Percentage- How to Calculate, Formula and Tricks

In Maths, a Percentage is a Number or Ratio Expressed as a Fraction Over 100. In other words, per cent means parts per hundred and is given by the symbol %. If we need to calculate the percent of a number you just need to divide the number by whole and multiply with 100. Percentages can be represented in any of the forms like decimal, fraction, etc.

You can get complete information regarding Percentages like Definitions, Formulas to Calculate Percentages, Conversions from Percentages to another form, and vice versa in the coming modules. Learn the Percentage Difference, Increase or Decrease Concepts too that you might need during your academics or in your day-to-day calculations.

List of Percentage Concepts

Access the concepts that you want to learn regarding the Percentage through the quick links available. Simply tap on the concept you wish to prepare and get the concerned information explained step by step. Clarify all your queries and be perfect in the corresponding topics.

  • Fraction to Percentage
  • Percentage to Fraction
  • Percentage to Ratio
  • Ratio to Percentage
  • Percentage to Decimal
  • Decimal to Percentage
  • Percentage of the given quantity
  • How much Percentage of One Quantity of Another?
  • Percentage of a Number
  • Percentage Increase
  • Percentage Decrease
  • Basic Problems with Percentage
  • Solved Examples of Percentage
  • Problems on Percentage
  • Real-Life Problems on Percentage
  • Word Problems on Percentage
  • Application of Percentage

Percentage Formula

To make your calculations quite simple we have provided the Percentage Formula here. Make use of it during your calculations and arrive at the solution easily.

Formula to Calculate Percentage is given by = (Value/Total Value) *100

How to Calculate the Percentage of a Number?

To find the Percent of a Number check the following procedure

Consider the number to be X

P% of number = X

Removing the % sign we have the formula as under

P/100*Number = X

Percentage Change

% Change = ((New Value – Original Value)*100)/Original Value

There are two different types when it comes to Percent Change and they are given as under

  • Percentage Increase
  • Percentage Decrease

Percentage Increase

If the new value is greater than the original value that shows the percentage change in the value is increased from the original number. Percentage Increase is nothing but the subtraction of the original number from the new number divided by the original number.

% increase = (Increase in Value/Original Value) x 100

% increase = [(New Number – Original Number)/Original Number] x 100

Percentage Decrease

When the new value is less than the original value, that indicates the percentage change in the value shows the per cent decrease in the original number. Percentage Decrease is nothing but the subtraction of a new number from the original number.

% Decrease = (Decrease in Value/Original Value) x 100

% Decrease = [( Original Number – New Number)/Original Number] x 100

Percentage Difference

If you need to find the Percentage Difference if two values are known then the formula to calculate the Percentage Difference is given by

Percentage Difference = {|N1 – N2|/(N1+N2/2)}*100

Conversion of Fraction to Percentage

To convert fractions to percentages follow the below-listed guidelines.

  • Divide the numerator with the denominator.
  • Multiply the result with 100.
  • Simply place the % symbol after the result and that is the required percentage value.

Conversion of Decimal to Percentage

Follow the easy steps provided to change between Decimal to Percentage. They are as such

  • Obtain the decimal number.
  • Simply multiply the decimal value with 100 to get the percentage value.

Solved Examples of Percentage

1. What is 50% of 30?

Solution:

Given 50% of 30

= (50/100)*30

= 1500/100

= 15

Therefore, 50% of 30 is 15.

2. Find 20% of 40?

Solution:

Given 20% of 40

= (20/100)*40

= (20*40)/100

= 800/100

= 8

3. What is 15% of 60 equal to?

Solution:

= (15/100)*60

= (15*60)/100

= 900/100

= 9

4. There are 120 people present in an examination hall. The number of men is 50 and the number of women is 70 in the examination hall. Calculate the percentage of women present in the examination hall.

Solution:

Number of Women = 70

the percentage of women present in the examination hall = 70 is what per cent of 120

Percentage of Women = (70/120)*100

= (7000)/120

= 700/12

= 58.3333 %

The Percentage of Women in the Examination Hall is 84%.

5. What is the percentage change in the rent of the house if in January it was Rs. 20,000 and in March, it is Rs. 15,000?

Solution:

We can clearly say that there is a decrease in the rent

Decreased Value  = 20,000 – 15, 000

= 5, 000

Percent Change = (Decreased Value/Original Value)*100

= (5000/20,000)*100

= (1/4)*100

= 25%

Hence, there is a 25% decrease in the rent.

FAQs on Percentage

1. What is meant by Percentage?

A percentage is a Number or Ratio Expressed as a Fraction Over 100.

2. What is the Formula for Percentage?

The formula for Percentage is (Value/Total Value) *100

3. What is the Symbol of Percentage?

The symbol % denotes the percentage.

4. What is 10% of 45?

10% of 45 is given by 10/100*45 i.e. 4.5

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