:
- Subtract the new value from the original value.
- Divide by the original value.
- Multiply by 100.
6. How do you find what percent one number is of another?
To find what percent one number is of another, use (Part ÷ Whole) × 100. This shows the percentage relationship between two numbers.
- Divide the smaller value (part) by the larger value (whole).
- Multiply the result by 100.
7. How do you convert a decimal to a percentage?
To convert a decimal to a percentage, multiply the decimal by 100 and add the percent symbol (%).
- Decimal × 100
- Attach % sign
8. How do you convert a fraction to a percentage?
To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. Steps:
- Compute numerator ÷ denominator.
- Multiply the result by 100.
9. What is the difference between percentage and percent?
The term percent means “per hundred,” while percentage refers to the actual value or rate calculated. For example:
- “20 percent” means 20 out of 100.
- The “percentage of students who passed is 20%.”
10. How do you calculate percentage change in real-life problems?
Percentage change in real life is calculated using ((New Value − Original Value) ÷ Original Value) × 100, whether it is profit, loss, population growth, or price change. Example (price increase):
- Original price = $200
- New price = $250
- Percentage change = ((250 − 200) ÷ 200) × 100 = 25%
