Percent Equations

**Percent Equations**

Use multiplication to find the percent of a number when the percent and the original number (a.k.a. "base") are given.

Example:

**Find 3% of $15,000.**

Steps:

1. Confirm the percent and the base are given.

2. Convert the percentage to a decimal or fraction with a denominator of 100.

(In most cases, converting the percentage to a decimal makes multiplication easier)3. Multiply these numbers to find the new amount.

The amount is $450.

**Percent Equations **

The basic percent equation is:

Percent × Base Number = New Number

Also, certain English words have the following mathematical symbols:

*of*is written as "×"*(multiplication)**is*is written as "*=*"*(equals)**what*is written as "*n*"*(the unknown number)*

Example

What is 5% of 20?

*n* = 5% × 20

*n* = 0.05 × 20

*n* = 1

You can find a percent when the base and amount are given by using the formula:

Example

**What percent of 4 is 3?**

Percent × base = amount

n× 4 = 3

You can find the base number when the percent and amount are given by using the following formula:

Percent × Base Number = New Number

Example15% of what is $300?

Percent × base = amount

15% ×

n= 3000.15 ×

n= 300

n= $2000

**Using a Proportion**

You can also use a proportion to solve a percent problem. The percent is written as a ratio , and the other ratio is expressed as , or . Set the ratios equal and solve.

**Example**

Solution

** **

This year's budget is $3,400.