Foundations · Article 04

Ratios & Formula Frameworks

A reference article · 2650 words · 12 cited sources · last reviewed August 2026

A ratio captures how a whole category of baked goods is built, so you can write recipes from scratch, scale them to any yield, and diagnose failures. This is the math and the ratio families that turn following baking into understanding it.

A recipe tells you how to make one thing once. A ratio tells you how a whole category of things is built, and once you hold the ratio, you can write your own recipes, scale them to any yield, diagnose why a batch failed, and flex a formula toward the texture you actually want. This is the difference between following baking and understanding it. As Michael Ruhlman argues in Ratio, “a ratio is a fixed proportion of one ingredient or ingredients relative to another… Ratios are the beginning of infinite variation” (Ruhlman, 2009). This document lays out the mathematical system (baker’s percentage), the design levers (hydration, the balance of structure vs. tenderness), and the canonical ratio families that anchor the craft.

A useful lens, borrowed from Paula Figoni’s How Baking Works, is that every ingredient plays one of a few structural roles. Figoni sorts them into tougheners (structure builders: flour/gluten, eggs, milk solids), tenderizers (sugar, fat, chemical leaveners, egg yolks), moisteners (water, milk, eggs, syrups, liquid sweeteners) and driers (flour, starches, cocoa, milk solids) (Figoni, How Baking Works, 2011). A finished baked good is a negotiated balance between these opposing forces. Change one, and you must usually compensate with another. Nearly every “flex rule” below is really a statement about shifting that balance.

Baker’s percentage: the universal formula language

The system

Baker’s percentage (baker’s math) is the notation professionals use to express any dough or batter formula. The rule is absolute: the total flour weight is always 100%, and every other ingredient is expressed as a percentage of that flour weight (King Arthur Baking, 2022). It is not a true percentage of the whole: the numbers deliberately sum to more than 100%.

To find any ingredient’s baker’s percentage:

ingredient % = (ingredient weight ÷ total flour weight) × 100

A basic lean loaf in this notation:

(Source: King Arthur Baking, 2022.) The total formula percentage (here 169.2%) is the sum of all the individual percentages. It is the master scaling key.

Scaling up or down

Because the flour is the anchor, scaling is arithmetic. Two methods:

Method A: scale from flour. Decide your flour weight, then multiply each percentage by it. Want a big 2 kg-flour batch? Water = 2000 × 0.66 = 1320 g; salt = 2000 × 0.02 = 40 g; yeast = 2000 × 0.012 = 24 g.

Method B: scale from desired total dough weight. This is where the total formula % earns its keep. Suppose you need exactly 1200 g of dough. Divide the target dough weight by the total formula percentage (as a decimal) to recover the required flour:

flour = target dough weight ÷ (total formula % ÷ 100) flour = 1200 ÷ 1.692 = 709 g

Then apply the percentages: water = 709 × 0.66 = 468 g, salt = 14.2 g, yeast = 8.5 g. This is the standard bakery workflow: you almost never start from “how much flour,” you start from “how much finished dough I need.”

Converting an existing recipe to baker’s %

1. Convert every ingredient to weight (grams preferred). Volume must go first (see below).
2. Sum all flour weights (all flours combined = 100%, including whole wheat, rye, semolina).
3. Divide each ingredient by total flour weight, multiply by 100.

Example: a home recipe of 3 cups AP flour (≈ 360 g), 1¼ cups water (≈ 284 g), 1½ tsp salt (≈ 9 g), 1 tsp instant yeast (≈ 3 g) becomes flour 100%, water 79%, salt 2.5%, yeast 0.8%. Immediately you can read the dough: at 79% it’s a high-hydration, slack, open-crumb dough, and salt is a touch high.

Overall vs. true percentage (accounting for preferments)

When part of the flour is fermented ahead in a preferment (poolish, biga, levain, sponge), formulas are written two ways:

• Overall (total) formula: the ingredients summed across the whole dough, preferment included. This is what you use to shop and to compare formulas.
• True (build) percentages: the individual mixing stages. The preferment has its own internal baker’s %, and the “final dough” stage lists only what’s added at final mix. A poolish, for instance, is classically 100% hydration (equal weights flour and water) with a pinch of yeast.

The link between them is the prefermented flour percentage: what fraction of the total formula flour is fermented in advance (see Preferment percentages, below). Overall percentages let you compare two formulas fairly; true percentages tell you what to weigh at each mixing step.

Why weight, not volume

Professionals refuse volume measurement for a structural reason: volume is not reproducible. A “cup” of flour can weigh anywhere from ~120 g (spooned, leveled) to ~150 g+ (scooped, packed): a 25% swing that would move a 66% hydration dough to 80%+ or down to 55%, i.e., from a slack ciabatta to a stiff bagel dough, with no change to the written recipe. Weight removes that variable entirely, makes baker’s % arithmetic possible, and lets a formula scale perfectly from one loaf to a thousand (King Arthur Baking, 2022; Ruhlman, 2009). Water is the honest reference: 1 g water = 1 mL, so hydration math is exact.

Hydration as a design lever

Hydration is water as a baker’s percentage of flour, and it is the most powerful dial in bread. It governs how open the crumb is, how the dough handles, and how the finished loaf keeps.

(Sources: King Arthur Baking, 2023; Reinhart, 2001.)

What hydration does to crumb. More water gives the gluten network more mobility during fermentation, letting gas bubbles expand and merge into large, irregular holes (the “open crumb” prized in ciabatta and rustic breads) and yields a moister interior with better keeping quality. Lower hydration restricts bubble growth, producing the “closed crumb structure and toothy chew” of bagels and pretzels (King Arthur Baking, 2023).

The handling tradeoff. Water buys crumb at the cost of control. Above ~72–75%, dough becomes sticky and slack, and demands technique: stretch-and-folds instead of kneading, higher-protein flour to hold the extra water, banneton support, sometimes a Dutch oven to trap steam. Below ~60%, dough is easy to handle but needs mechanical work to develop. High-hydration success also depends on flour protein and absorption: bread flour (~12–13% protein) holds far more water than all-purpose before turning to soup.

Standard ranges for a lean bread formula

A “lean” dough is flour, water, salt, yeast: no fat, sugar, egg, or dairy (baguette, ciabatta, most sourdough).

Salt is the one ingredient with “firm rules,” generally 1.8–2.2% of flour weight (King Arthur Baking, 2022). Below ~1.5% bread tastes flat and ferments too fast; above ~2.5% it noticeably restrains yeast.

Yeast flexes with time and temperature, not flavor. Instant/dry yeast typically runs 0.5–1% for a same-day dough; long, cold, or prefermented fermentations use far less (0.1–0.4%). Conversions: instant ≈ 1, active dry ≈ 1.25, fresh/compressed ≈ 3 by weight for the same leavening power (Figoni, 2011).

How enrichment changes the ranges. Adding fat, sugar, eggs, and dairy shifts the numbers: (1) more yeast: sugar and fat slow fermentation, so enriched doughs run 1.5–3%+ instant yeast; (2) effective hydration falls: eggs (~75% water), butter, and milk contribute moisture and fat that coats gluten, so written water drops even as the dough gets richer; (3) salt may rise slightly to balance sweetness.

The canonical ratio families

All ratios are by weight unless noted (Ruhlman, 2009, verified against source and cross-checked with professional texts). For each: the ratio, the role of each component, and the flex rules.

Bread: 5 flour : 3 water (+ yeast + salt)

The master ratio. 5 parts flour to 3 parts water by weight equals 60% hydration, the low-handling, reliable end of the bread spectrum (Ruhlman, 2009). Add ~2% salt and ~1% yeast for a complete lean dough.

• Flour = structure (gluten + setting starch). Water = activator (hydration, enzyme/yeast activity, steam). Yeast = leavener. Salt = control and flavor.

Flex rules: increase water toward 70–85% → more open crumb, slacker dough, artisan style; drop toward 55% → bagel/pretzel density. More yeast/warmth → faster, milder; less yeast + time/cold → deeper flavor. Add fat/sugar/egg → brioche (see Enriched & laminated dough).

Pasta: 3 flour : 2 egg

Fresh egg pasta is 3 parts flour to 2 parts egg by weight (Ruhlman, 2009): roughly one large egg (~50 g) per ~75 g flour.

• Flour (ideally “00” or semolina blend) = gluten structure and bite. Egg = the entire liquid and a structure-builder; yolk fat and lecithin enrich and tenderize.

Flex rules: more yolk → richer, silkier, more tender and golden; more whole egg/white → firmer, springier. Semolina raises bite and bronze color.

Pie dough / short pastry: 3 flour : 2 fat : 1 water

Pâte brisée and cousins: 3 flour : 2 fat : 1 water by weight (Ruhlman, 2009).

• Flour = structure and the limited gluten that gives flakiness its walls. Fat = tenderizer and flake-maker. Water = just enough to cohere; too much builds gluten → toughness.

The three short-pastry siblings differ by additions, not backbone:

Moving brisée → sucrée → sablée adds tenderizers (sugar, yolk fat) and reduces gluten development, trading flakiness for tender snap.

Biscuit: 3 flour : 1 fat : 2 liquid (+ leavener)

3 flour : 1 fat : 2 liquid, plus chemical leavening (Ruhlman, 2009). Less fat but more liquid than pie dough, rising with baking powder.

• Flour = structure (soft, low-protein flour keeps biscuits tender). Fat (cold) = tenderizer + flake source, cut in coarsely. Liquid (buttermilk/milk) = hydration; buttermilk’s acid reacts with soda. Leavener ≈ 1 tbsp baking powder per ~240 g flour (~5%).

Flex rules: more fat → richer/shorter; more liquid → softer, taller/fluffier but stickier; coarse fat + minimal handling → flaky, over-mixing → tough. Scones = sweet, egg-enriched, stiffer relative.

Pound cake: 1 : 1 : 1 : 1, and the high-ratio concept

Classic pound cake = equal weights flour : butter : sugar : egg (Ruhlman, 2009). Two structure-builders (flour, egg) against two tenderizers (butter, sugar), leavened mechanically by creaming.

Flex rules: more sugar/butter → more tender, moister, denser-fine; more egg/flour → sturdier, drier, more open. Add chemical leavener and liquid → butter/yellow cake.

The high-ratio cake concept. In a “high-ratio” cake, sugar weight ≥ flour weight, and total liquid (incl. eggs) ≥ flour weight (Gisslen, Professional Baking; King Arthur Baking). That much sugar and water would collapse an ordinary batter. Two technologies make it stand: emulsified (high-ratio) shortening, carrying mono/diglyceride emulsifiers so the batter holds far more sugar syrup and fat in stable suspension; and chlorinated cake flour, whose low-protein, acid-treated starch gelatinizes lower and absorbs more liquid/sugar, setting the crumb before it falls. The payoff is the ultra-moist, fine, tender crumb of American layer and wedding cakes.

Sponge / genoise: egg-foam leavening

Ruhlman’s genoise: 1 egg : 1 sugar : 1 flour by weight, often with butter (up to 1 part) for richness (Ruhlman, 2009). Whole eggs whipped with sugar to a ribbon trap air; sifted flour folded in; heat expands and sets it.

• Egg foam = leavening and structure (no baking powder). Sugar = tenderizer, foam stabilizer, moisture. Flour = structure/set. Butter (if used) = tenderizer + flavor, folded last (it deflates foam).

The “weight of the eggs” logic: because eggs are the leavening engine, foam-cake formulas balance to the weight of the eggs, self-scaling to whatever eggs you have.

Angel food cake is the fat-free extreme: whites : sugar : flour at roughly 3 : 3 : 1. Chiffon re-introduces yolks and oil plus baking powder for a moist hybrid.

Flex rules: more egg → higher rise, springier, drier; more sugar → more tender/moist but softer foam (add gradually); adding butter/yolk → richer but denser.

Quick bread / muffin: 2 : 2 : 1 : 1

2 flour : 2 liquid : 1 egg : 1 butter by weight, plus chemical leavener (Ruhlman, 2009): the “muffin method” batter, wet folded gently into dry.

Flex rules: more liquid/fat → softer, cakier; more flour/egg → sturdier, bready; over-mixing → tunnels and toughness. Nudge sugar/fat up → “cake”; down → rustic quick bread.

Pancakes, crêpes, popovers, Yorkshire: batters by consistency

All flour-egg-liquid batters differentiated mainly by how thin they pour:

Popover/Yorkshire science: a thin, high-egg batter poured into a screaming hot greased pan flashes its water to steam, inflating the egg-flour walls into a hollow shell before the protein sets: the same steam-leavening principle as choux. Flex rules: more liquid → lacier/flatter; more flour → sturdier/taller; more egg → more pop and chew.

Pâte à choux: 2 water : 1 butter : 1 flour : 2 egg

Cream puffs, éclairs, gougères: 2 water : 1 butter : 1 flour : 2 egg by weight (Ruhlman, 2009). Cooked twice: a panade (water + butter + flour cooked to a paste), then beaten with eggs, then baked.

Why it puffs: cooking the flour in boiling water pre-gelatinizes the starch, letting the paste absorb a large amount of egg and hold lots of water. In the hot oven that water flashes to steam and inflates the elastic, egg-rich paste; the egg and gelatinized starch then set into a rigid wall holding the cavity (Figoni, 2011). Eggs-to-paste logic: eggs are added by feel to the cooled panade until it reaches a “ribbon/V” pipeable consistency: too little and it won’t puff or stay hollow; too much and it spreads. Flex rules: more egg (to a point) → higher, lighter, hollower; under-egging or over-drying the panade → dense, cracked, collapsed.

Custards: eggs as the structural set

Custards are liquid thickened/set by egg protein coagulation. Egg-to-liquid (and whole egg vs. yolk) determines everything from a pourable sauce to a sliceable set (Ruhlman, 2009; Figoni, 2011).

• Egg = the set (whites firm and can weep/curdle; yolks tenderize, emulsify, enrich, set softly). Liquid = body and dilution (more liquid per egg = softer). Sugar = tenderizer that raises coagulation temperature (gentler, less likely to curdle). Starch (pastry cream) = stabilizer that protects yolk proteins so the custard can be boiled.

Flex rules: firmer/sliceable → more egg or add whites; silkier/softer → more yolk, less white, more cream/sugar; boil-proof and thick → add starch. Custards curdle from heat, so gentle temperatures (water baths; ~82 °C for stirred) are structural, not fussy.

Cookies: engineering texture on the flour : fat : sugar spectrum

Cookies have no single ratio because texture is the point. A useful baseline (drop cookie) is roughly 3 flour : 2 fat : 2 sugar by weight, with egg and leavening, but the craft is in moving each variable (Figoni, 2011; López-Alt, The Food Lab).

Why it works: chewy = moisture retention (brown sugar, yolk, higher hydration) + some gluten (melted butter, bread flour). Crisp = spread and moisture loss (white sugar, more fat, less flour, low egg). Cakey = aeration and set structure (creamed butter or baking powder, more egg/flour). Soda vs. powder: soda raises pH → faster browning and spread (chewier, darker); powder is neutral and puffs (cakier). Resting hydrates flour and deepens flavor and evens spread.

Meringue & buttercream

Meringue = whipped egg whites + sugar, baseline 1 white : 2 sugar by weight. More sugar = denser, glossier, more stable. Three types differ by how the sugar meets the whites:

Buttercream families:

Enriched & laminated dough

Brioche is lean dough plus large butter and egg, graded by fat-to-flour tier (butter as baker’s %):

Plus ~50% egg and some milk and sugar. Rich brioche needs strong flour, more yeast, gluten developed before the butter goes in, and cold handling.

Croissant / laminated dough is a leaner yeasted base (“détrempe”) with a butter block (“beurrage”) locked in and folded: typically butter ≈ 25–50% of détrempe weight. Three letter folds = 3³ = 27 butter layers; add base layers and doughs reach 50–81+ leaves. Why it flakes: each butter layer stays discrete; in the oven its water flashes to steam, pushing the leaves apart while the butter fries them crisp. Puff pastry uses no yeast and even more butter (~50%+). Flex rules: more butter and more (thinner) layers → flakier; too-warm butter merges into dough → dense, greasy, no rise. (See also lamination in Methods & Techniques.)

Preferment percentages & improver math

The key number for a preferment is the prefermented flour percentage, the share of the total formula flour that lives in the preferment:

prefermented flour % = (flour in preferment ÷ total formula flour) × 100

Typical ranges: poolish 20–40% (at 100% hydration), biga 30–50% (~50–60% hydration), levain 15–30%. Example: a 1000 g-flour formula with a 300 g-flour poolish is 30% prefermented flour; the poolish is 300 g flour + 300 g water + a pinch (~0.1%) yeast, and 700 g flour goes into the final dough.

More prefermented flour and longer time → more acidity, deeper flavor, stronger dough, slower staling, but past a point too much acid weakens gluten. The industrial cousin is the dough improver (0.5–2% of flour): oxidants (ascorbic acid, ~20–100 ppm), enzymes (amylase, protease), emulsifiers: same math, applied to functional additives.

Master summary tables

The canonical ratios at a glance (by weight)

The structure/tenderness balance (Figoni)

Every formula is a balance of these opposing pairs. To write your own recipe: pick the family ratio as a starting frame, decide the texture you want, then move one lever at a time, always compensating a toughener with a tenderizer, a moistener with a drier, and record the result in baker’s percentage so it scales forever.