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Games & Sports

Recipe Scaler

Scale recipe ingredients up or down. Free online Recipe Scaler. Calculate recipe scaler online — fast, accurate, mobile-friendly, no signup needed.

New amount
3

Derivation

  1. ├── 01Givenamount = 2, servings_old = 4, servings_new = 6
  2. ├── 02Formulat × e.servings_new / a
  3. ├── 03Substitutet × e.6 / a
  4. └── 04Compute New amount3
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§01What is

Understanding the Recipe Scaler

The Recipe Scaler computes New amount from 3 inputs: original amount, original servings, target servings. Scale recipe ingredients up or down.

Games and puzzles mix math with pattern-spotting. Whether it’s a lottery combination, a dice probability, or a game-theory decision, the numbers behind the fun are worth running properly. The Recipe Scaler sits in that toolkit — it scale recipe ingredients up or down. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

t × e.servings_new / a

Where

amount
Original amount
servings_old
Original servings
servings_new
Target servings
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Original amount = 2, Original servings = 4, Target servings = 6.

  1. 01Start by noting the input — Original amount: 2.
  2. 02Start by noting the input — Original servings: 4.
  3. 03Start by noting the input — Target servings: 6.
  4. 04Substitute these values into the formula: t × e.servings_new / a
  5. 05Compute New amount: the calculator returns 3.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Recipe Scaler Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Original amount halved

amount = 1 (from 2)

Keep every other input at its default and halve the original amount. See how new amount responds.

  1. 01New Original amount: 1
  2. 02Baseline New amount: 3
  3. 03New New amount: 1.5
  4. 04New amount decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Original amount doubled

amount = 4 (from 2)

Keep every other input at its default and double the original amount. See how new amount responds.

  1. 01New Original amount: 4
  2. 02Baseline New amount: 3
  3. 03New New amount: 6
  4. 04New amount increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Original servings halved

servings_old = 2 (from 4)

Keep every other input at its default and halve the original servings. See how new amount responds.

  1. 01New Original servings: 2
  2. 02Baseline New amount: 3
  3. 03New New amount: 6
  4. 04New amount increases by 100% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Original servings doubled

servings_old = 8 (from 4)

Keep every other input at its default and double the original servings. See how new amount responds.

  1. 01New Original servings: 8
  2. 02Baseline New amount: 3
  3. 03New New amount: 1.5
  4. 04New amount decreases by 50% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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