MGSE6.RP.3c How to Find Percent of a Number

How to Find Percent of a Number

by Kevvin Hankins

​Standard: MGSE6.RP.3c

Find a percent of a quantity as a

rate per 100 (e.g., 30% of a quantity means

30/100 times the quantity); solve problems

involving finding the whole given a part and

the percent.

​Learning Targets

I can demonstrate how a percent is a ratio of a number compared to 100.

I can find a percent of a number as a rate per 100.

I can solve real-world problems involving finding the whole, given a part and a percent.

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​Vocabulary

Ratio

Rate​

Percent

Proportion​

Unit Rate​

​

​Essential Question

What kinds of problems can I solve by using ratios?

What are percentages?​

​

Percent of a Number

Using percents to solve real-world problems

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What is a percent?

1. Percent just means part of 100.
2. Percent is a ratio that compares a number to 100.
3. Percent can be expressed as a decimal and as a fraction.

Multiple Choice

What does the word percent mean?

• part out of 10

• part out of 100

• part out of 1

• part out of 1000

Finding Percents of a Number:Method One

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Multiple Choice

25% is what fraction in simplest form?

• 1/2

• 1/4

• 1/3

• 1/5

Multiple Choice

50% is what fraction in simplest form?

• 1/4

• 1/2

• 1

• 1/5

Finding Percents of a Number Method Two

1.Write the percent as a decimal by moving the decimal two places to the left in the percent

(35% ----> 0.35)

2 Multiply the quantity times the decimal

(0.35 x 80 = 28)

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Multiple Choice

Convert 20% to a decimal.

• .20

• 20

• .002

• 200

Multiple Choice

Convert 31% to a decimal.

• 3.1
• 0.031
• 0.31
• 310

Finding Percents of a Number

Remember you can use method one (top example) or method two (bottom example) to find the percent of a number.

Use the guided notes in the Google classroom to help you solve the problems on the next five slides.

Multiple Choice

Mrs. Patrick bought a package of 15 expo markers. 20% of them were blue the others were black. How many expo markers were blue?

• 3

• 5

• 7

• 9

Multiple Choice

What is 75% of 92?

• 6.9

• .69

• 69

• 690

Multiple Choice

There is a jar of jellybeans on Mr. Schidrich's desk. 40% of the jellybeans are red. If there are 55 jelly beans in the jar, how many are red??

• 20

• 22

• 24

• 25

Multiple Choice

The Middletown Zoo has 130 different exhibits. Of those 130 exhibits, 30% of them contain birds. How many exhibits contain birds?

• 49

• 39

• 60

• 25

Multiple Choice

What is 9% of 50?

• 4.5

• 45

• .45

• .045

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19 is what % of 70?​

Example 1:

Example 2:

​75% of 600 is what number?

Multiple Choice

Which of these is set up correctly for "30 is what percent of 600"?

Multiple Choice

Which of these is set up correctly for "What percent of 55 is 80"?

Multiple Choice

Which of these is set up correctly for "Find 40% of the number 85"?

1. Cross Multiple & Divide

2. Scaling Up or Down

​Solving

Multiple Choice

In a class of 30 kids, 3 forgot to get their report cards signed. What percent is that?

• 3%
• 30%
• 10%
• 70%

Multiple Choice

What is 30% of 80?

• 30
• 24
• 2.4
• 56

Poll

How do you feel about this topic?

• I will never understand this

• I am getting there, with more practice

• I am in a good spot

• I am an expert