How To Calculate Percentage In mathematics, “percent” refers to how much of something is out of a hundred. It’s a simple way to compare numbers, just like we use fractions, ratios, or decimals. Percentages are usually written with the symbol “%,” but are sometimes written as “percent” or “pct.” For example, 35% means 0.35, or 35 parts out of 100.
To find the percentage, we multiply the ratio by 100. For example, there are 25 boys out of 50 in a class. The ratio is 25 ÷ 50, which is 0.5. When we multiply 0.5 by 100, the answer is 50%.
Formula For How To Calculate Percentage
The percentage formula can be written in different ways, but it is essentially a simple algebraic equation with three parts
P×V1=V2
Here P represents the percentage, V1 is the number to which the percentage is applied, and V2 is the result obtained after applying the percentage. When you use a calculator, it automatically converts the percentage to a decimal and gives the answer. But if you are trying to find the percentage, the result is given directly in percentage, not in decimal form.
How to Calculate Percentage of Marks
Students often need to convert numbers to percentages for various practical purposes. This could include calculating exam results, applying for scholarships, fulfilling visa requirements, or checking salary increases.
This is a simple method by which you can calculate the percentage of marks obtained in different subjects. It can also be used to assess overall academic performance or academic quality.
Percentage of marks = (Total marks earned/marks available) ×100
Percentage Change Between Two Numbers
A percent change shows how much a quantity has increased or decreased over time, and this change is expressed as a percentage. For example, an increase in population or a decrease in poverty. To calculate this, a formula is used that expresses the change as a percentage. When calculating a percent change, two cases arise: one is an increase and the other is a decrease.
- Calculate percentage decrease
- Calculate percentage increase
Percentage Decrease
Percentage decrease shows how much a quantity has decreased over time, and this decrease is expressed as a percentage. For example, a decrease in the amount of rainfall or a decrease in the number of corona patients. The following formula is used to find the percentage decrease:
Example: Suppose the amount of rainfall has decreased from 127 mm to 103 mm. Now we have to find the percentage decrease of this change.
Solution: To find the percentage decrease, first subtract the new number from the old number, then divide the result by the old number, and finally multiply by 100.
Percentage Increase
Percentage growth shows how much a quantity has increased over time, and this increase is expressed as a percentage. For example, an increase in a population or an increase in the number of bacteria on a surface. The following formula is used to find the percentage growth:
Example: The price of a jacket has increased from $100 to $150. We need to find out by what percentage the price has increased.
How to calculate percentage of CGPA, GPA, and SGPA
Knowing your academic percentage is helpful when you need to choose the right course or program. Here is a simple guide on how to convert CGPA, GPA and SGPA to percentage.
GPA to Percentage
To convert your grade point average (GPA) to a percentage, multiply it by 25.
CGPA to Percentage
To convert your cumulative grade point average (CGPA) to a percentage, multiply it by 9.5.
SGPA to Percentage
To convert your semester grade point average (SGPA) to a percentage, use the following formula:
This method helps you better understand your academic standing in different grading systems.
FAQs
Q1: What is a percentage?
Answer: A percentage represents a number out of 100. For example, 45% means 45 out of 100.
Q2: How do I calculate percentage from marks?
Answer: Divide the marks obtained by the total marks, then multiply the result by 100.
Percentage=Total MarksMarks Obtained×100
Q3: How do I calculate percentage increase?
Answer: Subtract the original value from the new value, divide the difference by the original value, and multiply by 100.
Percentage Increase=Original Value New Value – Original Value×100
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