How to Calculate Percent Growth Rate

Percent Growth Rate Calculator .pgr-calculator-wrapper { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; max-width: 800px; margin: 0 auto; padding: 20px; background: #f9f9f9; border: 1px solid #e0e0e0; border-radius: 8px; } .pgr-calculator-wrapper h2 { color: #2c3e50; margin-top: 0; text-align: center; } .pgr-input-group { margin-bottom: 20px; display: flex; flex-direction: column; } .pgr-input-group label { font-weight: 600; margin-bottom: 8px; color: #34495e; } .pgr-input-group input { padding: 12px; border: 1px solid #bdc3c7; border-radius: 4px; font-size: 16px; transition: border-color 0.3s; } .pgr-input-group input:focus { border-color: #3498db; outline: none; } .pgr-row { display: flex; gap: 20px; flex-wrap: wrap; } .pgr-col { flex: 1; min-width: 250px; } .pgr-btn { width: 100%; padding: 15px; background-color: #27ae60; color: white; border: none; border-radius: 4px; font-size: 18px; font-weight: bold; cursor: pointer; transition: background-color 0.3s; } .pgr-btn:hover { background-color: #219150; } .pgr-results { margin-top: 25px; background: #fff; padding: 20px; border-radius: 4px; border-left: 5px solid #27ae60; box-shadow: 0 2px 5px rgba(0,0,0,0.05); display: none; } .pgr-result-item { margin-bottom: 15px; border-bottom: 1px solid #eee; padding-bottom: 10px; display: flex; justify-content: space-between; align-items: center; } .pgr-result-item:last-child { border-bottom: none; margin-bottom: 0; padding-bottom: 0; } .pgr-result-label { color: #7f8c8d; font-size: 15px; } .pgr-result-value { font-weight: bold; font-size: 20px; color: #2c3e50; } .pgr-result-value.positive { color: #27ae60; } .pgr-result-value.negative { color: #c0392b; } .pgr-content-section { margin-top: 40px; line-height: 1.6; color: #444; } .pgr-content-section h3 { color: #2c3e50; border-bottom: 2px solid #ecf0f1; padding-bottom: 10px; margin-top: 30px; } .pgr-formula-box { background: #e8f6f3; padding: 15px; border-radius: 4px; font-family: monospace; text-align: center; margin: 20px 0; font-size: 1.1em; border: 1px solid #a3e4d7; } .error-msg { color: #c0392b; font-size: 14px; margin-top: 5px; display: none; } @media (max-width: 600px) { .pgr-row { flex-direction: column; gap: 0; } }

Percent Growth Rate Calculator

Enter this to calculate the Compound Annual Growth Rate (CAGR) or average periodic rate.
Please enter valid numeric values for Initial and Final amounts. Initial value cannot be zero.
Total Percentage Growth 0.00%
Absolute Change (Difference) 0
Compound Growth Rate (CAGR) 0.00%
Result Interpretation No change

How to Calculate Percent Growth Rate

Calculating the percentage growth rate is a fundamental skill in finance, business analytics, and even tracking personal goals like weight loss or savings. It measures how much a value has increased (or decreased) over a specific period relative to its starting point.

The Growth Rate Formula

The standard formula for calculating the percentage growth between two numbers is straightforward:

Growth Rate (%) = ((Final Value – Initial Value) / Initial Value) × 100

Where:

  • Initial Value: The starting number (e.g., revenue last year, population in 2020).
  • Final Value: The ending number (e.g., revenue this year, population in 2024).

Step-by-Step Calculation Example

Let's say a small business had $150,000 in sales in 2023 (Initial Value) and $185,000 in sales in 2024 (Final Value).

  1. Find the absolute change: $185,000 – $150,000 = $35,000.
  2. Divide by the initial value: $35,000 / $150,000 = 0.2333…
  3. Convert to percentage: 0.2333 × 100 = 23.33%.

This means the business experienced a 23.33% growth in sales.

Compound Annual Growth Rate (CAGR)

If you are measuring growth over multiple periods (like 5 years), a simple percentage change doesn't tell the whole story. You need the Compound Annual Growth Rate (CAGR) to smooth out the volatility and show the steady annual rate.

CAGR = ((Final Value / Initial Value)^(1 / n)) – 1

Where n is the number of time periods. Our calculator above automatically computes this if you enter the number of periods.

Interpreting Negative Growth

A negative result indicates a decrease or decay. For example, if a stock price drops from $50 to $40, the calculation is ((40 - 50) / 50) * 100 = -20%. This is often referred to as negative growth or contraction.

function calculatePercentGrowth() { // 1. Get Elements var initialInput = document.getElementById('pgrInitialValue'); var finalInput = document.getElementById('pgrFinalValue'); var periodsInput = document.getElementById('pgrPeriods'); var errorMsg = document.getElementById('pgrError'); var resultsDiv = document.getElementById('pgrResults'); // Output Elements var totalPercentEl = document.getElementById('pgrTotalPercent'); var absoluteChangeEl = document.getElementById('pgrAbsoluteChange'); var cagrEl = document.getElementById('pgrCagr'); var cagrRow = document.getElementById('pgrCagrRow'); var textResultEl = document.getElementById('pgrTextResult'); // 2. Parse Values var initialVal = parseFloat(initialInput.value); var finalVal = parseFloat(finalInput.value); var periodsVal = parseFloat(periodsInput.value); // 3. Validation if (isNaN(initialVal) || isNaN(finalVal)) { errorMsg.style.display = 'block'; resultsDiv.style.display = 'none'; return; } if (initialVal === 0) { errorMsg.innerHTML = "Initial value cannot be zero (mathematical infinity)."; errorMsg.style.display = 'block'; resultsDiv.style.display = 'none'; return; } errorMsg.style.display = 'none'; resultsDiv.style.display = 'block'; // 4. Calculate Simple Growth var difference = finalVal – initialVal; var percentGrowth = (difference / initialVal) * 100; // 5. Update Simple Growth UI absoluteChangeEl.innerText = difference.toFixed(2); totalPercentEl.innerText = percentGrowth.toFixed(2) + "%"; // Styling for positive/negative if (difference > 0) { totalPercentEl.className = "pgr-result-value positive"; absoluteChangeEl.className = "pgr-result-value positive"; textResultEl.innerText = "Increase"; } else if (difference 0) { cagrRow.style.display = 'flex'; // CAGR requires Start and End to have same sign (usually positive for growth) // If values cross from negative to positive, CAGR is complex/undefined in standard formula if (initialVal > 0 && finalVal >= 0) { var cagr = (Math.pow(finalVal / initialVal, 1 / periodsVal) – 1) * 100; cagrEl.innerText = cagr.toFixed(2) + "%"; if (cagr > 0) cagrEl.className = "pgr-result-value positive"; else if (cagr < 0) cagrEl.className = "pgr-result-value negative"; else cagrEl.className = "pgr-result-value"; } else { cagrEl.innerText = "N/A (Requires positive values)"; cagrEl.className = "pgr-result-value"; } } else { cagrRow.style.display = 'none'; } }

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