Specific Gravity to Brix

Turn a specific gravity reading into °Brix for wine or beer.

How it is calculated

The tool evaluates a cubic polynomial fitted to sucrose-solution tables: °Bx = 182.4601·SG³ − 775.6821·SG² + 1262.7794·SG − 669.5622. SG is specific gravity, a plain number close to 1 (water is 1.000), and the answer is degrees Brix, roughly grams of sucrose per 100 g of solution, shown to two decimals. An SG of 1.000 gives 0.00. The accepted range is 0.980 to 1.200; anything outside it, such as 1050 or 0.97, shows no result. Values below 1.000 return a negative Brix (0.990 gives −2.62), which is normal for a fermented, alcoholic liquid but is not a true sugar reading. The polynomial is only meaningful for the gravities seen in brewing and winemaking.

Worked example

A wort reads SG 1.050. Cube it: 1.050³ = 1.157625, and 182.4601 × 1.157625 = 211.22. Square it: 1.050² = 1.1025, and 775.6821 × 1.1025 = 855.19. The linear term is 1262.7794 × 1.050 = 1325.92. Combine: 211.22 − 855.19 + 1325.92 − 669.56 gives about 12.39. The tool displays 12.39 °Brix, in line with an ordinary pale ale wort.

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Common mistakes

  • Typing the gravity as points (50) or with the decimal removed (1050). The field takes the decimal SG, such as 1.050, and values like 1050 or 50 show no result.
  • Entering a post-fermentation gravity and expecting a true Brix. Alcohol lowers density, so the converted figure no longer represents sugar, and below 1.000 it turns negative.
  • Entering a reading that is not corrected to the hydrometer's calibration temperature, which shifts SG and therefore Brix.
  • Comparing with a refractometer reading taken during fermentation, which also needs its own alcohol correction.
  • Dropping the third decimal. Near 1.050, each 0.001 of SG is worth about 0.23 °Brix (1.051 gives 12.62), so rounding 1.0505 to 1.05 moves the answer from 12.51 to 12.39.

About this calculator

Specific gravity (SG) and degrees Brix both measure dissolved sugar content in a liquid, but on different scales — SG compares the liquid's density to water (1.000), while Brix expresses sugar concentration as a percentage by weight (1°Brix ≈ 1 gram of sucrose per 100 grams of solution). Winemakers and brewers convert between them using polynomial formulas derived from sucrose solution tables, since most refractometers and some hydrometers read in Brix while fermentation tracking traditionally uses SG.

Brewers read gravity before and after fermentation to calculate alcohol content and confirm fermentation is complete, and winemakers use Brix readings at harvest to judge grape ripeness and predict final alcohol level, since yeast converts roughly 55% of sugar into alcohol by weight. Because a refractometer's Brix reading gets skewed once alcohol is present (alcohol lowers density differently than sugar does), this SG-to-Brix conversion is really only accurate before fermentation starts or after correcting for alcohol.

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