**Q: How do you solve percent problems using proportions?**

A: Generally, there are 3 main parts to a percent problem: the percent, the part and the total.

The set up is the same for all problems:

**part/total = percent/100**

(remember, percent means per 100, so it is always out of 100)

**Example 1: Finding the percent:**

**What percent is 75 of 85?**

Set-up

75/85 = x/100

Cross multiply:

75*100 = 85*x

7500 = 85x

7500/85 = x

88.235% = x

So, 75 is 88.235% of the number 85.

**Example 2: Finding the “part”:**

**What is 76% of 50?**

Set-up

x/50 = 76/100

Cross multiply:

100x = 76*50

100x = 3800

x = 3800/100

x = 38

So, 76% of 50 is 38.

**Example 3: Finding the “total”:**

**60 is 24% of what number?**

Set-up

60/x = 24/100

Cross multiply:

24x = 60*100

24x = 6000

x = 6000/24

x = 250

So, 60 is 24% of the number 250.