## Working with Percents

- Percents can be converted into multipliers by changing them into their decimal form to easily calculate a percentage of a number.
- To solve for an unknown in percentage problems, replace the unknown with a variable and translate the problem into an equation using the percent as a multiplier.
- When finding what percent one number is of another, set up an equation with the unknown percent as a variable, solve, and remember to convert the decimal back to a percentage.
- For percentages that are easily represented as fractions (e.g., 50%, 25%), it can be simpler to convert the percent to a fraction to solve the problem.
- Practice problems are provided to apply these strategies and reinforce understanding.

**Solutions to the Practice Problems:**

**1) What is 60% of 60 **

Let's translate this into a simple equation.

**What --> "x" or what we are trying to find.**

**is --> "="**

**60% --> 60/100 or .6**

**of --> " *" **

x = .6 * 60

**x = 36**

So all we did was multiply 0.6*60 and we get 36 as our answer.

**2) ****52 is 40% of what number?**

**is --> "="
**

**40% --. 40/100 or .4**

**of --> " * "**

**what number --> x**

**52 = .4 * x**

We divide both sides by 0.4 and we get X = 52/0.4 = **130**

Let's do a check and make sure we did everything right.

**3) 18 is what percent of 45?**

Before we do anything math let's do a ball park. We know that half of 45 is 22.5 So without doing any math/computation we know that 50% of 45 is 22.5 so 18 is going to be less than 50>#/p###

**is --> " ="**

**what percent --> x/100 **

**of --> "*"**

**18 = (x/100) * 45**

18/45 = x/100

.4 = x/100

**40 = x**

**So 18 is 40% of 45. **

Notice we can simply divide 18 by 45 to get .4

.4 is 40% in decimal form.

**4) What is 50% of 128? [64]**

This one you're just dividing 128 by 2.

x = .5 * 128 or 128/2

128/2 = **64**