CALCULATOR

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## Percentage Calculator

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INTRO

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The word percentage comes from the word percent, which means "per $100$." In other words, a percent tells us what amount out of $100$ we have.A proportion is an equation that lets us know two ratios (or fractions) are equal.

Percentages are often used for grades. For example, if we get $9$ out of $10$ questions correct, our grade percentage would be $90%$.

The percentage tells us how much of the test we got correct if the test were split into $100$ questions.If we got a on a $10$ question test, then we got $9$ out of $10$ questions right.

$90%=10090 $$=$$109 =9out of10$$=$

In general, percentage problems involve proportions (equivalent ratios) between a given percent and a given part of a whole.

$100percent =wholepart $So a percentage problem like is really asking us, "What amount out of $100$ is equal to $4$ out of $8$?"

$100x x =84 =50 $### What is a proportion?

For example:

$84 =21 $Check out our or explore our and sections to learn more about percentages and test your understanding.

Calculator

Lesson

Practice

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KEY STEPS

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## How to Calculate Percentages

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

The percent tells us an amount out of $100$. Remove the percent sign and place the number over $100$.

### Step 2. Set up the proportion.

The percent over $100$ is equal to the part over the whole. Use a variable like $x$ for the value you're solving for.

$100percent =wholepart $### Step 3. Cross-multiply.

$percent×whole=part×100$### Step 4. Solve for the unknown.

LESSON

— Calculating Percentages

PRACTICE

— Calculating Percentages

CONCLUSION

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