# Percentage Increase: Understanding the Basics

When it comes to measuring changes in numerical data, percentages are often used. Percentage increase, in particular, is a common metric that measures the amount of increase or growth that has occurred in a particular quantity. In this article, we will delve into the basics of percentage increase, including its definition, formula, and some examples to help you understand how it works.

## Definition of Percentage Increase

Percentage increase is a way to measure how much a certain quantity has grown or increased over time. Percentage increase is denoted by a percentage, which represents a portion of 100. For example, if a quantity has increased by 10%, it means that it has grown by one-tenth or 0.1 of its original size.

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## Formula for Percentage Increase

To calculate the percentage increase of a quantity, you need to know two values: the original value and the new value. Afterward, the following formula can be used:

Percentage increase = [(new value – original value) / original value] x 100%

For example, if the original value of a quantity was 100 and the new value is 120, you can calculate the percentage increase as follows:

Percentage increase = [(120 – 100) / 100] x 100% = 20%

This means that the quantity has increased by 20% from its original value.

## Examples of Percentage Increase

Let us take a look at some examples to understand how percentage increase works in practice.

### Example 1: The Price of a Stock

Suppose you bought a stock for \$100 per share, and its price increased to \$120 per share. The percentage increase can be computed in the following manner:

Percentage increase = [(120 – 100) / 100] x 100% = 20%

This means that the price of the stock has increased by 20% since you bought it.

### Example 2: Salary Increase

Suppose you received a salary increase from \$50,000 to \$60,000 per year. The percentage increase can be computed in the following manner:

Percentage increase = [(60,000 – 50,000) / 50,000] x 100% = 20%

This means that your salary has increased by 20% from its original value.

### Example 3: Population Growth

Suppose the population of a city was 1,000,000 people, and it increased to 1,200,000 people. The percentage increase can be computed in the following manner:

Percentage increase = [(1,200,000 – 1,000,000) / 1,000,000] x 100% = 20%

This means that the population of the city has increased by 20% since the last count.

## Importance of Percentage Increase

Percentage increase is an important metric that is used in many fields, such as finance, economics, and statistics. It is a simple and effective way to measure changes over time and can provide valuable insights into trends and patterns. For example, if the percentage increase of a stock price is consistently positive, it may indicate that the company is doing well and that investors are confident in its future prospects.

Moreover, percentage increase can also be used to compare changes across different data sets. For instance, suppose you are comparing the growth rates of two companies. One company’s revenue grew from \$10 million to \$15 million, while the other company’s revenue grew from \$5 million to \$8 million. Although the actual growth of the first company is higher than that of the second company, the percentage increase of the second company’s revenue is higher (60% compared to 50%). This comparison can help you understand which company is growing at a faster rate relative to its size.

## Summary

Percentage increase is a useful metric that can help you measure changes in numerical data and understand trends over time. It is a simple and effective way to express changes in percentages, and it can be used in many fields such as finance, economics, and statistics.

Understanding percentage increase is essential when analyzing data or making important decisions based on numerical data. By knowing how to calculate percentage increase, you can gain insights into trends and patterns, and make informed decisions based on the data.

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It is important to note that percentage increase should not be used in isolation when analyzing data. Other metrics and data points should also be considered to gain a complete understanding of the situation. For example, if a company’s revenue increased by 20%, it may be impressive, but it could also be important to look at the company’s expenses and profits to gain a more comprehensive understanding of its performance.

In conclusion, percentage increase is a fundamental concept that is used to measure changes in numerical data. It is an important metric that can help you understand trends and patterns over time and make informed decisions based on the data.