Fold to Percentage Calculator
Written by the percentages.co.uk team. Reviewed for accuracy.
This calculator converts fold change to percentage change and back. A 2× fold change means a value doubled, which is a 100% increase. A 0.5× fold change means it halved, which is a 50% decrease. Enter a fold change to find the percentage, or enter a percentage to find the fold change.
How it works
Fold change is a measure of how many times larger (or smaller) a final value is compared to an initial value. It is widely used in biology (gene expression, cell count, protein levels) and occasionally in finance. A fold change of 1× means no change. A fold change greater than 1× is an increase; less than 1× is a decrease.
The formula
% Change = (Fold change - 1) × 100
Fold change = 1 + (% Change / 100)
Quick reference
- 2× fold change = 100% increase
- 3× fold change = 200% increase
- 0.5× fold change = 50% decrease
- 0.25× fold change = 75% decrease
- 1.5× fold change = 50% increase
Why this works: Fold change measures the ratio of final to initial value. Subtracting 1 removes the baseline (the "1×" that represents no change) to leave the net change as a proportion. Multiplying by 100 converts it to a percentage.
Worked examples
A gene is expressed 4× more in treated cells than control cells. What percentage increase is that?
- % Change: (4 - 1) × 100 = 300%
Answer: 300% increase
A protein level drops to 0.25× of the control level. What is the percentage decrease?
- % Change: (0.25 - 1) × 100 = -75%
Answer: 75% decrease
A biomarker concentration increased by 250%. What is the fold change?
- Fold change: 1 + (250 / 100) = 3.5×
Answer: 3.5× fold change
A company's revenue increased by a 1.5× fold change. What percentage growth is that?
- % Change: (1.5 - 1) × 100 = 50%
Answer: 50% growth
A drug trial shows a 40% reduction in tumour size. What is the fold change?
- Fold change: 1 + (-40 / 100) = 0.6×
Answer: 0.6× fold change
When to use this
- Biology and genetics: RNA-seq and microarray data analysis reports gene expression changes as fold change. Converting to percentage helps communicate results to non-specialist audiences.
- Clinical and medical research: Clinical trials often report outcomes as fold changes in biomarker levels, which need to be expressed as percentages for patient-facing information.
- Microbiology: Bacterial or viral load changes are reported as fold changes when the changes span orders of magnitude, making percentages impractical.
- Financial analysis: Venture capital and private equity sometimes express portfolio company growth in fold multiples (2×, 3×, 10×), which need to be converted for comparison with percentage-based returns.
Understanding the result
A fold change of less than 1× always corresponds to a decrease, but the percentage decrease is not simply (1 - fold change) × 100. For example, a 0.5× fold change is a 50% decrease, not a -50 fold change (which would be meaningless). Always use the formula: % change = (fold change - 1) × 100.
Note that fold change is not symmetric. A 2× increase followed by a 0.5× decrease does not return to the original value if the fold changes refer to the same baseline. However, if applied sequentially, 2 × 0.5 = 1× (back to original). Context matters when interpreting a series of fold changes.
Related concepts
➡ To express the change between any two values as a standard percentage change (not fold change), use the percentage change calculator for the standard increase/decrease formula. ➡ For science data involving mole fractions and mixture composition, the mole percentage calculator builds a composition table for any mixture. ➡ To find what percentage recovery was achieved after a biological or chemical procedure, use the percent recovery calculator designed for laboratory procedures.
How to do this in Excel
Fold to %: =(A1-1)*100 | % to fold: =1+(A1/100)
Put fold change in A1 for the first formula, or percentage in A1 for the second formula.
How to do this without a calculator
Subtract 1 from the fold change and multiply by 100 to get the percentage. For whole-number fold changes: 2× = 100%, 3× = 200%, 4× = 300%. For fractions: 0.5× = -50%, 0.25× = -75%. To go from percentage back to fold change: divide by 100 and add 1.
Common mistakes
Thinking a 2× fold change is a 200% increase
A 2× fold change means the value doubled, which is a 100% increase (the value increased by one time itself). A 200% increase would be a 3× fold change (the value tripled).
Using fold change for very large or very small values
For changes spanning orders of magnitude (for example, a 1,000× increase in bacterial count), log fold change (log₂ or log₁₀) is more appropriate for visualisation and statistical analysis than linear fold change.
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