Calculator of Alexandria

Recipe scaling calculator

Scale a recipe up or down to any number of servings, with every ingredient converted, plus tips on what doesn't scale.

Ingredients

IngredientAmountUnitRemove
Scale factorkk

Formula

k=s2s1k = \frac{s_2}{s_1}
How it's derived

The formula

k=s2s1k = \frac{s_2}{s_1} new amount=k×old amount\text{new amount} = k \times \text{old amount}

s1s_1 is the number of servings the recipe makes, s2s_2 the number you want and kk the scale factor.

Where it comes from

A recipe is a set of proportions. If 250 g of flour serves 4, each serving takes 250/4=62.5250/4 = 62.5 g. For 6 servings you need 6×62.5=3756 \times 62.5 = 375 g. Doing that for every ingredient is the same as multiplying each one by 6/4=1.56/4 = 1.5.

That single factor keeps every ratio in the recipe the same, which is what keeps it tasting the same.

Worked example

A pancake recipe for 4, scaled to 6, so k=1.5k = 1.5:

IngredientFor 4For 6
Flour250 g375 g
Milk300 mL450 mL
Eggs23
Butter2 tbsp3 tbsp

What doesn’t scale linearly

  • Eggs. Round to whole eggs, or beat one and use part of it.
  • Baking time. A bigger cake in a deeper pan takes longer, but not 1.5 times longer. Check early and often.
  • Pan size. Doubling a recipe in the same pan makes it twice as deep. Use a pan with about kk times the area.
  • Salt, spices and leavening. These can taste stronger in very large batches. Scale them and adjust to taste.
  • Evaporation. Sauces in a wider pot reduce faster.

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