# Online Pre-Algebra Tutoring: Percentages

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## Learn Â Percentages Â from Certified Online Pre-Algebra Tutor

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, **“%”** .We use the percent symbol **(%)** to express percent.

### Steps to find the percent of a number:

â€¢Multiply the number by the percent

â€¢Divide the answer by 100 (Move decimal point two places to the left)

â€¢Round to the desired precision

### Letâ€™s understand with an example

### 1. Find 16% of $1600

**Solution:**

16% of $1600

= 16/100 Ã— 1600

= **$256**

A percent is 1 part out of 100.

1% is equal to 1/100 or 0.01.

### Proportions can be used to solve percent problems:

â€¢Set up a proportion that uses the percent over 100.

â€¢Cross multiply to write an equation.

â€¢Solve the equation.

### Letâ€™s understand with an example

#### 1. What is 80% of 15?

The whole is 15.

The percent is 80%.

Let n represent the part.

Write a proportion to solve for n.

**80% of 15 is 12.**

### Check Point

**a) **What is 250% of 70?

**b) **What is 67% of 105?

**c) **The art club had an election to select a president. 60% of the 200 members of the club voted in the election. How many members voted?

**d) **Kelly’s Burgers cooks its burgers either well done or medium. The restaurant served 20 burgers last night, 85% of which were well done. How many well-done burgers did the restaurant serve?

**e) **Ben brought chocolate and vanilla cupcakes to school for his birthday. 70 students decided to take a cupcake, and 90% of them picked vanilla. How many people picked a vanilla cupcake?

### Answer key

**a)** 175

**b)** 70.35

**c)** 120 members voted

**d)** 17 burgers

**e)** 63 people

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