Dough Math

Sourdough starter hydration converter

Enter your starter's weight, its current hydration and the hydration you want. You see how much flour or water to add, step by step.

Your numbers

Weigh the starter you want to convert, jar not included.

%

Water as a percentage of flour in your starter. Equal weights of flour and water is a hydration of one hundred percent.

%

The hydration your recipe asks for. Lower means a stiffer starter, higher means a runnier one.

Use all your starter and add one ingredient, or keep the same total weight by using only part of the starter.

Examples

Result

Water to add

0.0 g

Flour to add

12.5 g

What the result is made of, by weight

  • Flour in the new starter 56 %
  • Water in the new starter 44 %
Step by step
Flour in your starter = weight ÷ (1 + hydration)50.0 g
Water in your starter = weight − flour50.0 g
Starter used100.0 g
Flour added12.5 g
Water added0.0 g
Flour in the new starter62.5 g
Water in the new starter50.0 g
New starter weight112.5 g
New hydration = water ÷ flour80.0 %

How it works

Hydration is the weight of water divided by the weight of flour. The calculator splits your starter into flour and water, then adds only the ingredient needed to reach the new ratio. It never asks you to take flour or water out.

Formula

Flour in starter = M ÷ (1 + h1). Water in starter = M − flour. Wetter (h2 > h1): add water = flour × (h2 − h1). Stiffer (h2 < h1): new flour = water ÷ h2, add flour = new flour − flour. Same total weight: use U = M × (1 + h1) ÷ (1 + h2) of the starter when going wetter, or U = M × h2 × (1 + h1) ÷ ((1 + h2) × h1) when going stiffer, and top up to M.

Worked example

The calculator opens with this example; the result above is computed from it.

InputValue
Starter weight100 g
Current hydration100 %
Target hydration80 %
What to keepUse all the starter (add flour or water)
Water to add0.0 g
Flour to add12.5 g

100 g of starter at 100 % holds 50.0 g of flour and 50.0 g of water. To reach 80 %, add 0.0 g of water and 12.5 g of flour. You get 112.5 g of starter.

Assumptions and limits

  • Hydration means water weight as a percentage of flour weight.
  • All amounts are weights. Cups and spoons are not accurate enough for this.
  • Nothing is ever removed: the calculator only adds flour or water, or tells you how much starter to set aside.
  • The maths does not account for fermentation. A converted starter usually needs a feed or two to settle at its new hydration.

The result is an estimate for planning, not professional advice.

Sources

Last updated:

Method in depth: Starter hydration maths: splitting a starter into flour and water

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