FINAL TOOLBOX
03 // Bidirectional STEM Calculators // EVERYDAYQ_new = Q_orig × (S_new / S_orig)

Culinary Recipe Portion & Baker's Yield Scaler

Proportional recipe scaling preserves baker's hydration and flavor ratios by multiplying every original ingredient weight Q_orig by the yield conversion factor (S_new / S_orig).

Q_new = Q_orig × (S_new / S_orig)
Pick which value you want to calculate (or type into any field):Solving for: Q_new — Scaled Ingredient Amount
Calculated

Adjusted ingredient weight or volume for the new yield

0.1100,000.00
unit

Baseline ingredient amount in the source recipe

0.1100,000.00
unit

Desired number of portions or pan area

11,000.00
unit

Portions yielded by the original recipe

11,000.00
unit
Calculated Result · Scaled Ingredient Amount (Q_new)
750

Step-by-Step Calculation

01Canonical Law: Q_new = Q_orig × (S_new / S_orig)
02Given Inputs (Base Units): Q_orig = 300, S_new = 10, S_orig = 4
03Solve for Q_new (Scaled Ingredient Amount): Q_new = 750

Proportional recipe scaling preserves baker's hydration and flavor ratios by multiplying every original ingredient weight Q_orig by the yield conversion factor (S_new / S_orig).

Real-World Reference Values

Recipe Scaling MultiplierS_new / S_orig = 2.50×

Multiply all ingredients by this constant factor

Baker's Percentage (Flour = 100%)Set S_orig = 100, S_new = Flour (g)

Converts baker's % Q_orig directly into grams Q_new

Round Cake Pan Area ScalingUse D_new² / D_orig²

A 10-inch pan has 100/64 = 1.56× the area of an 8-inch pan

20-Row Comparison Table

Scaled Ingredient Amount (Q_new) · Original Recipe Ingredient Amount (Q_orig)

Culinary Recipe Portion & Baker's Yield Scaler — Original Recipe Ingredient Amount → Scaled Ingredient Amount
#Original Recipe Ingredient Amount (Q_orig)Scaled Ingredient Amount (Q_new)Δ %
01300 Current750 0.00%
02739.5677 1,848.92 +146.52%
031,479.04 3,697.59 +393.01%
042,218.50 5,546.26 +639.50%
052,957.97 7,394.93 +885.99%
063,697.44 9,243.60 +1132.48%
074,436.91 11,092.27 +1378.97%
085,176.37 12,940.93 +1625.46%
095,915.84 14,789.60 +1871.95%
106,655.31 16,638.27 +2118.44%
117,394.78 18,486.94 +2364.93%
128,134.24 20,335.61 +2611.41%
138,873.71 22,184.28 +2857.90%
149,613.18 24,032.95 +3104.39%
1510,352.65 25,881.62 +3350.88%
1611,092.12 27,730.29 +3597.37%
1711,831.58 29,578.96 +3843.86%
1812,571.05 31,427.63 +4090.35%
1913,310.52 33,276.30 +4336.84%
2014,049.99 35,124.97 +4583.33%
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Frequently Asked Questions

How do I scale a recipe when I only have a limited amount of one key ingredient?+

Click SOLVE FOR on S_new (Target Servings), enter the recipe's required amount as Q_orig and what you have on hand as Q_new.

How can I use this as a Sourdough Baker's Percentage calculator?+

Set S_orig = 100 and S_new to your total flour weight in grams (e.g., 1000 g). Then any baker's percentage entered in Q_orig (e.g., 72% water) outputs 720 g in Q_new.

Do baking times scale linearly when doubling a batch in a single deep pan?+

No. Ingredient masses scale linearly, but heat conduction time scales roughly with the square of batter depth.