Recipe Scaling Calculator

Recipe Scaling Calculator adjusts ingredient amounts, scaling factor, and accuracy for recipes based on servings and unit type for easy cooking adjustments.

Original Servings:

Desired Servings:

Ingredient Amount:

Unit Type:

Formulas Used in Recipe Scaling Calculator

The calculator uses the following formulas to adjust recipe quantities:

Scaled Ingredient Amount:

\\[ A_s = A_o \cdot \frac{S_d}{S_o} \\]

Scaling Factor:

\\[ F_s = \frac{S_d}{S_o} \\]

Conversion Accuracy:

\\[ C_a = \min\left(100 \cdot \frac{1}{\sqrt{|S_d – S_o| \cdot U_m}}, 100\right) \\]

Where:

\\( A_s \\): Scaled ingredient amount (in original units)
\\( A_o \\): Original ingredient amount
\\( S_d \\): Desired servings
\\( S_o \\): Original servings
\\( F_s \\): Scaling factor (unitless)
\\( C_a \\): Conversion accuracy (%)
\\( |S_d – S_o| \\): Absolute difference in servings
\\( U_m \\): Unit multiplier (Cups: 1.0, Teaspoons: 1.0, Grams: 0.8, Count: 1.2)

Example Calculations

Example 1: Small Scale-Up, Volume Unit (Cups)

Input: Original Servings = 4, Desired Servings = 6, Original Ingredient Amount = 2 cups, Unit Type = Cups

\\[ A_s = A_o \cdot \frac{S_d}{S_o} = 2 \cdot \frac{6}{4} = 3 \ \text{cups} \\] \\[ F_s = \frac{S_d}{S_o} = \frac{6}{4} = 1.5 \\] \\[ C_a = \min\left(100 \cdot \frac{1}{\sqrt{|S_d – S_o| \cdot U_m}}, 100\right) = \min\left(100 \cdot \frac{1}{\sqrt{|6 – 4| \cdot 1.0}}, 100\right) = 70.71 \ \% \\]

Result: Scaled Ingredient Amount: 3 cups, Scaling Factor: 1.5, Conversion Accuracy: 70.71%

Example 2: Moderate Scale-Down, Weight Unit (Grams)

Input: Original Servings = 10, Desired Servings = 5, Original Ingredient Amount = 500 grams, Unit Type = Grams

\\[ A_s = A_o \cdot \frac{S_d}{S_o} = 500 \cdot \frac{5}{10} = 250 \ \text{grams} \\] \\[ F_s = \frac{S_d}{S_o} = \frac{5}{10} = 0.5 \\] \\[ C_a = \min\left(100 \cdot \frac{1}{\sqrt{|S_d – S_o| \cdot U_m}}, 100\right) = \min\left(100 \cdot \frac{1}{\sqrt{|5 – 10| \cdot 0.8}}, 100\right) = 50 \ \% \\]

Result: Scaled Ingredient Amount: 250 grams, Scaling Factor: 0.5, Conversion Accuracy: 50%

Example 3: Large Scale-Up, Count Unit (Count)

Input: Original Servings = 2, Desired Servings = 20, Original Ingredient Amount = 3 count, Unit Type = Count

\\[ A_s = A_o \cdot \frac{S_d}{S_o} = 3 \cdot \frac{20}{2} = 30 \ \text{count} \\] \\[ F_s = \frac{S_d}{S_o} = \frac{20}{2} = 10 \\] \\[ C_a = \min\left(100 \cdot \frac{1}{\sqrt{|S_d – S_o| \cdot U_m}}, 100\right) = \min\left(100 \cdot \frac{1}{\sqrt{|20 – 2| \cdot 1.2}}, 100\right) = 23.57 \ \% \\]

Result: Scaled Ingredient Amount: 30 count, Scaling Factor: 10, Conversion Accuracy: 23.57%

Formulas Used in Recipe Scaling Calculator

Example Calculations

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