ABV Calculator
Alcohol by volume from your original and final gravity readings.
Alcohol by Volume (standard formula)
How to Use This ABV Calculator
Take a hydrometer or refractometer reading before you pitch your yeast. That is your original gravity. Take a second reading after fermentation stops changing, usually three identical readings over three days. That is your final gravity. Enter both numbers above and the calculator returns your ABV, apparent attenuation, and a calorie estimate. The math uses the standard homebrew shortcut, plus the more accurate alternate formula for stronger brews.
Measure OG before pitching yeast. Cool the sample to your hydrometer's calibration temperature, usually 60F or 68F, or apply a temperature correction.
Measure FG after fermentation finishes and the reading is stable across three days. Enter both values as decimals, like 1.052.
Hit Calculate ABV. Read the standard ABV, the alternate formula result for brews over 6%, the apparent attenuation, and the estimated calories per 12 oz.
Sanity check the numbers. Most beers land between 3 and 8% ABV with 65 to 80% attenuation. Anything outside that deserves a second look at the readings.
The ABV Formula and Method
Yeast turns sugar into ethanol and carbon dioxide. Dissolved sugar is denser than water, while ethanol is lighter, so the liquid gets less dense as fermentation runs. The multiplier 131.25 comes from the chemistry linking a gravity drop to ethanol produced, and homebrewers have used it for decades because it lands within a tenth or two of lab results for ordinary beers. The alternate formula derives from Balling's extract relationships and tracks better when gravity swings are large, which is why the calculator shows both once you pass roughly 6% ABV.
Worked Example
A pale ale starts at OG 1.052 and finishes at FG 1.012. Standard ABV = (1.052 - 1.012) x 131.25 = 0.040 x 131.25 = 5.25%. Apparent attenuation = 0.040 / 0.052 x 100 = 76.9%, right in the normal ale range. The alternate formula gives about 5.3%, close enough that either answer is fine for this beer. Estimated calories per 12 oz come out near 150, which matches what commercial 5% beers report.
Practical Tips for Accurate Readings
Spin the hydrometer to shake off clinging bubbles, because CO2 bubbles lift it and inflate the reading. Read at eye level, at the bottom of the meniscus, and write the number down immediately; memory is not a lab notebook. Degassing the sample by pouring it back and forth a few times removes dissolved CO2 that skews FG high. If you use a refractometer, remember it needs a correction formula after fermentation starts, since alcohol bends light differently than sugar water. And never return a tasted sample to the fermenter. That is how infections start.
ABV, Attenuation, and What the Numbers Mean
ABV tells you strength. Attenuation tells you character. A 1.060 beer finishing at 1.015 is 5.9% ABV with 75% attenuation: balanced. The same beer finishing at 1.022 is 5.0% with 62%: sweeter and fuller, possibly under-attenuated. Low attenuation with a healthy pitch often points to a wort full of unfermentable dextrins from a hot mash, not a failed fermentation. Compare your attenuation against the yeast strain's published range before diagnosing a problem. That range is printed on every yeast package and on the maker's site for a reason.
Second worked example: a homebrew IPA
Your IPA starts at 1.065 original gravity and finishes at 1.012. Subtract: 1.065 minus 1.012 is 0.053. Multiply by 131.25: 6.96 percent, call it 7.0 percent ABV. A 12-ounce pour at 7 percent carries about 200 calories, roughly 50 more than a 5 percent lager, because alcohol itself has 7 calories per gram. If the same beer had stalled at 1.020, the ABV would be 5.9 percent and the leftover sweetness would be obvious in the glass. The two hydrometer readings tell you strength, dryness, and whether fermentation actually finished.
Attenuation tells you what ABV cannot
Apparent attenuation is the percentage of sugars the yeast ate: (OG minus FG) divided by (OG minus 1), times 100. For the IPA above, (65 minus 12) divided by 65 is 81.5 percent, a healthy dry finish for an ale yeast. Below 70 percent with no recipe reason, suspect a stalled fermentation or an under-pitch. Above 85 percent, expect a thin body and possible over-attenuation from wild yeast or bacteria. Two beers can share 6 percent ABV with completely different characters: one finishing at 1.018 is malty and round, one at 1.008 is crisp and dry. ABV is the headline; attenuation is the story.
Reading mistakes that skew the number
Reading the hydrometer at the wrong temperature is the classic: hydrometers are calibrated at 60Β°F, and warm wort reads low. Cool the sample or apply the temperature correction. Reading through foam gives a false high; spin the hydrometer to shed bubbles and read the bottom of the meniscus. Forgetting the alcohol correction on a refractometer is the modern trap: refractometers read high once alcohol is present, and you need the correction formula or the FG looks impossibly sweet. And sampling too early: three identical readings over three days means done. One reading means guessing.
ABW vs ABV: Two Ways to State Strength
American drinkers over a certain age remember "3.2 beer," and the number confused everyone because it was not ABV. It was ABW: alcohol by weight. Because ethanol is lighter than water, the same beer measures lower by weight than by volume. The conversion is simple: ABW = ABV x 0.789, the density of ethanol relative to water. So a 5.0% ABV lager is about 3.95% ABW, and that old 3.2% ABW beer was roughly 4.05% ABV all along. Same beer, two numbers.
The distinction still matters. Some US states write their alcohol laws in ABW, and a label that says 3.2% in one of those states is describing a normal-strength beer, not a weak one. Homebrew competitions and BJCP guidelines use ABV exclusively, so if you are entering a beer, convert before you fill out the form. When a recipe or a law gives you a percentage without saying which, assume ABV for anything written after about 1990 and check the source for anything older.
What One Gravity Point Means for Your Recipe
Recipe tweaks get less scary once you know the exchange rate: one gravity point (0.001 of specific gravity) fermented out is worth about 0.13% ABV. So if your IPA lands at 1.012 instead of the target 1.010, you left two points unfermented and the beer is roughly a quarter point weaker than planned. That is inside normal batch variation, and it is why experienced brewers shrug at small misses.
The same math works in reverse when designing. Want to bump a 5.5% pale ale to 6.0%? You need about four more points of fermentable gravity, which is roughly an extra half pound of base malt in a 5-gallon batch (a pound of 2-row in 5 gallons adds about 7-8 points, so half a pound adds 3-4). Check the new OG against your yeast's alcohol tolerance before you commit; most ale yeasts handle 6% without blinking, but pushing a delicate strain past its comfort zone is how you get stalled fermentations and off flavors.
ABW vs ABV: Two Ways to State Strength
American drinkers over a certain age remember "3.2 beer," and the number confused everyone because it was not ABV. It was ABW: alcohol by weight. Because ethanol is lighter than water, the same beer measures lower by weight than by volume. The conversion is simple: ABW = ABV x 0.789, the density of ethanol relative to water. So a 5.0% ABV lager is about 3.95% ABW, and that old 3.2% ABW beer was roughly 4.05% ABV all along. Same beer, two numbers.
The distinction still matters. Some US states write their alcohol laws in ABW, and a label that says 3.2% in one of those states is describing a normal-strength beer, not a weak one. Homebrew competitions and BJCP guidelines use ABV exclusively, so if you are entering a beer, convert before you fill out the form. When a recipe or a law gives you a percentage without saying which, assume ABV for anything written after about 1990 and check the source for anything older.
What One Gravity Point Means for Your Recipe
Recipe tweaks get less scary once you know the exchange rate: one gravity point (0.001 of specific gravity) fermented out is worth about 0.13% ABV. So if your IPA lands at 1.012 instead of the target 1.010, you left two points unfermented and the beer is roughly a quarter point weaker than planned. That is inside normal batch variation, and it is why experienced brewers shrug at small misses.
The same math works in reverse when designing. Want to bump a 5.5% pale ale to 6.0%? You need about four more points of fermentable gravity, which is roughly an extra half pound of base malt in a 5-gallon batch (a pound of 2-row in 5 gallons adds about 7-8 points, so half a pound adds 3-4). Check the new OG against your yeast's alcohol tolerance before you commit; most ale yeasts handle 6% without blinking, but pushing a delicate strain past its comfort zone is how you get stalled fermentations and off flavors.
Frequently Asked Questions
How do you calculate ABV from OG and FG?
Subtract the final gravity from the original gravity and multiply by 131.25. An OG of 1.050 and an FG of 1.010 gives (1.050 - 1.010) x 131.25 = 5.25% ABV. This is the standard homebrew shortcut and it stays accurate for most beers under about 6% ABV.
What are original gravity and final gravity?
Original gravity (OG) is the density of your wort or must before fermentation, measured with a hydrometer or refractometer. Final gravity (FG) is the density after the yeast finishes. Sugar is denser than water and alcohol is lighter, so the drop between the two readings shows how much sugar turned into alcohol.
What is apparent attenuation?
Apparent attenuation is the percentage of sugars the yeast consumed, calculated as (OG - FG) / (OG - 1) x 100. Most ale yeasts land between 70 and 80%. A higher number means a drier, thinner finish; a lower number means more residual sweetness and body.
Is the 131.25 formula accurate for wine and mead?
It is a solid estimate up to about 10% ABV, though it reads slightly low for strong wines and meads. Above 6% ABV the alternate Balling-derived formula is more accurate. For casual home winemaking the simple formula is what almost everyone uses.
What is a good attenuation for my yeast?
Typical ale strains attenuate 70 to 80%, lagers 65 to 75%, and saison or Belgian strains 80 to 95%. If your attenuation is far below the strain's range, fermentation may be stuck. Check the yeast maker's published range before worrying.
Do I need to correct hydrometer readings for temperature?
Yes, if your sample is far from the hydrometer's calibration temperature, usually 60F or 68F. Hot wort reads low, cold samples read high. Either cool the sample to calibration temperature or apply a temperature correction chart value before entering numbers here.
Can I use a refractometer after fermentation starts?
Only with a correction formula. Alcohol throws off refractometer readings once fermentation begins, so a raw post-fermentation Brix reading will understate the real gravity. Use an online refractometer correction or take FG with a hydrometer instead.
What OG should I target for my beer style?
Session beers sit around 1.035 to 1.045, standard ales 1.045 to 1.060, IPAs 1.060 to 1.075, and big stouts or barleywines 1.080 to 1.120. Wine musts usually start at 1.080 to 1.100. Your recipe or kit instructions give the exact target.
Why did my final gravity stop too high?
Common causes are under-pitching yeast, fermenting too cold, poor aeration of the wort, or a wort heavy in unfermentable sugars. Warm the fermenter a few degrees and gently swirl it to rouse the yeast. If the gravity holds steady for three days, it is done.
What is the difference between ABV and ABW?
ABV is alcohol by volume and ABW is alcohol by weight. Because alcohol is lighter than water, ABW is always lower: ABW = ABV x 0.793. US labels use ABV, which is what this calculator reports.