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Expressing Percentages in Decimal Form
Jane found the following soap formula online but it's in percentages. She wants to convert the formula to a recipe, so she can make a 2lb batch (32 ounces) of soap.
Lard 50%
Olive Oil 15%
Coconut Oil 15%
Soybean Oil 10%
Sunflower Oil 5%
Castor Oil 5%
Step 1:
Make certain that all percentages of the above ingredients total 100%.
50 + 15 + 15 + 10 + 5 + 5 = 100
Step 2:
Express each percentage in its decimal form and multiply by 32 ounces.
To express a percentage in decimal form: drop the percent symbol and divide by 100.
Example: 50% -> 50 ÷ 100 = 0.50
For 50% Lard:
50% = 0.50 in decimal form
Multiplied by 32 ounces
0.50 x 32.0 = 16.0 ounces -> Lard (50%) = 16.0 ounces
For 15% Olive Oil:
15% = 0.15 in decimal form
Multiplied by 32 ounces
0.15 x 32.0 = 4.8 ounces -> Olive Oil (15%) = 4.8 ounces
For 15% Coconut Oil:
15% = 0.15 in decimal form
Multiplied by 32 ounces
0.15 x 32.0 = 4.8 ounces -> Coconut Oil (15%) = 4.8 ounces
For 10% Soybean Oil:
10% = 0.10 in decimal form
Multiplied by 32 ounces
0.10 x 32.0 = 3.2 ounces -> Soybean Oil (10%) = 3.2 ounces
For 5% Sunflower Oil:
5% = 0.05 in decimal form
Multiplied by 32 ounces
0.05 x 32.0 = 3.2 ounces -> Sunflower Oil (15%) = 1.6 ounces
For 5% Castor Oil:
5% = 0.05 in decimal form
Multiplied by 32 ounces
0.05 x 32.0 = 3.2 ounces -> Castor Oil (15%) = 1.6 ounces
The above are ounces required for each ingredient.
Step 3:
Recheck your work by adding all calculated ounces. All calculated ounces should total 32 ounces:
16.0 + 4.8 + 4.8 + 3.2 + 1.6 + 1.6 = 32
Step 4:
Using the above method, Jane found the required amounts for each ingredient of the above formula.
16.0 oz: Lard
4.8 oz: Olive Oil
4.8 oz: Coconut Oil
3.2 oz: Soybean Oil
1.6 oz: Sunflower Oil
1.6 oz: Castor Oil
Expressing Decimals in Percentage Form
Betty found a recipe online and is interested in knowing what the percentage of each ingredient is.
16.0 oz: Lard
4.8 oz: Olive Oil
4.8 oz: Coconut Oil
3.2 oz: Soybean Oil
1.6 oz: Sunflower Oil
1.6 oz: Castor Oil
Step 1:
Add all the weights of each ingredient in the above recipe.
16.0 + 4.8 + 4.8 + 3.2 + 1.6 + 1.6 = 32.0
Step 2:
Divide each ingredient's weight by the total weight of all oils. Then convert from decimal form to percentage.
To express a decimal in percentage form: Multiply the number in decimal form by 100.
Example: 0.50 x 100 = 50 -> 50%
For 16.0oz Lard:
16.0 ÷ 32.0 = 0.50 in decimal form
0.50 in percentage = 50% -> Lard = 50%
For 4.8oz Olive Oil:
4.8 ÷ 32.0 = 0.15 in decimal form
0.15 in percentage form = 15% -> Olive Oil = 15%
For 4.8oz Coconut Oil:
4.8 ÷ 32.0 = 0.15 in decimal form
0.15 in percentage form = 15% -> Coconut Oil = 15%
For 3.2oz Soybean Oil:
3.2 ÷ 32.0 = 0.10 in decimal form
0.10 in percentage form = 10% -> Soybean Oil = 10%
For 1.6oz Sunflower Oil:
1.6 ÷ 32.0 = 0.05 in decimal form
0.05 in percentage form = 5% -> Sunflower Oil = 5%
For 1.6oz Castor Oil:
1.6 ÷ 32.0 = 0.05 in decimal form
0.05 in percentage form = 5% -> Castor Oil = 5%
Step 3:
Recheck your work by adding all calculated percentages. All calculated percentages should total 100%:
50 + 15 + 15 + 10 + 5 + 5 = 100
Step 4:
Using the above method, Betty found the percentage of each ingredient in the above recipe.
Lard 50%
Olive Oil 15%
Coconut Oil 15%
Soybean Oil 10%
Sunflower Oil 5%
Castor Oil 5%
Tip:
Formulas are based on percentages while recipes are based on weight.
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