Dough Math

Starter hydration maths: splitting a starter into flour and water

Hydration is the weight of water divided by the weight of flour. A 100 % starter holds equal weights of both; an 80 % starter holds 80 g of water for every 100 g of flour.

From the starter's weight M and its hydration h (as a fraction, so 80 % is 0.8): flour = M ÷ (1 + h), and water = M − flour. For 180 g of starter at 80 %, flour = 180 ÷ 1.8 = 100 g and water = 80 g.

To raise the hydration, keep the flour and add water: water to add = flour × (target − current). Taking that 180 g starter from 80 % to 125 % needs 100 × (1.25 − 0.80) = 45 g of water, which gives 225 g of starter. To lower the hydration, keep the water and add flour: flour to add = water ÷ target − flour.

The same split is what makes discard usable in any recipe: 100 g of discard at 100 % brings 50 g of flour and 50 g of water, so that much flour and water comes out of the recipe. The starter hydration converter and the discard recipe converter do this arithmetic and show each step.

Limits: the maths treats the starter as flour and water only and ignores what fermentation has consumed, which is a small share of the weight.

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