The Percent Equation

Percent Equation

By Nathan Garcia

If I have $50 and donated 60% to charity, how much money did I donate?

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

What number is 60% of 50?

• 3000

• 30

• 12

• 300

What number is 60% of 50?

Calculations:

​ 60% x 50

=​ 0.6 x 50

= 30​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

What is missing in the question:

"What number is 60% of 50?"

• Whole

• Part

• Percent

What is missing in the question:

"What number is 60% of 50?"

Answer: Part

​

60% = percent

​

50 = whole​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

If a = part, how should you write the sentence as an equation?

"What number is 60% of 50?"

• a x 0.6 = 50

• a = 0.6 x 50

• 50 x a = 0.6

• a = 60 x 50

If c = part, how should you write the sentence as an equation?

"What number is 60% of 50?"

Since the part is unknown, we can solve by multiplying the converted percent by the whole to find the part.

​

a = 0.6 x 50​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Using what you learned from the previous slides,

what is the relationship between the whole, part, and percent?

•  The whole and the part added equals the percent

• The part equal the percent multiplied by the whole 

• The percent equal the whole multiplied by the part 

• The part equals the whole subtracted by the percent. 

Using what you learned from the previous slides,

what is What is the relationship between the whole, part, and percent?

​

​

The part is equal to the converted percent multiplied by the whole.

​

​

Subject | Subject

"The percent multiplied by the whole is the part"

Multiple Choice

What is an equation that relate the part = a, whole = w, and percent = p?

• p/w=a

• p-w=a

• a+b+c = turtles

• p*w=a

PERCENT EQUATION

​

p * w = a

​

p = percent​ (decimal)

w = whole

a = part

Subject | Subject

"The percent multiplied by the whole is the part"

EXAMPLE :

Finding the PART(a)​ using the Percent Equation

​

Solution ​

p * w = a​

0.16 * 25 = a

4 = a​

​

​Answer: a = 4

Subject | Subject

Some text here about the topic of discussion

What number is 16% of 25?

​

a = ?

w =​ 25

p = 16% = 0.16

​

Multiple Choice

What is 25% of 72?

• 97

• 2.8

• 47

• 18

EXAMPLE :

Finding the PERCENT(p)​ using the Percent Equation

​

Solution ​

p * w = a​

p * 20 = 7

20 20​

​p = 0.35 = 35%

​

Subject | Subject

Some text here about the topic of discussion

What percent is 7 of 20?

​

a = 7

w =​ 20

p = ?

​

Multiple Choice

What percent is 4 of 5?

• 45%

• 20%

• 9%

• 80%

EXAMPLE :

Finding the WHOLE(w)​ using the Percent Equation

​

Solution ​

p * w = a​

0.22 * w = 66

0.22​ 0.22

​w = 300

​

Subject | Subject

Some text here about the topic of discussion

66 is 22% of what number?

​

a = 66

w =​ ?

p = 22% = 0.22

​

Multiple Choice

8 is 2% of what number?

• 16

• 4

• 400

• 10