Percentage Change Calculator

Percentage Change & Relative Variance Calculator

Compute directional percent increase/decrease, symmetric relative difference, experimental error, and chained compound shifts

Standard Change Presets

Initial Value (V₁ / Old) Base baseline reference

Final Value (V₂ / New) Resulting target quantity

Calculated Percentage Change

+25.00%

Net Increase (Gain)

Absolute Shift: +25.000 (1.250× Multiple)

Absolute Difference (ΔV = V₂ – V₁) +25.000 Scalar displacement

Growth Ratio (Multiplier) 1.250× V₂ = V₁ × 1.250

Reversal Change Required -20.00% From $125 back to $100

Fractional Expansion +1/4 Exact simplified rational share

Comparison Formulation

First Value (A) First peer measurement

Second Value (B) Second peer measurement

Relative Percentage Difference

16.22%

Moderate Variance

Average Midpoint: 92.500 • Absolute Spread: 15.000

Midpoint Mean Base [(A + B) / 2] 92.500 Symmetric normalization denominator

Absolute Discrepancy (|A – B|) 15.000 Unsigned distance between values

Directional Change (A → B) +17.65% Asymmetry vs. B → A (-15.00%)

Accuracy / Concordance Index 83.78% 100% – Variance margin

Initial Base Amount Starting principal or initial index value

Sequential Percentage Shifts

Shift 1 (%) e.g., +20% year 1

Shift 2 (%) e.g., -20% year 2

Shift 3 (%) e.g., +10% year 3

Net Effective Cumulative Change

-4.40%

Net Overall Contraction

Final Value: 956.000 (Started at 1,000.000)

Final Resulting Value 956.000 Net change: -44.000

Cumulative Multiplier 0.9560× 1.20 × 0.80 × 1.10 product

Arithmetic Sum (Naive Addition) +10.00% 14.40% fallacious gap

Geometric Average Rate / Step -1.49% Equivalent uniform compound step