How to calculate percentage change?

How to calculate percentage change

Understanding how to calculate percentage change can be challenging, especially in finance and business. This concept simplifies how we see whether values, like revenue or stock prices, are rising or falling.

In this blog, we’ll explain how to calculate percentage change, its practical applications, and how it can help you interpret trends with clarity.

What is Percentage Change?

Percentage change measures the extent to which a value has increased or decreased relative to its initial value, making it a vital tool in finance and business.

It is commonly used to analyze the performance of stocks, bonds, and market indexes, or to compare a company’s current results with past achievements.

The formula for percentage change is sligtly different depending on wether you’r calculating increase or decrease.

How Percentage Change Work?

Percentage changes help track variations in measurable quantities over time, making them invaluable in finance and business.

In finance, they are used to monitor market indexes, individual stocks, and currency values. Businesses frequently use percentage changes to highlight metrics like year-over-year revenue growth in their reports.

For instance, a company may explain significant changes, such as how Starbucks reported a 38% revenue drop in Q3 2020 compared to 2019, attributing it to the effects of COVID-19.

Over time, as recovery occurred, positive percentage changes reflected their financial rebound, showcasing how this metric narrates trends and performance shifts.

How To Calculate Percentage Change?

To calculate percentage change, you can use a straightforward formula tailored to determine either an increase or a decrease:

Percentage Increase:

  1. Find the difference between the new and original values:
    Increase = New Value − Original Value
  2. Divide the increase by the original value:
    Percentage Increase = (Increase ÷ Original Value) × 100

Percentage Decrease:

  1. Find the difference between the original and new values:
    Decrease = Original Value − New Value
  2. Divide the decrease by the original value:
    Percentage Decrease = (Decrease ÷ Original Value) × 100

Example of Percentage Increase:

If a stock price rises from ₹35 to ₹45.50:

  1. Find the increase: ₹45.50 − ₹35 = ₹10.50
  2. Divide by the original price: ₹10.50 ÷ ₹35 = 0.3
  3. Multiply by 100 to convert to percentage: 0.3 × 100 = 30%
    This means the stock increased by 30%.

This simple formula applies across various contexts, offering a clear way to quantify changes.

Uses of Percentage Change

Percentage change is a versatile tool used across finance, business, and economics to gain insights and make informed decisions. Here are some of its key applications:

  1. Measuring Investment Performance:
    Investors calculate percentage changes to determine the return on investment (ROI) for assets like stocks, bonds, or mutual funds. This helps compare the performance of various investments over time and assess profitability.
  2. Portfolio Evaluation:
    By computing the percentage change of a portfolio’s total value or individual assets, investors can determine whether their current investment strategy is meeting their goals or if adjustments are necessary, such as rebalancing.
  3. Identifying Market Trends:
    Analyzing percentage changes in stock prices, commodities, or other financial instruments reveals market trends and volatility, aiding in spotting potential opportunities or risks.
  4. Benchmark Comparisons:
    Comparing the percentage changes of investments against benchmarks, such as stock indexes, helps investors evaluate whether their portfolio is outperforming or underperforming the market.
  5. Risk Management:
    Percentage change is instrumental in setting stop-loss orders, which automatically sell an asset if its value declines by a specific percentage, minimizing potential losses.

Is the Percentage Difference the Same as the Percentage Change?

No, percentage difference and percentage change are not the same. Percentage change uses one value as the reference point to calculate how much it has increased or decreased compared to the other. In contrast, percentage difference uses the average of the two values as the reference, focusing on the relative gap between them.

Additionally, percentage change can be either positive or negative, reflecting the direction of change, while percentage difference is always positive, as it measures only the magnitude of the variation without considering direction.

What is a Balance Sheet, and How does it relate to Percentage Changes?

A balance sheet is a financial statement summarizing a company’s assets, liabilities, and shareholder equity at a specific point in time, such as a quarter or a fiscal year.

It offers a clear snapshot of the company’s financial health.

Percentage changes play a key role in balance sheet analysis, helping companies track trends over time.

For example, analyzing the percentage change in cash balances across periods can reveal insights into liquidity, while changes in other accounts highlight shifts in financial strategy or performance.

How Percentage Change Use in Finance?

In finance, percentage change is a key metric for analyzing growth and performance. Investors use it to track how the value of a security has increased or decreased over time, often comparing it against the performance of relevant indexes. It is also employed to assess fluctuations in currency values and the appreciation of physical assets like real estate.

This calculation provides a clear, comparative view of financial growth and market trends, making it indispensable for evaluating investments and business progress.

Final Thoughts

Percentage change is a versatile concept widely used in business and finance. It helps businesses track performance over time and enables investors to compare the growth or decline of their investments with similar options. Understanding how percentage change works can provide valuable insights for making informed financial and business decisions.

FAQs

To calculate percentage change, use these formulas:

  • Percentage Increase: Subtract the original value from the new value, then divide by the original value and multiply by 100.
    Percentage Increase=((New Value−Original Value) ÷ Original Value)×100
  • Percentage Decrease: Subtract the new value from the original value, divide by the original value, and multiply by 100.
    Percentage Decrease=((Original Value−New Value) ÷ Original Value)×100

Yes, you can! Use this formula: (Final Percentage – Initial Percentage) ÷ | Initial Percentage | × 100

This helps determine how much one percentage has increased or decreased relative to another.

To calculate the percentage increase, subtract the original number from the new number to find the difference. Then, divide this difference by the original number. Finally, multiply the result by 100 to get the percentage increase.

When 25 is increased to 45, the percent change can be calculated by first finding the difference between the two values, which is 45 − 25 = 20.

Next, divide this difference by the original value, 20 ÷ 25 = 0.8.

Finally, multiply the result by 100 to convert it into a percentage, 0.8×100=80%. Therefore, the percent change is 80%.

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