How to Calculate Percentage Easily: Formula, Examples & Tips
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 for Students
1. What does the term 'percentage' mean in Mathematics?
The word 'percentage' originates from the Latin phrase "per centum," which translates to "out of one hundred." In mathematics, a percentage is a fraction or a ratio in which the value of a whole is always considered to be 100. For example, 25% signifies 25 parts out of a total of 100 parts.
2. What is the basic formula to calculate a percentage?
To calculate a percentage, you use the fundamental formula: Percentage = (Value / Total Value) × 100. The process involves two steps: first, divide the 'part' (the specific amount you are considering) by the 'whole' (the total amount). Second, multiply this result by 100 to convert it into a percentage. For example, if a student scores 45 marks out of a total of 50, the percentage is calculated as (45 / 50) × 100 = 90%.
3. What are some real-world examples where a percentage calculator is useful?
A percentage calculator is useful in many everyday situations because it standardises comparisons. Key examples include:
- Calculating Discounts: Determining the final price of an item during a sale (e.g., 30% off).
- Academic Grades: Finding the percentage of marks obtained in an exam to gauge performance.
- Financial Planning: Calculating interest on savings, loans, or credit cards.
- Cooking and Nutrition: Understanding the percentage of nutrients in food based on recommended daily allowances.
- Analysing Data: Interpreting statistics in news reports, such as election results or economic growth.
4. How do you calculate a percentage increase or decrease?
To find a percentage change, you compare the change in value to the original value. The formula is: Percentage Change = [(New Value - Original Value) / Original Value] × 100. If the result is positive, it represents a percentage increase. If the result is negative, it represents a percentage decrease. This is commonly used to track price changes, population growth, or performance improvement.
5. Why is a percentage always calculated out of 100?
Percentages are calculated out of 100 to provide a universal and simple standard for comparing different quantities. By converting various fractions (like 3/4 or 4/5) into a common base of 100 (75% and 80%), it becomes much easier to understand their relative size and make direct comparisons without needing to find a common denominator.
6. Can a percentage be greater than 100? What does that signify?
Yes, a percentage can definitely be greater than 100. This happens when the value being measured is larger than the original reference value. A percentage over 100 signifies growth or an amount that has more than doubled. For instance, if a city's population grows from 1 lakh to 2.5 lakhs, its new population is 250% of the original. It is often used to describe significant increases in profit, investment returns, or statistical data.
7. What is the fundamental difference between a percentage and a fraction?
The fundamental difference lies in their denominator. A fraction can have any whole number as its denominator and represents a part of that whole (e.g., 3/8 means 3 parts out of 8). A percentage is a specific type of fraction where the denominator is always fixed at 100. This fixed base of 100 is what makes percentages a standardised tool for comparison.
