Recipe scaling calculator
Scaling by servings is a straight ratio for ingredients. Tin area, cooking time and seasoning do not scale the same way, and the calculator says so.
cm
Scaled quantity
375.00
- Scaling factor
- 1.5000
- As a percentage of the original
- 150.0 %
- Tin diameter for the same depth
- 24.49 cm
- Rough cooking-time multiplier A weak power law, not a rule. Always check for doneness.
- 1.129
Show the working
- Original servings = 4
- Servings you want = 6
- Quantity of one ingredient = 250
- Original tin diameter = 20
- Scaling factor = 6 / 4 = 1.5
- Scaled quantity = 250 * 1.5 = 375
- As a percentage of the original = 1.5 * 100 = 150
- Tin diameter for the same depth = 20 * sqrt(1.5) = 24.4949
- area_ratio = 1.5 = 1.5
- Rough cooking-time multiplier = 1.5^0.3 = 1.129 35
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- scaled quantity = original x target servings / original servings
- to keep the same batter depth, tin diameter scales with the square root of the factor
Salt, spices, leavening and alcohol rarely scale linearly. Scale them at about three quarters of the factor and adjust to taste.
Doubling a cake does not double its baking time. A bigger, deeper tin needs a lower temperature and a longer bake.
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