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Percentages

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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?
proportions

 

How do you get a percentage of an amount?

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.

\frac{Part}{Whole} = \frac{Percent}{100}\Rightarrow\frac{n}{15} = \frac{80}{100}

100n = 80 x 15 \Rightarrow 100n = 1200

n=12

80% of 15 is 12.

Check Point

  1. What is 250% of 70?
  2. What is 67% of 105?
  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?
  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?
  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?
Answer key
  1.  175
  2. 70.35
  3. 120 members voted
  4. 17 burgers
  5. 63 people

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