A Verbal Calculator for Bread Ratios

…I often find thinking about the proportions of hydration in recipes to be pretty confusing. To remedy this, I always try to think of a recipe in the terms used below.

I used Tangle.js to make each sentence customizable (drag over each number to change it).

To arrive at 79.1 percent final hydration while using a recipe with 20 percent starter, when the starter is at 100 percent hydration, we need the initial hydration to be 75 percent.


Start with a 70.0 percent hydration recipe and using 20 percent starter at 100 percent hydration to end up with a 75 percent hydration loaf.

Equations:

fdh=(sh×sp)+(sh×h)+hsh+sp+1

…solving the other way around:

h=fdh×(sh+sp+1)(sh×sp)sh+1

Definitions:

fdh= final dough hydration
h= hydration (the ratio of water to total flour in the recipe)
sh= starter hydration (the ratio of water to flour in the starter)
sp= starter percentage (the ratio of starter to flour in the recipe)

Notes

This page is just a sketchpad. I’m using Bret Victor’s Tangle.js and the hydration math here (no, I haven’t double-checked it yet!).

What I want is an easy way to understand in plain terms what the starting and finishing hydrations of a bread are. Another idea would be to make a page like this for beer gravities…