Alcohol by volume is the single most-asked-about number in home brewing, and it comes entirely from two hydrometer readings: original gravity and final gravity. This guide explains how the ABV formula works, why an alternate formula exists for stronger brews, what attenuation tells you about your yeast, and how brewers estimate the calories in a finished beer. If you're stocking drinks for an event rather than brewing them, our Drinks for a Party Calculator and Wine Bottle Calculator figure out quantities instead; for tracking consumption in your body rather than in the fermenter, see our Blood Alcohol (BAC) Calculator and Alcohol Units Calculator.
Why Two Gravity Readings Are Enough
Specific gravity measures dissolved sugar (and other solids) in your wort or must relative to water. Before fermentation, that sugar is almost entirely fermentable extract; after fermentation, most of it has been converted to alcohol and CO2, which lowers the density of the liquid. The drop in gravity from OG to FG is therefore a reliable proxy for how much sugar became alcohol, which is why the standard formula โ (OG โ FG) ร 131.25 โ only needs those two numbers to produce a usable ABV estimate.
Standard vs. Alternate Formula
The standard linear formula assumes a roughly constant relationship between gravity drop and alcohol produced. That assumption holds well for typical beers under about 1.070 OG, but it increasingly under-reports ABV as starting gravity climbs, because higher-alcohol fermentations produce proportionally more alcohol per gravity point consumed. The alternate (high-gravity) formula โ 76.08 ร (OG โ FG) / (1.775 โ OG) ร (FG / 0.794) โ corrects for this non-linearity and is the formula most homebrew software defaults to for barleywines, imperial stouts, and other big beers.
Reading Attenuation
Apparent attenuation โ (OG โ FG) / (OG โ 1) ร 100 โ tells you what fraction of the wort's extract fermented out. Most ale yeasts land between 72% and 80% apparent attenuation; some Belgian and saison strains push past 85-90%. A lower-than-expected attenuation usually signals an unfinished fermentation, an underpitched or stressed yeast, or a mash that produced too many unfermentable dextrins; a much higher-than-expected number can indicate a stuck hydrometer reading, a contamination issue, or the use of highly fermentable adjuncts like table sugar.
Estimating Calories
Homebrew calorie estimates commonly use the Real Extract method (M.L. Hall, "Brew By the Numbers," Zymurgy, Summer 1995), which converts OG and FG into degrees Plato, derives the real extract remaining in the beer, and combines it with the alcohol-by-weight percentage to estimate total calories per serving. This is an approximation โ it does not account for unfermentable adjuncts like lactose or maltodextrin added after the boil โ but it lines up closely with the calorie counts published by major commercial breweries for beers of similar OG, FG, and ABV.