Understanding Percentages through Proportions

The video tutorial explains how to determine what percent 90 is of 360 by setting up a proportion. It defines the variables, sets up the proportion equation, and uses cross-multiplication to solve for the unknown percentage. The solution is calculated using a calculator, and the result is interpreted as 90 being 25% of 360.

What is the initial problem we are trying to solve in this example?

• Calculating the sum of 90 and 360

• Determining the difference between 90 and 360

• Multiplying 90 by 360

• Finding the percentage of 360 that is 90

In the context of the problem, what does the 'is' represent?

• The total amount

• The unknown percentage

• The denominator

• The part of the whole

What is the role of the variable 'x' in the proportion setup?

• It is the denominator

• It represents the total amount

• It is the unknown percentage we are solving for

• It is the part of the whole

How do we solve the proportion once it is set up?

• By multiplying the numbers directly

• By cross-multiplying and dividing

• By subtracting the numbers

• By adding the numbers

What is the result of 90 times 100 in the cross-multiplication step?

• 360

• 3600

• 9000

• 900

What operation is performed to isolate 'x' in the equation 9000 = 360x?

• Division

• Addition

• Subtraction

• Multiplication

What is the final value of 'x' after solving the equation?

• 15

• 20

• 30

• 25

What does the final result tell us about the relationship between 90 and 360?

• 90 is 25% of 360

• 90 is 100% of 360

• 90 is 50% of 360

• 90 is 75% of 360