# Percentage Change Calculator

#### Percentage Change Calculator

\[ \dfrac{(V_2-V_1)}{|V_1|} \times 100 = \; ?% \]

Sure you know understanding the dynamics of percentage change is crucial for making up-to-date decisions. In this article, you will encounter percentage change, its properties, formulas and the vital tool – the percentage change calculator. Whether you’re a student of finance or just curious about how things change over time, this will furnish you with the knowledge of percentage changes smoothly.

Percentage change is a fundamental concept which is used to express the relative difference between two values. It is a powerful tool in various domains ranging from finance to statistics. Let’s consider a simple example:

If the price of a stock increased from $50 to $60, the percentage change can be calculated to understand the relative increase.

## Table of Contents

## Percentage Change Formula

The percentage change formula is straightforward:

\[\text{Percentage Change} = \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \times 100\%\]

To illustrate, suppose you bought a laptop for $800, and its current value is $1000. The percentage change would be:

\begin{align*}

\frac{1000 – 800}{800} \times 100\% \\

& = \frac{200}{800} \times 100\% \\

& = 25\%

\end{align*}

This directs a 25% increase in value.

**Properties of Percentage Change**

This Percentage change bears some properties which are as follows:

Percentage change serves as a relative measure which indicates the proportional difference between two values. It allows for comparison irrespective of the scale of the numbers involved and makes it a handy tool for various contexts. For example: Consider the prices of two houses- House A and House B. If House A increases from $200,000 to $220,000, and House B increases from $500,000 to $550,000, the percentage change allows us to compare the relative growth. House A has a 10% increase, while House B has a 10% increase as well.*Relative Measure:*

Percentage change can be positive or negative. A positive percentage change signifies an increase, while a negative percentage change specifies a decrease. This property makes it easy to recognize the direction and magnitude of the change. As for instance: Company X’s stock price increases from $50 to $60 which indicates a positive percentage change of 20%. Conversely, if Company Y’s stock price decreases from $80 to $72, the percentage change is -10%. This signals a negative change.*Positive and Negative Values:*

One notable property of percentage change is its independence of scale. Whether dealing with small or large values, percentage change provides a standardized measure. Say, Company P sees a revenue increase from $2 million to $2.5 million with a percentage change of 25%. Meanwhile, Company Q experiences a growth from $20 million to $25 million which also results in a 25% percentage change. The independence of scale allows for a fair comparison.*Independence of Scale:*

The percentage change is symmetrical in its calculation. Whether calculating an increase or decrease, the formula remains the same. This symmetry simplifies the understanding and application of percentage change in various scenarios. For example: If a product’s price decreases from $100 to $80, the percentage change is- \[ \frac{80 – 100}{100} \times 100\% = -20\% \] Similarly, if the price increases from $80 to $100, the percentage change is- \[ \frac{100 – 80}{80} \times 100\% = 25\% \]*Symmetry:*If the old and new values are identical, the percentage change is zero. This property aligns with the intuitive understanding that if there is no difference between two values, the percentage change should reflect stability or no change. For example: If the temperature remains constant at 30°C for consecutive days, the percentage change in temperature is- \[\frac{30 – 30}{30} \times 100\% = 0\%\]*Percentage Change of 0% indicates No Change:*Percentage change exhibits a multiplicative nature in its calculation. It reflects a change in relation to the initial value and highlights the relative growth or reduction in percentage terms. This multiplicative aspect aids in understanding the proportional impact of the change. As for illustration, an investment raises from $1,000 to $1,200. The percentage change is- \[ \frac{1200 – 1000}{1000} \times 100\% = 20\% \] If the same investment grows from $2,000 to $2,400, the percentage change is still 20%. This shows the multiplicative nature of percentage change.*Multiplicative Nature:*When dealing with multiple changes over different time periods, the percentage changes can be added to calculate the cumulative effect. This property facilitates the analysis of trends and the overall impact of sequential changes. In a sales scenario, if Quarter 1 sees a 10% increase, and Quarter 2 sees a 15% increase, the cumulative effect over both quarters is a 25% increase (10% + 15% = 25%).*Additive Nature of Percentage Changes:*Expressing changes in percentage terms provides a clear and concise way to communicate shifts in values. This makes it handy to a wider audience. Say, if a company’s market share increases from 15% to 18%, the percentage change is- \[\frac{18 – 15}{15} \times 100\% = 20\%\] This straightforward calculation allows for easy interpretation of the growth in market share.*Ease of Interpretation:*

While calculating percentage change manually is feasible, the introduction of percentage change calculator streamlines the process, saves time and minimizes errors.

**What is the Percentage Change Calculator?**

The Percentage Change Calculator is a tool designed to compute the percentage change between two values quickly and accurately. It is widely used in various fields- finance, economics, business, and statistics to analyze trends, assess growth or decline, and make informed decisions based on numerical fluctuations. With the advent of technology, this calculator provides a quick and accurate solution to complex calculations.

Here you will find a guideline of using the Percentage Change Calculator inherent in the article.

**Step-by-Step Guideline to Use Percentage Change Calculator**

Using a percentage change calculator is user-friendly and can be done in a few simple steps.

- Enter Old and New Values: Input the old value into the “Value V1” box. This is the primary or initial value.

- Place the new value into the “Value V2” box. This represents the current or final value.

- Click CALCULATE.

The result will be shown in the Answer Section.

Example:

“Value V1” is 100.

“Value V2” is 120.

Enter 100 in “Value V1”.

Enter 120 in “Value V2.”

Click the “CALCULATE” button.

The result will show a 20% increase signifying the growth from 100 to 120.

**Benefits of the Percentage Change Calculator**

- Error Reduction: Minimizes the likelihood of calculation errors inherent in manual computations.

- Time-Saving: Provides quick results, particularly valuable when dealing with large datasets.

- User-Friendly: Requires minimal mathematical expertise.

- Enhanced Analysis: Facilitates easy comparison and analysis of changes over different time periods.

**Percentage Change Calculator Excel **

Beyond the readymade Calculator, if you want to make a Percentage Change Calculator excel, just look at the picture below.

In the picture, you will find that the formula has been deployed in the cell C2.

To finish, the percentage change is an integral concept in various fields and offers insights into the dynamics of numerical fluctuations. With the advent of the percentage change calculator, the once intricate calculations have become accessible to all and empowered individuals to make informed decisions. Whether you are tracking stock prices, analyzing sales data, mastering the percentage change and embracing the calculator will undoubtedly enhance your analytical prowess.

### FAQ

### How do you calculate the percentage increase?

To calculate the percentage increase, subtract the original number from the new number, divide the result by the original number, and then multiply by 100%.

### How do you calculate the percentage decrease?

To calculate the percentage decrease, subtract the new number from the original number, divide the result by the original number, and then multiply by 100%.

### What does a positive percentage change indicate?

A positive percentage change indicates an increase in value over the period.

### What does a negative percentage change indicate?

A negative percentage change indicates a decrease in value over the period.

### Can percentage change be more than 100%?

Yes, percentage change can be more than 100% if the new value is more than double the original value.

### Is it possible to have a 0% change?

Yes, a 0% change indicates that there was no change in the value over the period.

### How do you convert a decimal to a percentage change?

To convert a decimal to a percentage change, multiply the decimal by 100 and add a percentage sign (%) at the end.