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Percentage Formula, Percentage Calculator and Questions

Percentage: Introduction

Percentage: Percentage is a way of expressing a number as a part of 100. It is denoted by the symbol “%”. Percentages indeed serve as a valuable tool for expressing relative quantities and making comparisons, and they find application in a wide range of fields, including finance, economics, education, and competitive examinations.

Percentage Calculator

In this article, we are providing the basic definition of a percentage along with the formula of percentage and percentage questions which helps you with a percentage calculator and increase your score in the government competitive exams. You can learn shortcut percentage methods, and 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.

Percentage Meaning/ Percentage Definition

Percentage is a mathematical expression used to represent a fraction of a whole, usually denoted by the symbol “%.” It is a way of expressing a part or a portion of something in relation to the whole, typically out of 100. In other words, it quantifies how much one quantity or value represents concerning the total or the entire quantity.

The formula to calculate the percentage of a quantity in relation to the whole is:

Percentage=(PartWhole)×100

Here’s what each component represents:

  • Percentage: The result you’re trying to find, represented as a percentage value.
  • Part: The specific quantity or portion you’re interested in.
  • Whole: The total or the entire quantity.

Percentage Formula, Percentage Calculator and Questions_30.1

How to Calculate Percentage?

Here we are providing some examples to give you samples of how to calculate percentages using the percentage formula. These questions will help you to understand the Percentage, and percentage formula using a percentage calculator.

Percentage Sample 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

Increase 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 %

Percentage Chart

The table below lists out some common fractions and their corresponding percentages.

Fraction Percentage
1/2 50.00%
1/3 33.33%
1/4 25.00%
1/5 20.00%
1/6 16.66%
1/7 14.28%
1/8 12.50%
1/9 11.11%
1/10 10.00%
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FAQs

What symbol is used to denote 'percentage'?

'%' symbol is used to denote the percentage.

What does the word percentage mean?

Percent means “for every 100” or "out of 100."

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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