# Modify through Percentage Increase or Decrease

Percentages help compare various sums. A fractional number expressed as a percentage of 100 is called a “portion.” When anything is described as “100% of something,” it is assumed to be the whole thing. Instead of quoting the exact dollar amounts, you may more quickly compare the two by referring to the associated percentage changes. The best way to determine a % number is with the help of a percentage calculator.

## A Percentage-Based Raise

The first step in evaluating the rate of expansion of a number over time is to calculate the gap between the two positions. The percentage growth from the initial value may be determined using this difference.

## A Decrease in the Percentage

The first step in determining the rate of fall of a quantity over time is to determine the gap between the beginning and end points. We then use the % difference between the two figures to express how much the new value is less than the previous one.

## Evaluation of Two Numbers Utilizing a Percentage

The concept of a percentage is well-known to us. It’s a popular word to gauge how far along in our education we are. However, when we talk about percentages, just what are we talking about? Percentages serve as the foundation for both our grading and scoring systems. It is much more challenging to recall raw exam scores than to remember percentages. As a result, it is reasonable to conclude that comparing percentages is far more applicable in everyday life.
The term “percent” is initially taken from the Latin phrase “per centum.”

This sign denotes a system of measurement in which one unit equals one hundred, and this symbol also represents this system. One interpretation of the sign % is a percentage, while another reads it as a hundredth symbol. Rates are always expressed as fractions, with 100 serving as the denominator of the bit.

## The Percentage Method of Comparing Two Amounts

A score of 80 indicates that you obtained 80 points out of a possible 100. You may also write it as a decimal like this:

We’re all well aware that our air contains various gases in varying concentrations. When comparing the relative quantities of different gases in 1 gram of air, we can see that utilizing percentages is the most straightforward technique. The percent is the preferable and easier method than decimals, fractions, and ratios.

## Changes in Percentage and Some Examples

• Here’s an initial example:

Suresh’s salary increased from INR 18,000,000 to INR 22,000,000. Work out the annual percentage rate of expansion.

Therefore, Rs. 18,000 is the correct answer (the original salary)

Gain from Rs. 18,000 to Rs. 22,00,000

This translates to a 4,000 rupee (or \$600) increase in annual salary (Rs 22,00,000 minus Rs 18,00,000).

Percentage raise in pay = (new salary / previous salary) x 100

= (4,00,000/18,00,000) x 100 = 22.22%

Here’s another case in point:

Due to the pandemic, the town’s population plummeted from 18,560 to 15,787. How much of a population decline is that relative to what year exactly

At the time of the first count, there were 18,560 people in the area.

Drop in population = 15,787

18 minus 15 minus 783 Equals a -2,773 drop in population.

To express a population decline as a percentage, we multiply the result of (Decline in Population / Initial Population) by 100.

= (2773/18560) x 100 = 14.94%