Understanding Percentages and Bases

This video tutorial explains how to solve percentage, base, and rate problems using a formula. It provides three examples: calculating a percentage, finding the base, and determining the rate. The video demonstrates how to convert percentages to decimals and solve equations to find the unknown values.

What is the formula used to solve percentage, base, and rate problems?

• percentage = rate - base

• percentage = base / rate

• percentage = base + rate

• percentage = base x rate

In the problem 'What is 35% of 200?', what is the base?

• 70

• 0.35

• 200

• 35

How do you convert 35% into a decimal?

• 3.5

• 0.035

• 35.0

• 0.35

What is 35% of 200?

• 200

• 70

• 35

• 0.35

In the problem '40 is 30% of what number?', what are we solving for?

• None of the above

• Percentage

• Rate

• Base

What is the base in the problem '40 is 30% of what number?'?

• 0.30

• 75

• 40

• 30

In the problem '45 is what percent of 70?', what is the base?

• 0.70

• 0.45

• 70

• 45

What is the rate in the problem '45 is what percent of 70?'?

• 64.3%

• 45%

• 70%

• 30%

How do you convert a decimal like 0.643 into a percentage?

• Divide by 100

• Multiply by 10

• Multiply by 100

• Divide by 10

What is the approximate percentage of 45 out of 70?

• 45%

• 30%

• 70%

• 64.3%