# Percentages

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## Learn Percentages 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.

How do you get percentage of a number?

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

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

#### Let’s understand with an example:

**1. Find 16% of $1600**

**Solution:**

16% of $1600

= 16/100 × 1600

= **$256**

A percent is 1 part out of 100.

1% is equal to 1/100 or 0.01.

#### How do you solve percent problems using a proportion ?

##### The proportion method works for all three types of percent problems.

- What is 40% of 30?
- 25% of what number is 75?
- 5 is what percent of 4?

**Let’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.

= =

100n = 80 x 15 100n = 1200

n=12

**80% of 15 is 12.**

## Check Point

- What is 250% of 70?
- What is 67% of 105?
- 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?
- 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?
- 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

- 175
- 70.35
- 120 members voted
- 17 burgers
- 63 people

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