# Using Proportions To Solve Percent Problems

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We then extend the fraction by 100 to get the decimal in percent. $$0.27\rightarrow \frac\cdot 100=\frac\: \: or\: \: 27\%$$ Percent è decimal: write the percent as a fraction with the denominator 100.

Remember that percent originally meant "cent", or if you prefer, "part(s) out of 100." If we keep this in mind, it's a lot easier to set up a proportion.

In a percent problem, the base represents how much should be considered 100% (the whole); in exponents, the base is the value that is raised to a power when a number is written in exponential notation. Since the percent is the percent off, the amount will be the amount off of the price.

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.

Percent problems can also be solved by writing a proportion.

A proportion is an equation that sets two ratios or fractions equal to each other.

A proportion is an equation that says that two or more ratios are equal.

For instance if one package of cookies contain 20 cookies that would mean that 2 packages contain 40 cookies $$\frac=\frac$$ A proportion is read as "x is to y as a is to b".

Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

Example In a box of eight donuts two have pink sprinkles.

## Comments Using Proportions To Solve Percent Problems

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