# Thread: How to calculate percentage of and ingredient in a recipe

1. ## How to calculate percentage of and ingredient in a recipe

How does one calculate the amount of an ingredient needed in a recipe if the amount is given in percentage to another ingredient?

What is the methodology?

For example: use 5% cocoa butter to 16 oz of cocoa nibs. How many oz. of cocoa butter is needed? (I'm trying to make chocolate from scratch).

Thanx

2. Originally Posted by WileEwonka
How does one calculate the amount of an ingredient needed in a recipe if the amount is given in percentage to another ingredient?

What is the methodology?

For example: use 5% cocoa butter to 16 oz of cocoa nibs. How many oz. of cocoa butter is needed? (I'm trying to make chocolate from scratch).

Thanx
I think if you only have 2 ingredients, cocoa butter and cocoa nibs, then 1 - 0.05 = 95% is the amount of nibs you have. So, we have a proportion of ounces to percentage:

$\frac {x}{5} = \frac {16}{95}$ where x = # of ounces of cocoa butter you need.

From here, we show the math work --> Proportions

If 2 proportions are equal to each other, then we have:
Numerator 1 * Denominator 2 = Denominator 1 * Numerator 2

Solving for Numerator 1 we get:
Numerator 1 = (Denominator 1 * Numerator 2) / Denominator 2

Evaluating and simplfying using your input values, we get:
x = $\frac {(5 * 16)}{95}$

x = $\frac {80}{95}$

x = 0.8421052631578947 ounces

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