ABV Calculator
Two formulas that diverge above about 7%.
Work out ABV. Two formulas that diverge above about 7%. Every rate is an input, not an assertion.
10 g in the UK and much of Europe, 14 g in the US, 10 g in Australia
Alcohol by volume
5.25%
80% apparent attenuation · 82.8 standard drinks in the batch
At ordinary gravities the two formulas agree closely. They diverge above about 7% ABV, where the simple (OG − FG) × 131.25 form starts to drift — worth switching to the high-gravity version for anything strong. Apparent attenuation uses the hydrometer reading, which alcohol makes read low, so the true figure is a few points lower.
How the ABV Calculator works
Alcohol by volume from original and final gravity, with attenuation, calories and standard drinks. Two formulas are in circulation and they diverge as gravity rises, so both are shown.
Also known as: original gravity to abv · homebrew alcohol percentage calculator · how strong is my beer · attenuation from hydrometer readings
Two formulas and where they part company
The simple form, (OG − FG) × 131.25, is a linear approximation fitted to ordinary beer gravities. At 1.050 down to 1.010 it gives 5.25% and it is accurate enough to use without thought.
It drifts as gravity rises, because the relationship between sugar consumed and alcohol produced is not quite linear. Above about 7% ABV the alternative form, which corrects for that curvature, reads noticeably higher — by more than half a percent at 1.090.
Neither is exact, and both are estimates from density readings rather than measurements of alcohol. Which matters practically is that the two disagree, so quoting which formula produced a number is what makes it comparable with someone else's.
Apparent attenuation and why the hydrometer lies
A hydrometer measures density, and alcohol is less dense than water. So a fermented liquid reads lower than its sugar content alone would suggest, and the attenuation calculated from those readings is called apparent for that reason.
Real attenuation corrects for the alcohol and comes out a few percentage points lower. Recipes and yeast datasheets almost always quote apparent attenuation, so comparing a measured real figure against a published apparent one produces a false discrepancy.
A refractometer has the opposite problem: alcohol changes refractive index, so post-fermentation readings need their own correction and disagree with a hydrometer without it. Both instruments are fine; using either without knowing its bias is not.
Standard drinks, which are not standard
A standard drink is a fixed mass of pure alcohol, and countries define the mass differently — 10 g in the UK and Australia, 14 g in the US, 12 g in parts of Europe. The same bottle is a different number of units depending on where you are standing.
Which is why the mass is an input here rather than a constant. A calculator that assumed one country's definition would silently mislead everyone else, and the differences are large — a US standard drink is 40% more alcohol than a UK unit.
The calorie figure comes mostly from alcohol at about 7 kcal per gram, with residual sugar contributing the rest. A drier beer at the same ABV has fewer calories than a sweet one, though alcohol dominates the total either way.
Where to go next
The ABV question rarely arrives on its own. These are the ones that usually come with it:
- Cocktail Dilution Calculator — Dilution is an ingredient, not a side effect.
- Tea Steeping Calculator — Boiling water is what ruins green tea.
- Party Food Calculator — A four-hour party is not twice a two-hour one.
- Speed Distance Time Calculator — Any one of the three from the other two, in four units.
Frequently asked questions
How do I calculate ABV from gravity?
The simple form is (OG − FG) × 131.25. At 1.050 down to 1.010 that is 5.25%. It is a linear approximation and it drifts as gravity rises.
Which ABV formula should I use?
The simple one below about 7% ABV, where the two agree closely. Above that, the high-gravity form corrects the drift — and quoting which one you used matters when comparing numbers with someone else.
What is apparent attenuation?
The percentage of the original sugar the yeast consumed, calculated from hydrometer readings. It is called apparent because alcohol is less dense than water, so the hydrometer reads low and the true figure is a few points lower.
Why is my final gravity stuck?
Common causes are a fermentation temperature that dropped, a yeast strain at its alcohol tolerance, or unfermentable sugars from a high mash temperature. Rousing the yeast and warming the vessel fixes most stalls.
How many calories are in homebrew?
Mostly from alcohol at about 7 kcal per gram, plus residual sugar. A drier beer at the same ABV has fewer calories than a sweet one, though alcohol dominates either way.
What is a standard drink?
A fixed mass of pure alcohol, and the mass differs by country — 10 g in the UK and Australia, 14 g in the US. That is why the same bottle is a different number of units depending on where you are.
How do I use a hydrometer?
Float it in a sample at the calibration temperature, usually 20 °C, and read at the bottom of the meniscus. Temperature correction matters — a warm sample reads low.
What is a refractometer and why does it disagree?
It measures refractive index from a couple of drops, which is convenient. Alcohol changes refraction, so post-fermentation readings need a correction formula and disagree with a hydrometer without it.
What causes a stuck fermentation?
Temperature dropping out of the yeast's range, alcohol tolerance being reached, or unfermentable sugars from a high mash temperature. Rousing the yeast and warming the vessel fixes most stalls.
What is real versus apparent attenuation?
Apparent uses the hydrometer figure, which alcohol makes read low. Real attenuation corrects for that and is a few percentage points lower — recipes almost always quote apparent.
Does bottle conditioning change ABV?
Slightly, by perhaps 0.2 to 0.5% as the priming sugar ferments. It is usually within the measurement error of the original reading.
Is homebrewing legal?
For personal consumption in most countries, up to a volume limit, with distillation treated very differently from brewing. Selling it is regulated everywhere — check your own jurisdiction.
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