# Solving Percent Problems Using Proportions

Using the vocabulary we used earlier: $$\begin \frac & = \frac \ \frac & = \frac \end$$ (a) After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

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In the example of 5The amount is the number that relates to the percent. Once you have an equation, you can solve it and find the unknown value.

To do this, think about the relationship between multiplication and division.

Find a percentage or work out the percentage given numbers and percent values. The formulas below are all mathematical variations of this formula. X and Y are numbers and P is the percentage: There are nine variations on the three basic problems involving percentages.

Use percent formulas to figure out percentages and unknowns in equations. See if you can match your problem to one of the samples below.

Look at the pairs of multiplication and division facts below, and look for a pattern in each row.

Percent problems can also be solved by writing a proportion.

Example 47% of the students in a class of 34 students has glasses or contacts.

How many students in the class have either glasses or contacts?

Convert from percentage to decimals with the Percent to Decimal Calculator.

If you need to convert between fractions and percents see our Fraction to Percent Calculator, or our Percent to Fraction Calculator. "Percent." From Math World -- A Wolfram Web Resource.

## Comments Solving Percent Problems Using Proportions

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