Foundations · Article 04

Ratios & Formula Frameworks

A reference article · 4,600 words · 50 cited sources · last reviewed October 2026 · fact-checked October 2026, 82 claims

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. Michael Ruhlman’s Ratio is built on that idea: its publisher describes ratios as “the simple proportions of one ingredient to another” (Simon & Schuster, n.d.), and the book itself calls them “the points from which infinite variations begin” (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 functional roles. In the course material built on Figoni’s chapter, structure builders are flour, eggs, cocoa, and starch; tenderizers are sugars and syrups, fats and oils, and leavening agents; moisteners are water, milk, eggs, cream, syrups, and oil or melted fat; and driers are flour, starch, milk solids, and cocoa (course material after Figoni, 2011). The print edition was not checked for this audit, so treat the exact membership of each list as provisional. 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, n.d.-a). It is not a true percentage of the whole: the numbers deliberately sum to more than 100% (King Arthur Baking, n.d.-a).

To find any ingredient’s baker’s percentage:

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

A basic lean loaf in this notation:

The total formula percentage (here 169%) is the sum of all the individual percentages. It is the master scaling key. The water and salt are typical of lean formulas, and 1% instant yeast is an ordinary same-day level; King Arthur’s own same-day loaf runs about 1.2 to 1.3% (King Arthur Baking, n.d.-a; King Arthur Baking, n.d.-b).

Scaling up or down

Because the flour is the anchor, scaling is arithmetic. Two methods (King Arthur Baking, n.d.-a):

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 × 0.01 = 20 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 ÷ 1.69 = 710 g

Then apply the percentages: water = 710 × 0.66 = 469 g, salt = 14.2 g, yeast = 7.1 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) (Leo, n.d.).
3. Divide each ingredient by total flour weight, multiply by 100.

Example: a home recipe of 3 cups AP flour (≈ 360 g at King Arthur’s 120 g per cup) (King Arthur Baking, n.d.-c), 1¼ cups water (≈ 296 g, since a US cup is 236.6 mL), 1½ tsp table salt (≈ 9 g), 1 tsp instant yeast (≈ 3 g) becomes flour 100%, water 82%, salt 2.5%, yeast 0.8%. Immediately you can read the dough: at 82% it’s a high-hydration, slack dough for all-purpose flour, and salt is on the high side (Philip, 2023; King Arthur Baking, n.d.-d). The hydration figure depends on how the cups of flour were filled.

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 (BAKERpedia, n.d.-c).

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 ~160 g (condensed or packed), a 33% swing (Anastopoulo, 2023); America’s Test Kitchen measured up to a 20% spread between cooks scooping the same flour (America’s Test Kitchen, n.d.-b). A dough written as 66% hydration at America’s Test Kitchen’s 142 g per cup lands anywhere from about 59% to 78% depending on how the cups were filled, with no change to the written recipe. The full set of sourced figures, and the fill method each one assumes, is in Weights & Measures. Weight removes that variable entirely, makes baker’s % arithmetic possible, and lets a formula scale from one loaf to a thousand. Water is the honest reference: 1 g of water is 1 mL to within about 0.3% at room temperature, and under 1% even for warm dough water, so hydration math is effectively exact (Haynes, 2016).

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 (Philip, 2023).

(Sources: CraftyBaking, n.d.; Carson, n.d.; Philip, 2022; Philip, 2023.)

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 (Philip, 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 (Philip, 2023). Below ~60%, dough is easy to handle but needs mechanical work to develop (Philip, 2023). High-hydration success also depends on flour protein and absorption: bread flour (~12–13% protein) absorbs somewhat more water than all-purpose, and whole-grain flours absorb more still (BAKERpedia, n.d.-b; Philip, 2023).

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).

(Sources: Philip, 2023; King Arthur Baking, n.d.-d; King Arthur Baking, n.d.-e.)

Salt is the most tightly held ingredient, generally 1.8–2% of flour weight, with some bakers going to about 2.3% (King Arthur Baking, n.d.-d; BAKERpedia, n.d.-d; Leo, n.d.). Well below that range bread tastes flatter and the dough ferments faster, though trials that cut salt from a commercial 1.2% to 0.6% still gave comparable bread (Lynch et al., 2009); above about 2%, salt increasingly restrains yeast (Belz et al., 2012; King Arthur Baking, n.d.-d).

Yeast flexes with time and temperature, not flavor. Instant yeast commonly runs about 0.5–1.3% for a same-day dough (King Arthur’s own same-day loaf is about 1.2%); long, cold, or prefermented fermentations use far less, about 0.1–0.4%, and an overnight poolish less still (King Arthur Baking, n.d.-b; BAKERpedia, n.d.-c). Conversions: instant ≈ 1, active dry ≈ 1.25–1.6 (sources differ), fresh/compressed ≈ 3 by weight for the same leavening power (King Arthur Baking, n.d.-e; BCcampus, n.d.).

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 commonly carry 1.5–3%+ instant yeast in recipe practice; (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 (BCcampus, n.d.; USDA Agricultural Research Service, n.d.).

The canonical ratio families

All ratios are by weight unless noted, and the core ratios are Ruhlman’s (Ruhlman, 2009), 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; Ruhlman, n.d.). Add ~2% salt (King Arthur Baking, n.d.-d) 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: raise water toward 70–80% (higher for some rustic doughs) for a more open crumb and a slacker, artisan-style dough; drop toward 45–57% for dense bagel and pretzel doughs (CraftyBaking, n.d.; Carson, n.d.). 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:

(Sources: Gisslen, 2008; Figoni, 2011.)

Moving brisée → sucrée → sablée adds tenderizers (sugar, yolk fat) and reduces gluten development, trading flakiness for tender snap (Figoni, 2011).

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 (Figoni, 2011). Leavener ≈ 1 tbsp baking powder (~12 g) per ~240 g flour, about 5% (King Arthur Baking, n.d.-c).

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 equals or exceeds flour weight, commonly about 110 to 140% of it, with around 125% typical (Innograin, 2024); eggs outweigh the shortening; and total liquid, eggs included, equals or exceeds the sugar weight, and so the flour too (Corriher, 2008). Some sources use a looser test: sugar, liquid, or both exceed the flour (Van Haesendonck et al., 2018). That much sugar and water would collapse an ordinary batter. Two technologies make it stand: emulsified (high-ratio) shortening, whose mono- and diglycerides keep far more liquid, sugar, and fat in a stable batter; and chlorinated cake flour, low in protein and acidified, whose starch granules become more hydrophobic and swell more readily, absorbing liquid and setting the crumb before it can fall (Innograin, 2024; Seguchi & Matsuki, 1977; Van Haesendonck et al., 2018). The payoff is the ultra-moist, fine, tender crumb of American layer and wedding cakes.

Sponge / genoise: egg-foam leavening

Ruhlman’s sponge cake is 1 egg : 1 sugar : 1 flour : 1 butter by weight, with the butter a full part (Ruhlman, 2009). Many cooks cut the butter back or leave it out for a lighter sponge. 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 = 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 (Ruhlman, 2009).

Angel food cake is the fat-free extreme: whites : sugar : flour at roughly 3 : 3 : 1 (Pastry Chef Online, n.d.). Chiffon re-introduces yolks and oil plus baking powder for a moist hybrid (Gisslen, 2008).

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:

(Source: Ruhlman, 2009.)

Popover/Yorkshire science: a thin, high-egg batter in a very hot oven (Yorkshire pudding classically goes into a smoking-hot greased tin; some popover recipes start cold) 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 (McGee, 2004). 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 (McGee, 2004; 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 (McGee, 2004; Ruhlman, 2009).

(Sources: Ruhlman, 2009; Gisslen, 2008; America’s Test Kitchen, n.d.-c.)

• Egg = the set (whites firm and can weep/curdle; yolks tenderize, emulsify, enrich, set softly). Liquid = body and dilution (more liquid per egg = softer) (McGee, 2004). Sugar = tenderizer that raises coagulation temperature (gentler, less likely to curdle) (McGee, 2004). Starch (pastry cream) = stabilizer that interferes with the egg proteins’ cross-linking so the custard can be boiled (America’s Test Kitchen, n.d.-c).

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; about 82–85 °C for stirred) are structural, not fussy (Gisslen, 2014).

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

Cookies have no single ratio because texture is the point. Ruhlman’s basic cookie dough is 3 flour : 2 fat : 1 sugar by weight (Ruhlman, 2009); drop cookies such as chocolate chip carry far more sugar, and sugar is the lever that moves most between styles. The craft is in moving each variable (Handle the Heat, n.d.-b).

(Sources: Handle the Heat, n.d.-a; Handle the Heat, n.d.-b; America’s Test Kitchen, n.d.-a.)

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) (Handle the Heat, n.d.-b). Soda vs. powder: soda raises pH → faster browning and spread (chewier, darker) (America’s Test Kitchen, n.d.-a); powder carries its own acid and spreads less, giving a puffier, cakier cookie in some tests (Handle the Heat, n.d.-b), though America’s Test Kitchen’s powder-only cookies came out pale and crisp (America’s Test Kitchen, n.d.-a). Resting hydrates flour and deepens flavor and evens spread (Handle the Heat, n.d.-a).

Meringue & buttercream

Meringue = whipped egg whites + sugar, baseline 1 white : 2 sugar by weight (Migoya, 2012). More sugar = denser, glossier, more stable. Three types differ by how the sugar meets the whites:

(Sources: Gisslen, 2008; Migoya, 2012; Ricardo Cuisine, n.d.)

Buttercream families:

(Source: Wikipedia, n.d.)

Enriched & laminated dough

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

(Sources: Reinhart, 2001; American Society of Baking, n.d.-b.)

Plus roughly 40–70% egg and some milk and sugar (Reinhart, 2001; American Society of Baking, n.d.-b). Rich brioche needs strong flour, more yeast, gluten developed before the butter goes in, and cold handling (American Society of Baking, n.d.-b).

Croissant / laminated dough is a leaner yeasted base (“détrempe”) with a butter block (“beurrage”) locked in and folded: roll-in butter is commonly about 50–75% of flour weight (BakeInfo gives 75% as the maximum), roughly 25–40% of the détrempe weight, or about 22–30% of the total dough (BakeInfo, 2021). Three letter folds triple the butter sheet three times: 3³ = 27 butter layers with a single lock-in (28 dough layers between them), or 54 when the lock-in starts with two butter sheets, as many bakery counts do (American Society of Baking, n.d.-c; BakeInfo, 2021). The Viennoiserie atlas works through the counting conventions. 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 usually more butter, classically equal to the flour weight in full puff, with three-quarter and half puff using less (BakeInfo, n.d.). 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 vary: prefermented flour commonly runs 10–20% in a regular bread (ChainBaker, n.d.) and 5–25% in most recipes, and a classic sourdough prefers 10–20% prefermented flour, which is 20–40% of the flour weight as a 100%-hydration levain (Janjigian, n.d.). Poolish (100% hydration) and biga (about 50–60% hydration) formulas often run higher. 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% of the poolish flour) of yeast, and 700 g flour goes into the final dough (ChainBaker, n.d.; BAKERpedia, n.d.-c).

More prefermented flour and longer time → more acidity, deeper flavor, stronger dough, slower staling, but past a point too much acid weakens gluten (Katina, 2005). The industrial cousin is the dough improver (about 0.5–3% of flour): oxidants (ascorbic acid, typically up to about 150 ppm of flour weight; the U.S. flour standard permits up to 200 ppm), enzymes (amylase, protease), emulsifiers: same math, applied to functional additives (Bakers Journal, n.d.; American Society of Baking, n.d.-a; BAKERpedia, n.d.-a).

Master summary tables

The canonical ratios at a glance (by weight)

(Sources: Ruhlman, 2009; Pastry Chef Online, n.d.; Migoya, 2012.)

The structure/tenderness balance

(Source: Figoni, 2011, as presented in course material; print edition not checked.)

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 structure builder with a tenderizer, a moistener with a drier, and record the result in baker’s percentage so it scales forever.