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FORMULA SHELF 37 of 370

The arithmetic behind the work: what to measure, what to type in, and what the answer comes out as. Every formula says what the symbols mean and gives a worked example, so you can check it against a job you have already done.

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Kitchen 37 formulas

Baker's percentages MOST USED
ingredient % = (weight of the ingredient / total flour weight) x 100
SYMBOLS · flour is always 100%; everything else is measured against it
UNITS · %
HOW TO USE

The only sane way to scale a bread recipe, and the way professional bakers write them. Change the flour and everything scales with it.

EXAMPLE

A loaf with 1,000 g flour, 700 g water, 200 g starter and 20 g salt is 70% hydration, 20% starter and 2% salt.

baking percentage bread flour scaling
Hydration MOST USED
hydration % = (water weight / flour weight) x 100
SYMBOLS · 65% is easy, 75% is normal for a good loaf, 85% needs a strong flour and a hot oven
UNITS · %
HOW TO USE

More water means a more open crumb and a wetter dough that is harder to handle. A change of 5% hydration changes the dough a lot.

EXAMPLE

700 g water on 1,000 g flour is 70% hydration.

hydration bread dough flour crumb
Safe cooking temperatures MOST USED
beef and lamb 63 C for 3 minutes, pork 71 C, poultry 74 C, fish 63 C, reheated food 75 C
SYMBOLS · temperature at the thickest part, and for 3 minutes; a food thermometer is the only way to be sure
UNITS · degrees C
HOW TO USE

Colour is not proof. A meat thermometer costs almost nothing and settles every argument about dinner. See Cooking Temperatures.

EXAMPLE

Chicken breast cooked to 74 C in the thickest part is safe; browned outside and pink inside is not.

temperature safe meat poultry thermometer
Brine and salt percentage MOST USED
salt % = salt weight / total weight x 100 ; a 10% brine is 100 g of salt per litre of water (about 108 g a litre of finished brine)
SYMBOLS · for a meat brine, 0.5-0.7% of the bird's weight; for pickling, 2% salt by weight of the vegetables
UNITS · %
HOW TO USE

Weigh the salt and the water, or measure the water and use the figure for the salt. Ice brine is 20-25% for a fast pickle. See Curing Bacon And Sausages.

EXAMPLE

To brine a 4 kg chicken at 0.6%: 24 g of salt in 1 L of water.

brine salt pickle percentage curing
Jam setting point MOST USED
set at 65-68 C, or 104-105 C at sea level ; 1% more sugar or a 2% drop in pectin needs about 5-8 C less heat
SYMBOLS · the wrinkle test: put a cold saucer in the pan, drip some syrup on it and it should wrinkle when you push it with a finger
UNITS · degrees C, %
HOW TO USE

A boiling thermometer is worth the money. Overcook the jam and it goes tough, undercook it and it runs. See Jam Jelly And Preserves.

EXAMPLE

Add 1% extra sugar and the set comes at about 62 C instead of 65 C.

jam setting temperature pectin sugar
Stock and broth ratios MOST USED
bones and meat to water by weight: 1:2 for a rich stock, 1:3 for a light one; vegetables 1:1 by weight
SYMBOLS · skim the fat and the impurities off the top as it simmers, and never boil it hard
UNITS · by weight
HOW TO USE

Roast the bones first for a deeper flavour, and add the vegetables for the last hour so they do not turn to mush. See Making Stock.

EXAMPLE

1 kg of bones and 2 kg of cold water gives about 1.5 L of stock after simmering and skimming.

stock broth ratio bones simmer
Alcohol from sugar
ABV % = 131 x (SG at start - SG at finish)
SYMBOLS · a gravity reading of 1.090 is about 9% potential alcohol; 19 g of sugar a litre gives about 1% alcohol
UNITS · %
HOW TO USE

A rough check on a ferment. If the drink is not as strong as the sugar suggested, the yeast ran out of food or something else ate the sugar. See Cider And Perry.

EXAMPLE

Starting at 1.060 and finishing at 1.000 gives 131 x 0.06 = 7.9% alcohol.

alcohol abv sugar ferment cider
Baking powder and raising agents
1 level teaspoon (5 g) per cup (125 g) of flour for single acting, 1/2 teaspoon for double acting
SYMBOLS · baking soda needs acid, so use it with buttermilk, cocoa or molasses; baking powder works on its own
UNITS · g
HOW TO USE

Double acting powder works twice, once in the mix and once in the oven, so it is more forgiving. Do not mix baking powder and bicarbonate of soda together.

EXAMPLE

A 3 cup cake mix needs 1.5 teaspoons of double acting powder.

baking powder raising spoon sooda cake
Brix, specific gravity and Baume
SG = 1 + (Brix / 100) roughly at 20 C ; Baume = Brix x 0.21 for a hydrometer marked in Baume
SYMBOLS · Brix reads the grams of sugar in 100 g of solution, so it is weight, not volume; a refractometer reads it instantly
UNITS · Brix, SG
HOW TO USE

The way to know if your cider is fermenting and if your wine is ready. Sugar is the fuel for the yeast, and the falling reading tells you it is running out. See Cider And Perry.

EXAMPLE

Cider at 8 Brix that falls to 2 Brix has used about 6% of its sugar, and at 15% alcohol it is nearly done.

brix specific gravity hydrometer cider ferment
Butter yield from cream
butter (kg) = cream (L) x 0.09 to 0.11 ; 1 L of double cream gives about 100 g of butter
SYMBOLS · a 500 L churn of cream at 40% fat makes 65-70 kg of butter
UNITS · kg
HOW TO USE

The number to check a cream job against. See Butter And Cheese.

EXAMPLE

10 L of double cream gives about 1 kg of butter, plus the buttermilk left over.

butter cream yield churn kilo
Cheese yield from milk
hard cheese (kg) = milk (L) / 9 to 10 ; soft cheese (kg) = milk (L) / 6
SYMBOLS · the yield depends on the milk fat, the protein and how much whey you leave in
UNITS · kg
HOW TO USE

Cheddar and hard farmhouse cheeses need about 9-10 litres of milk a kilo. A cream cheese or a cottage cheese needs far less. See Butter And Cheese.

EXAMPLE

100 L of milk makes about 11 kg of cheddar and 90 L of whey.

cheese yield milk whey cheddar
Cost per portion
cost per portion = total cost of the batch / number of portions
SYMBOLS · include the ingredients, the fuel and the time; 30 minutes of work is worth putting a figure on
UNITS · per portion
HOW TO USE

For working out what to charge at a gate sale or a market stall, and for seeing which dish actually earns.

EXAMPLE

A batch costing 34 euro that makes 20 portions costs 1.70 a portion.

cost portion pricing market stall
Dough temperature and proofing time
doubling time (hours) = 4 - (dough temperature in C - 20) x 0.75
SYMBOLS · the rule of thumb: each 8 C above 20 C halves the doubling time; below 20 C it roughly doubles
UNITS · hours
HOW TO USE

A warm kitchen gives you a fast loaf and a sour one. The dough temperature at mixing decides how long you wait, not the clock on the wall.

EXAMPLE

Dough at 26 C: 4 - 4.5 = about 2.9 hours to double, roughly half a normal rise.

proofing dough temperature rise sourdough
Drying food and how much you get
dried weight = fresh weight x 0.10 to 0.20 ; herbs dry to about 10%, fruit to about 20%
SYMBOLS · the drier the food, the longer it keeps, but the more flavour and vitamins you lose
UNITS · %
HOW TO USE

For planning a dehydrator run and for expecting how much you will have in the jar at the end of it.

EXAMPLE

10 kg of apples make about 1.5 kg of dried rings.

dehydrating drying weight herbs fruit
Egg weight and count
eggs needed = (weight of egg in the recipe / average egg weight) ; large 60 g, medium 50 g, small 42 g
SYMBOLS · in the kitchen it is 3 large eggs for 100 g of egg; in a baking recipe weigh them
UNITS · eggs, g
HOW TO USE

Weighing the eggs is the only reliable way, because the sizes in one box vary. A big egg in a cake is a wetter cake.

EXAMPLE

A recipe for 3 medium eggs (150 g) needs 3 large eggs (180 g) or 2.8 large eggs, so 3.

eggs weight baking size count
Flour yield from grain
flour % = flour weight / cleaned grain weight x 100 ; wheat gives 70-75%, rye 65-70%, maize 70%, oats 60%
SYMBOLS · the rest is bran and germ, which are the best parts
UNITS · %
HOW TO USE

The number that tells you whether a mill is worth setting up. See Home Milling.

EXAMPLE

100 kg of clean wheat gives about 72 kg of white flour and 28 kg of bran and germ.

milling flour yield bran wheat
Food safety times and temperatures
cold store at 0-5 C, hot hold above 60 C, cook above 70 C, and never leave food in the danger zone (5-60 C) for more than 2 hours
SYMBOLS · the danger zone is where bacteria multiply; cool cooked food fast and fridge it within 2 hours
UNITS · degrees C, hours
HOW TO USE

The whole of food safety in one line. See Food Safety In The Kitchen.

EXAMPLE

A stew left on the table for 3 hours in summer is not safe, however long you then keep it in the fridge.

safety temperature danger zone fridge cooling
Freezer space needed
space (L) = number of portions x 0.4 L for a meat portion, 0.15 L for a pie portion
SYMBOLS · a domestic freezer holds about 200 L of food, or one full harvest from a smallholding
UNITS · litres
HOW TO USE

The honest test of whether you need a bigger freezer or fewer chickens.

EXAMPLE

A 60 kg dressed chicken is about 120 portions of 0.4 L each, so 48 L of freezer space.

freezer space volume storage harvest
Ghee and butter from cream
ghee yield is about 25% of the cream weight ; butter is 10% and the rest is buttermilk and water
SYMBOLS · ghee is made by heating butter until the milk solids brown and the clear fat rises
UNITS · %
HOW TO USE

Ghee keeps for months in a warm kitchen, which is why it is the useful one. See Butter And Cheese.

EXAMPLE

1 kg of cream gives about 100 g of butter and 100 g of ghee if you make the ghee from the butter.

ghee butter cream yield clarified
How long food keeps
chilled at 0-5 C, frozen at -18 C, and every month frozen loses about 5% of its quality
SYMBOLS · 0-5 C is a domestic fridge, -18 C is a domestic freezer; cool cooked food from 60 C to 20 C within 2 hours and to 5 C within 4 hours
UNITS · time
HOW TO USE

The rules that decide what goes in the freezer. Label everything with the date and what it is.

EXAMPLE

A joint frozen for 12 months is still good, but it has lost its water and is better as a stew.

storage freezer chill shelf life label
How much sugar dissolves
at 20 C, about 200 g of sugar dissolves in 100 g of water ; at 100 C, about 487 g
SYMBOLS · a saturated solution at room temperature is about 67% sugar by weight
UNITS · g per 100 g water
HOW TO USE

Anything more and the extra sugar sits at the bottom of the jar. For a simple syrup, dissolve equal weights of sugar and water and stop there.

EXAMPLE

A 1:1 syrup by weight is 50% sugar; a 1:2 syrup by weight is 33%.

sugar solubility syrup saturated preserving
How much to let the dough rise
rise % = (weight after - weight before) / weight before x 100
SYMBOLS · bulk fermentation 30-50% rise, final proof 50-75%, oven spring adds another 20-30%
UNITS · %
HOW TO USE

Weight is the only honest way to judge a rise, because a warm kitchen and a cold one both look different. Mark the bowl or use the scale.

EXAMPLE

800 g of dough that has gone to 1,000 g has risen 25%, which is a third of the way there.

rise proofing bulk percentage weight
Nixtamal for maize tortillas
maize to lime water: 1 kg of maize per litre of water with 15-20 g of lime, soaked 12-16 hours
SYMBOLS · the nixtamal is the ground maize, and it goes stale quickly, so make it the same day
UNITS · ratio
HOW TO USE

Lime makes the maize release its niacin, which is the whole point of treating it. See Flint Corn And Popcorn.

EXAMPLE

1 kg of maize and 1 L of water with 15 g of lime makes about 1.1 kg of nixtamal.

nixtamal maize tortilla lime niacin
Oil and fat in a dough
a dough takes up about 15-20% of the oil's weight in fat ; a shortcrust pastry takes 20-25%
SYMBOLS · a dough with 100 g of oil and 500 g of flour will end up with about 15 g of oil in every 100 g of dough
UNITS · %
HOW TO USE

How to work out how much fat ends up in a pie crust, and how to make it flaky instead of short. See Pastry And Pies.

EXAMPLE

A 500 g flour, 200 g butter pastry will have about 18% fat by weight.

oil butter dough pastry fat
Popcorn yield
popped volume (L) = dry maize (kg) x 30 to 40 ; 1 kg of dry popcorn makes about 30 litres popped
SYMBOLS · only flint corn pops; a good popping ratio is 40:1
UNITS · L per kg
HOW TO USE

The test of a good flint variety, and the reason some maize will not pop at all. See Flint Corn And Popcorn.

EXAMPLE

200 g of popcorn makes about 7 litres of popped corn, which fills a large bowl.

popcorn maize yield flint volume
Refreshing a sourdough starter
starter to add (g) = flour weight x hydration x 0.1 to 0.2 of the starter's total weight
SYMBOLS · a 1:5:5 starter is 20% ripe starter; a 1:10:10 is 10%
UNITS · g
HOW TO USE

A 1:5:5 feed doubles in 4-6 hours at 24 C. A 1:10:10 takes 8-12 hours and tastes less sour.

EXAMPLE

100 g of ripe starter at 100% hydration is 50 g flour and 50 g water, so it makes 100 g of dough weight.

starter refresh feed sourdough ratio
Resting meat after cooking
resting time (minutes) = 10 to 20 for a joint, 5 for a steak, 30 for a whole bird
SYMBOLS · roughly half the cooking time
UNITS · minutes
HOW TO USE

Resting lets the juice spread back into the meat. Cut it early and the juice ends up on the board.

EXAMPLE

A 90 minute roast rests for 30 minutes before carving.

rest meat juice roast carving
Rice water ratio and absorption
white rice 1:1.5 by weight, brown rice 1:2, and pulao 1:1.75 ; after cooking the rice weighs 2.5 to 3 times the dry weight
SYMBOLS · the ratio is by weight of dry rice to water, not by volume
UNITS · ratio by weight
HOW TO USE

Weigh the rice and the water and the result is the same every time. Salt the water, and let it rest before you cook it.

EXAMPLE

500 g of rice with 750 ml of water makes about 1.6 kg of cooked rice.

rice water ratio cooking absorption
Salt for a vegetable ferment
salt = vegetable weight x 0.02 for a 2% ferment ; the weight of the salt counts towards the total
SYMBOLS · 2% salt and 2% garlic or herbs is a good starting point; cabbage for kraut is 1.5-2%
UNITS · % by weight
HOW TO USE

Weigh the vegetables, then weigh the salt. Too much salt stops the ferment, too little lets mould in. See Kraut And Kimchi.

EXAMPLE

2 kg of cabbage at 2% is 40 g of salt, and the finished jar weighs 2.04 kg before the water.

ferment salt kraut vegetable weight
Salt in bread
salt % = (salt weight / flour weight) x 100 ; 2% is the usual 20 g a kilo of flour
SYMBOLS · salt strengthens the gluten, controls the ferment and makes the crust better; it also slows the dough
UNITS · %
HOW TO USE

More salt does not mean better bread, it means a firmer crumb and a slower rise. Never add salt straight onto a wild yeast starter.

EXAMPLE

20 g of salt on 1 kg of flour is 2%.

salt bread gluten flour ferment
Scaling a recipe up or down
new weight = old weight x (target yield / current yield)
SYMBOLS · work out the factor from the yield, not from the number of people, and scale the seasoning by the same factor
UNITS · factor
HOW TO USE

The quickest kitchen arithmetic. Divide by the factor for a smaller batch, and remember that a double batch does not cook in double the time.

EXAMPLE

A recipe for 6 with 300 g of flour, baked for 25 minutes: for 4, multiply by 0.67, so 200 g of flour and about 20 minutes.

scaling recipe yield batch cooking
Smoking times and temperatures
hot smoke 60-80 C, cold smoke 20-30 C ; 6-12 hours for a sausage, 4-6 for bacon, 12-20 for a whole cheese
SYMBOLS · the internal temperature matters more than the clock: sausages 70 C, bacon 65 C, cheese 40 C
UNITS · hours, degrees C
HOW TO USE

Smoking is about getting the smoke into the meat and holding the temperature. See Curing Bacon And Sausages.

EXAMPLE

A rolled bacon of 2 kg takes about 10 hours of hot smoking at 70 C.

smoking salmon bacon sausage time
Substituting sugar with honey or syrup
for every 100 g of sugar use 75-85 g of honey, or 100 g of syrup
SYMBOLS · honey adds moisture and flavour, so cut the water in the recipe by 20 g for every 100 g of honey used
UNITS · g
HOW TO USE

Honey is about 80% sugar and 20% water, and it is stickier, so cakes brown more and keep longer. Reduce the liquid in any recipe where you swap it in.

EXAMPLE

A cake with 150 g of sugar takes 120 g of honey and 30 g less water.

honey sugar substitution cake sweetener
Sugar for jam and preserves
sugar = fruit weight x 0.5 to 0.7 for a jam, x 1 for a preserving syrup
SYMBOLS · the more pectin in the fruit, the less sugar you need
UNITS · by weight
HOW TO USE

High pectin fruits like gooseberries and redcurrants need less sugar. Soft fruit such as strawberries need more, and more sugar means a firmer set.

EXAMPLE

2 kg of gooseberries with a litre of water needs about 1 kg of sugar.

jam sugar pectin fruit preserves
Tempering chocolate
melt to 45-50 C for milk, 40-45 C for white, 45-50 C for dark, then cool to 27-28 C (dark) or 29-31 C (milk)
SYMBOLS · the final working temperature for dark is 31-32 C
UNITS · degrees C
HOW TO USE

Good tempering gives a snap and a shine. A bad one gives a grey dull surface and blooms later. See Working With Chocolate.

EXAMPLE

Dark chocolate at 45 C cooled to 31 C and worked back to 32 C sets with a shine.

chocolate tempering melting bloom slate
Vinegar for pickling
a 5% acid vinegar is 50 g of acetic acid a litre ; for safe pickling use 5% vinegar or a 10% salt brine
SYMBOLS · do not dilute vinegar below 5% for shelf-stable pickles
UNITS · %
HOW TO USE

The acid does the preserving. If you cannot get a 5% vinegar, make a brine pickle instead. See Kraut And Kimchi.

EXAMPLE

500 ml of 5% vinegar covers 1 kg of vegetables, but submerge them fully.

vinegar acid pickle brine preserving
Yoghurt, kefir and cultured milk
1 L of milk makes about 1 kg of yoghurt ; use 2 tablespoons of starter per litre and keep it at 40-45 C for 6-12 hours
SYMBOLS · the same weight in and out, with the water evaporating or being drawn off as whey
UNITS · kg, hours
HOW TO USE

Warm the milk to 45 C, cool to 40 C, add the starter and keep it warm. See Yoghurt And Kefir.

EXAMPLE

5 L of milk at 45 C with 100 ml of starter, kept at 45 C for 8 hours, gives about 5 kg of yoghurt.

yoghurt kefir starter milk ferment
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