Calculate compound annual growth rate (CAGR), multi-year percentage increase, and annualized gains across financial and business metrics.
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A yearly percentage increase calculator determines the smoothed annual rate at which a baseline quantity has grown over multiple years. It computes both the true Compound Annual Growth Rate (CAGR), which accounts for exponential compounding, and the simple arithmetic average annual percentage change.
\text{CAGR} = \left[\left(\frac{V_{\text{final}}}{V_{\text{initial}}}\right)^{\frac{1}{n}} - 1\right] \times 100Where V_initial is starting value, V_final is ending value, and n is number of elapsed years. This geometric mean provides the steady annual return required to grow from start to finish.
Scenario: A company investment portfolio grows from $50,000 to $105,000 over a 5-year investment period.
Total multiple: $105,000 ÷ $50,000 = 2.10 (110% total growth).
Annual exponent: 1 ÷ 5 = 0.20.
CAGR calculation: (2.10^0.20 - 1) × 100 = (1.15998 - 1) × 100 = 16.00% per year.
Simple average comparison: 110% ÷ 5 = 22.0% per year.
Simple average takes the total percentage gain and divides by the number of years, ignoring compounding. CAGR recognizes that gains earn additional returns each subsequent year. Because of compounding, CAGR is always lower than or equal to simple average for positive growth.
Input your starting salary, current salary, and the number of years worked. The CAGR represents your true compound annual salary raise rate.
If your ending value is less than your beginning value, CAGR will compute a negative annual percentage rate representing compound annual depreciation or loss.
CAGR eliminates volatility noise across intermediate years and gives a single standardized annual return metric that can be directly compared across different asset classes and time horizons.
Calculate the percentage increase or decrease between two values, along with absolute difference and growth multipliers.
Measure business growth rates, multiple factors, and forecast next period performance between any two data points.
Calculate investment growth over time with compound interest, regular monthly deposits, custom compounding schedules, and visual breakdowns.
Total Multi-Year Gain: 75% (+$7,500)