Introduction Introduction # Percentages

INTRO
The word percentage comes from the word percent, which means "per ." In other words, a percent tells us what amount out of we have.
Percentages are often used for grades. For example, if we get out of questions correct, our grade percentage would be . The percentage tells us how much of the test we got correct if the test were split into questions.
If we got a on a question test, then we got out of questions right.
In general, percentage problems involve proportions (equivalent ratios) between a given percent and a given part of a whole.
So a percentage problem like is really asking us, "What amount out of is equal to out of ?"

### What is a proportion?

A proportion is an equation that lets us know two ratios (or fractions) are equal.
For example:
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CALCULATOR

What is of?
KEY STEPS

## How to Calculate Percentages

### Step 1. Change the percent into a fraction.

The percent tells us an amount out of . Remove the percent sign and place the number over .

### Step 2. Set up the proportion.

The percent over is equal to the part over the whole. Use a variable like for the value you're solving for.

### Step 4. Solve for the unknown.

LESSON
Calculating Percentages

## Calculating Percentages

Since percentages are just fractions out of , we can use proportions to solve problems involving percentages:If we're solving for the , then our proportion looks like this:

### The Percent Formula

If we multiply both sides by to get the percent by itself:We end up with the percent formula:
Let’s walk through some step-by-step examples of percentage problems!
PRACTICE
Calculating Percentages

## Practice: Calculating Percentages

Question 1 of 10: What is of ?

### Step 1. Change the percent into a fraction.

The percent tells us an amount out of . Remove the percent sign and place the number over .

CONCLUSION
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