Percent Increase Calculator Calculators

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Percent increase (or percent change) is one of the most universally useful calculations in science, medicine, finance, and everyday life. It expresses how much a value has grown relative to its original value, as a percentage. Whether you're calculating how much a cell population grew, how much a protein concentration increased after treatment, how much a stock price rose, or how much a drug dose should be adjusted, the percent increase formula is the same. It is simple, intuitive, and essential for communicating proportional changes clearly.

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Percent Increase Formula

Percent Increase = ((New Value − Old Value) / Old Value) × 100%

Or equivalently:

% Change = (Change / Original) × 100%

If the result is positive, the value increased. If negative, it decreased (percent decrease).

Worked Examples

Cell Population Growth

Cell count grew from 2.0 × 10⁶ to 5.5 × 10⁶ cells:
% Increase = ((5.5 − 2.0) / 2.0) × 100% = (3.5 / 2.0) × 100% = 175% increase

Drug Concentration

Blood glucose dropped from 180 mg/dL to 120 mg/dL after treatment:
% Change = ((120 − 180) / 180) × 100% = −33.3% → 33.3% decrease

Stock Price

Share price rose from $45 to $63:
% Increase = ((63 − 45) / 45) × 100% = (18/45) × 100% = 40%

Percent Increase vs. Fold Change

Fold change = New Value / Old Value. It is closely related to percent increase:

  • Fold change of 2.0 = 100% increase (doubled)
  • Fold change of 1.5 = 50% increase
  • Fold change of 0.5 = 50% decrease (or −50% change)

Fold change is preferred in gene expression analysis (where 2-fold upregulation is standard notation); percent increase is more intuitive for general audiences.

Successive Percent Changes

Successive percent changes do not simply add. A 20% increase followed by a 20% decrease does NOT return to the original value:

100 × 1.20 × 0.80 = 96 — a net 4% decrease.

The correct calculation: net change = (1 + increase) × (1 − decrease) − 1.

Glossary

Percent Increase
The proportional growth of a value relative to its original, expressed as a percentage: % increase = ((New − Old)/Old) × 100%. Positive values indicate growth; negative values indicate decrease.
Fold Change
The ratio of a final value to an initial value: Fold change = New/Old. A fold change of 2 = 100% increase (doubled); 0.5 = 50% decrease. Standard notation in gene expression analysis.
Percent Change
A general term for the relative change in a value: (New − Old)/Old × 100%. Includes both increases (positive) and decreases (negative). Identical in formula to percent increase; the sign distinguishes direction.

Frequently Asked Questions

Percent Increase = ((New Value − Old Value) / Old Value) × 100%. Divide the change (new minus old) by the original value, then multiply by 100 to convert to a percentage. If the result is positive, the value increased; if negative, it decreased. For example, an increase from 50 to 75: ((75−50)/50) × 100% = 50% increase.

Fold change = New/Old. Percent increase = (New−Old)/Old × 100% = (Fold change − 1) × 100%. A fold change of 3 means 200% increase; fold change of 0.25 means 75% decrease. Fold change is used in gene expression analysis (e.g., 2-fold upregulation); percent increase is more intuitive for general communication. Both describe the same proportional change, just expressed differently.

No. Successive percent changes must be multiplied, not added. A 20% increase followed by a 20% decrease: 100 × 1.20 × 0.80 = 96 — a net 4% decrease, not zero. A 50% increase followed by a 50% decrease: 100 × 1.50 × 0.50 = 75 — a net 25% decrease. Each percentage is calculated from the previous (not the original) value.

Use the same percent change formula: % Change = ((New − Old)/Old) × 100%. When New < Old, the result is negative, indicating a decrease. The magnitude is the percent decrease. For example, a drop from 200 to 150: ((150−200)/200) × 100% = −25% → a 25% decrease. Some people prefer to state this explicitly as '25% decrease' rather than '−25% change.'