Percentage Formula Definition and Examples

The percentage is used to find out the share or amount of something in terms of 100. In the simplest form, percent means per hundred. Percentages are a portion or fraction of 100 and it is denoted by the symbol ‘%‘, the percentage is majorly used to compare and find out ratios. The percentage is an interesting topic that helps you to calculate interest in your daily life. Various competitive examinations such as SSC, Banking, CAT, MAT, etc ask the percentage questions in its aptitude section. In this article, we are providing the basic definition of percentage along with the percentage formula and percentage questions. You can learn shortcut percentage methods, formulas to solve the questions on this topic. To score good marks in any exam, it is necessary to have knowledge of the important topics and clear the basic concepts.

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Percentage Meaning/ Percentage Definition

Percent means “for every 100” or “out of 100.” The (%) symbol as a quick way to write a fraction with a denominator of 100. For example, instead of saying “Ram scored 70 out of 100,” we say “Ram scored 70%”. The percentage can be repressed in decimal form also like 67.9% or 0.72%.

Comparing Numbers Using Percentage Formulas: Methods and Examples

Percentage Formula

Formula to calculate Percentage is very simple.

Percentage = (Value ⁄ Total Value) × 100

Now let’s take a look at a few examples using this formula.

PERCENTAGE How to Calculate

Percentage Questions

Example 1: There are 200 students in a class. Out of them, 90 are girls. Find the percentage of girls in the class?

Solution: We are given,

Total students in the class=200

Girls in the class = 90

Percentage of girls in the class = (Girls in the class⁄ Total no. of students) × 100

Percentage of girls in the class = (90/200)x100 = 45%

Example 2: The price of a $1.50 candy bar is increased by 25%. Calculate the new price?

Solution: We are given,

Price of the Candy= $1.50

Increased in the price of candy= 25% or 25/100

New Price of candy= Old Price + increase in price

New Price of candy= 1.50 +25/100

New Price of candy= 1.50 + 1.50 ×.25

New Price of candy= $ 1.875

Example 3: Radha earns a monthly salary of $1200. She spends $280/month on food. What percent of the monthly salary does she save?

Solution: Monthly salary of Radha= $1200

Salary saved by Radha = $(1200 – 280) = $920

The fraction of salary she saves = 920/1200

Percentage of salary she saves = (920/1200)×100 = 920/12 = 76.667 %

Frequently Asked Questions

Q. What symbol is used to denote ‘percentage’?
‘%’ symbol is used to denote the percentage.

Q. What does the word percentage mean?
Percent means “for every 100” or “out of 100.”

Q. If Sukhbeer sold 12 pens for a rupee and he had a loss of 20%. How many pens he sold for a rupee if he wants to make a profit of 20%.
If he wants to make a profit of 20%. He must sell 8 pens for a rupee.

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