# Using Proportions To Solve Percent Problems

In previous lessons, you were shown how to convert a decimal to a percent and a percent to a decimal.Thus, if you were asked to Find 15% of 120, you would multiply .15 by 120, to get an answer of 18.

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In fact we always use the same label of when we set ours up.

So they are easier to compare than fractions, as they always have the same denominator, 100. The amount saved is always the same portion or fraction of the price, but a higher price means more money is taken off.

Perhaps you thought 18 was the percent and 125 was the base.

The correct percent fraction for the proportion is Jeff has a coupon at the Guitar Store for 15% off any purchase of $100 or more. Interest rates on a saving account work in the same way. ## Using Proportions To Solve Percent Problems The more money you put in your account, the more money you get in interest.$$\frac=\frac$$ Fractions, percent and decimals can all represent the same number, but they are expressed differently.Decimal è percent: We can convert decimals into percent by writing the decimal as a fraction with the denominator 1.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.It’s helpful to understand how these percents are calculated.Jeff has a coupon at the Guitar Store for 15% off any purchase of 0 or more.We then extend the fraction by 100 to get the decimal in percent.$[[

The more money you put in your account, the more money you get in interest.

$$\frac=\frac$$ Fractions, percent and decimals can all represent the same number, but they are expressed differently.

Decimal è percent: We can convert decimals into percent by writing the decimal as a fraction with the denominator 1.

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.

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The more money you put in your account, the more money you get in interest.$$\frac=\frac$$ Fractions, percent and decimals can all represent the same number, but they are expressed differently.Decimal è percent: We can convert decimals into percent by writing the decimal as a fraction with the denominator 1.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.It’s helpful to understand how these percents are calculated.Jeff has a coupon at the Guitar Store for 15% off any purchase of $100 or more.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.With percent problems, one of the ratios is the percent, written as Incorrect.You probably put the amount (18) over 100 in the proportion, rather than the percent (125). ]].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.With percent problems, one of the ratios is the percent, written as Incorrect.You probably put the amount (18) over 100 in the proportion, rather than the percent (125).

## Comments Using Proportions To Solve Percent Problems

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