Before we start off with studying the percentage formula, first we need to know the definition of percentage. So, let’s study from the base. The term ‘Percentage’ originates from the Latin word ‘per centum’. ‘Per Centum’ means ‘by hundred’. Percentages are the fractions that are divided by the number 100, which acts as the denominator value. We know by now, that the percentage formula means to find out the share of the whole chunk in relation to 100. We can find percentages in two following ways; in the next section we will find out.
Two Ways of Finding the Percentage
If we want to find the share of the whole in terms of the units 100 then there are ways where we need to find out the percentage. They are as follows:
- Using the unitary method
- Changing the denominator of the fraction in terms of 100.
To Note: Students should pay attention here that the second method of calculating the percentage of turning the fraction into 100 can only be used when there is a situation of the fraction. Here we use the unitary method only.
Example of Percentage
An example of Percentage can be – If Rita took a Mathematics test and scored 60%, this means that Rita had scored 60 marks out of the total 100 marks in the mathematics examination. These marks can also be written as 60/100, which will be in the form of a fraction or also in the form of a ratio as 60:100.
Thus, we see a percentage is rightly defined as a part which is in every hundred. The denominator in the fraction which is 100 is being represented by the symbol ‘%’.
How do we form a percentage?
Percent is another name for indicating the hundredth form. For this, 1% which is one-hundredth this means 1% = 1/100 which is 0.01.
What Will be the Percentage Difference Between the Two Numbers?
The percentage difference between two numbers is to be defined as the change in the quantity value which changes or varies over a period of time. In the percentage form we need to find out the increase or decrease in some quantifiable values this is being referred to as the – Percentage Change.
This increase and decrease in percentage help us in easily estimating the increase or decrease in some of the quantity as in the form of percentages like – increase in human population in a particular country or decrease in malnutrition over the years.
So, there is a definite formula for estimating this. They are as follows:
- Percentage Increase
- Percentage Decrease
How Do You Calculate Percentage Increase?
Percentage increase refers to the change in the percentage of value that happens due to the incremental value effect.
The formula can be: (Increased Value – Original Value) / Original Value x 100
How Do You Calculate Percentage Decrease?
A decrease in percentage refers to the change in ‘per’ value when decreased over time. For example, a decrease in the level of standard of living.
The formula will be (Original Value – Decreased Value) / Original Value x 100.
Tips To Note While Calculating in The Percentage Form:
There are some simple tips and tricks which are to be followed while playing with percentages. Remember the following points:
- In order to find the percentage of data, first, calculate the value with 1% and then multiply the answer same by the percent that we are required to estimate in the given data.
- The increase or decrease in the quantity is to be estimated in the form of a percentage.
- Fractions are converted in the form of percentages and the percentages are turned back to their original form.
- Thus, we see, percentages play reversibly
Math Classes for Guidance
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