# Baker’s Math Explained!

Do you know this? You look at a sourdough bread recipe, and there’s lots of percentages on it, but when you add them all up, it’s way above 100%? That’s very confusing. So, what’s up? In this article baker’s math and baker’s percentages will be explained. Knowing this will help you become a better baker.

Baker’s math and baker’s percentages are a pretty universally accepted convention of describing baked recipes. It’s unique in the way that it always scales the percentage from the total flour. Which means any and all flour in the recipe is always 100%.

Knowing baker’s math makes you able to scale recipes, generalize them so you can easily remember them. It will also help you learn how to make your own recipes.

If you want to watch the information in this article as a video, you can watch it here:

## Note about the formulas in Baker’s Math

In this article I will be using three different variable names in the formulas:

 w Denotes weight in any unit of your choice p Denotes a percentage h Denotes hydration as a percentage

## Calculation from percentages to weight

Let’s assume this simple recipe:

Simple Sourdough Bread
by Foodgeek

100% flour
67% water
20% starter (100% hydration)
2% salt

If we had more than one type of flour in the recipe, the sum of the percentages should add up to 100%.

If you want to calculate the weight of any ingredient, you can use this simple formula:

w_{ingredient}=\frac{p_{ingredient} \times {w_{flour}}}{100}

So given that we want a total flour weight of 1500g we’d calculate the weight of the water the following way:

\begin{aligned} w_{water}&=\frac{67 \times 1500g}{100}\\ &=1005g \end{aligned}

Using the exact same formula for the starter and the salt we get the following recipe:

Simple Sourdough Bread
by Foodgeek

1500g flour
1005g water
300g starter (100% hydration)
30g salt

## Calculation from weight to percentages

If you want to generalize a recipe, you can also go from a recipe to percentages.

Pretty Simple Sourdough Bread
by Foodgeek

106g whole-grain wheat flour
354g water
106g starter (100% hydration)
11g salt

Obviously the 423g of bread flour + 106g of whole-grain wheat flour is the 100%. So we’ll need the total for the rest of the calculations:

\begin{aligned} w_{flour} &= 423g + 106g\\ &= 529g \end{aligned}

So to calculate the percentage of an ingredient, we’ll use this formula:

p_{ingredient}=100 \times \frac{w_{ingredient}}{w_{flour}}

So for water it’d be:

\begin{aligned} p_{water}&=100 \times \frac{354g}{529g}\\ &= 67\% \end{aligned}

So after we’ve converted all the ingredients we end up with this recipe:

Pretty Simple Sourdough Bread
by Foodgeek

20% whole-grain wheat flour
67% water
20% starter (100% hydration)
2% salt

## How do you calculate hydration in a bread recipe?

To calculate the hydration in a dough, you need to add up all the flour and all the fluids and use this formula:

h_{dough}=100 \times \frac{w_{fluid}}{w_{flour}}

If you have a starter which is a different hydration from 100% you can calculate the weight of the flour and the water in the starter by using these formulas:

\begin{aligned} w_{starter fluid} &= \frac{w_{starter} \times h_{starter}}{h_{starter} + 1}\\ w_{starter flour} &= w_{starter} – w_{starter fluid} \end{aligned}

If your starter is 100% hydration you can just divide the weight of the starter with 2 and assign the result to both the weight of the flour and water in the starter.

So given this recipe:

Pretty Simple Sourdough Bread
by Foodgeek

106g whole-grain wheat flour
354g water
106g starter (100% hydration)
11g salt

We’ll calculate this:

\begin{aligned} w_{flour} &= (423g + 106g) + \frac{106g}{2}\\ &=582g\\ w_{fluid} &= 354g + \frac{106g}{2}\\ &= 407g\\ h_{dough} &= 100 \times \frac{407g}{582g}\\ &= 70\% \end{aligned}

## Commonly used baker’s percentages in baker’s math

When developing recipes, there are a couple of percentages that will help you:

#### How much starter do I put in?

The amount of starter in a recipe is usually between 10%-30%. The amount that you put in the dough depends on the fermentation speed that you want to archive. The more you put in the dough the faster the fermentation will be.

So if you are working at warm temperatures you will probably want to use less starter. If you are working at colder temperatures you’d probably want to go high. My go to amount is 20% when working at common room temperature 21°C/70°F.

#### How much salt do I put in?

The amount of salt that you put in the dough will effect the retardation of the dough, but for taste, around 2% of salt seems to be a good place to be.

#### How much water do I put in?

When it comes to hydration, it can make a big difference what kind of bread that you will end up with:

 Hydration Description 50%-57% Dry dough. Hard to knead. Dense crumb. 58%-67% Tacky but not sticky. Easily kneaded. Relatively dense crumb 68%-85% Wet dough. From slightly sticky at the lower end to very hard to work with at the high end. From a somewhat open crumb to extremely open (this paired with how the dough is handled) Above 85% Not commonly used for bread doughs, but some (relatively insane bakers) will be making these breads.

Note that when it comes to hydration that flours are not the same. Using an all-purpose or bread flour only in a recipe, may result in a very wet dough at a certain hydration, where if you were to put some whole-grain flour in, it may be a lot more manageable at the same hydration. So keep this in mind when developing a recipe.

## Use my Bread Calculator. It’s has Baker’s Math built-in

Now that you understand how it works, you can use my Bread Calculator that will calculate all the information you need on-the-fly.

It also helps you scale the recipe, from the total weight and the total flour weight, change hydration, convert a yeasted recipe to sourdough, permanently save the recipe and print it.

I develop all my recipes in this tool, and it was made to support my workflow. If you have any suggestions to the Bread Calculator, feel free to contact me with your ideas, praise and comments.

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