Understanding Percent Calculations

The video tutorial explains how to calculate percentages for tax, discount, increase, and decrease using the formula 'original times percent equals new'. It demonstrates solving these problems by working backwards with inverse operations. Three examples are provided: calculating a discount on shoes, an increase in football game attendance, and a discount on a DVD. The process involves dividing the new amount by the original, converting the result to a percentage, and comparing it to 100% to determine the change.

What is the formula used to calculate the new amount after applying a percentage change?

• Original plus percent equals new

• Original minus percent equals new

• Original times percent equals new

• Original divided by percent equals new

What is the first step in finding the percentage change using inverse operations?

• Add the original amount to the new amount

• Divide the new amount by the original amount

• Subtract the original amount from the new amount

• Multiply the new amount by the original amount

If a pair of shoes originally costs $39.99 and is now $29.99, what is the percentage discount?

• 15%

• 20%

• 30%

• 25%

How do you convert a decimal to a percentage?

• Divide by 100

• Multiply by 10

• Add 100

• Multiply by 100

What was the original number of students attending the football game last year?

• 300

• 200

• 247

• 295

What is the percentage increase in student attendance from 247 to 295?

• 10%

• 15%

• 25%

• 19%

What is the original price of the Hotel Transylvania DVD?

• $19.99

• $11.99

• $9.99

• $15.99

What is the percentage discount on the DVD if it is on sale for $11.99?

• 30%

• 40%

• 50%

• 60%

What is the final step in determining if a percentage change is an increase or decrease?

• Multiply the percentage by 100

• Subtract the percentage from 100

• Add 100 to the percentage

• Divide the percentage by 100

If a percentage is less than 100 after calculation, what does it indicate?

• An increase

• A decrease

• No change

• A doubling