Percentage Calculations and Applications

The video tutorial covers solving various percentage problems using the formula P = percent times whole. Examples include calculating the total number of students in a band, determining total tire sales, finding original fantasy points, calculating remaining road trip distance, determining total batting attempts, and calculating total savings from a percentage used. Each problem is solved step-by-step, demonstrating the use of division to isolate the unknown variable.

If 42 students represent 75% of the band, how many students are in the band?

• 42

• 56

• 100

• 75

What is the formula used to find the whole when given a part and a percentage?

• Whole = Percent / Part

• Percent = Part x Whole

• Whole = Part / Percent

• Part = Percent x Whole

A salesman sold 165 tires, which was 60% of the total sales. What was the total number of tires sold?

• 275

• 165

• 100

• 200

Nick has 7,200 points, which is 20% more than Adam. How many points does Adam have?

• 7,200

• 6,000

• 5,760

• 8,640

If a product's sales increased by 20% and the new sales figure is 7,200, what was the original sales figure?

• 6,000

• 8,640

• 5,760

• 7,200

Kurt has driven 276 miles and has 70% of the trip left. How many more miles does he need to drive?

• 394

• 600

• 276

• 500

How do you calculate the remaining distance of a trip if you know the percentage left?

• Remaining Distance = Total Distance - Distance Driven

• Remaining Distance = Distance Driven x Percentage Left

• Remaining Distance = Distance Driven / Percentage Left

• Remaining Distance = Total Distance x Percentage Left

Derrick had a batting average of 0.250 with 47 hits. How many times did he bat?

• 150

• 47

• 200

• 188

If Nelson used 35% of his savings, which amounted to $240, what was the total savings?

• $240

• $400

• $800

• $600

If a player has a batting average of 0.250 and 47 hits, how do you calculate the total number of at-bats?

• Total At-Bats = Hits + Batting Average

• Total At-Bats = Batting Average / Hits

• Total At-Bats = Hits x Batting Average

• Total At-Bats = Hits / Batting Average