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# Percentages

## Percentage – Definition

A Percentage is a number or ratio expressed as a fraction of 100.

We use the percent symbol (%) to express the percentage.

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## Finding The Percentage of A Number

• Multiply the number by the percent
• Divide the answer by 100 (Move the decimal point two places to the left)
• Round to the desired precision

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## Examples of Percentage

1. 90% = 90/100

= 9/10 (or) 0.9

2. 75% = 75/100

= 3/4 (or) 0.75

3. 62.5% = 62.5/100

= 5/8 (or) 0.625

4. 50% = 50/100

= 1/2 (or) 0.5

5. 30% = 30/100

=3/10 (or) 0.3

## How do you get a percentage of an amount?

Let’s understand with a couple of examples:

1. Find 16% of \$1600

Solution

16% of \$1600

= 16/100 × 1600

= \$256

2. What is 80% of 15?

Solution

The whole is 15.
The percentage is 80%.

Let n represent the part.

Write a proportion to solve for n.

100n = 80 x 15

100n = 1200

n=12

Therefore, Answer: 80% of 15 is 12.

## Percentage – Check Point

### Question 1

What is 250% of 70?

### Question 2

What is 67% of 105?

### Question 3

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?

### Question 4

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?

### Question 5

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?

1. 175

2. 70.35

3. 120 members voted

4. 17 burgers

5. 63 people

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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