Unknown Total Percentage Worksheets

There are three sets of Percentage Worksheets:
Percentage of a Number or Part (30% of 60 = ___ )
Find the Base or Total (20% of ___ = 18)
Find the Percent or Rate (___% of 50 = 25)

Examples, solutions, videos, and worksheets to help Grade 6 students learn how to find the unknown total in a percentage problem. This is also called reverse percentage problem. Include percentage word problems.

How to calculate the unknown Total in a Percentage Problem?

There are 3 sets of calculate the unknown total in a percentage problem worksheets:

• Easy or Simple Percents (50%, 25%, 20%, 10%, 5%, 1%)
• Whole Number Percents
• Decimal Number Percents

We can use the following equation:
Percent% = Part/Total
and so Total = Part/Percent%

The total is also called the base.

Example: 30% of a total is equal to 45. What is the total?
Total = 45 ÷ 30%
We can change 30% to a fraction to get
45 ÷ 30/100 = 45 × 100/30 = 150
or we can change 30% to a decimal to get
45 ÷ 0.3 = 150
So, the unknown total in this case is 150.

Have a look at this video if you need to review how to find the unknown total in a percentage problem.

• Percent of an unknown number

Easy or Simple Percentages
Remembering some of these easy percentages, will help you to calculate the total (or base) quickly in your head.

50%: 50% = 50/100 = 1/2. To find the total, we multiply the part by 2. For example, 50% of what total is 60? The total is 60 × 2 = 120.

25%: 25% = 25/100 = 1/4. To find the total, we multiply the part by 4. For example, 25% of what total is 40? The total is 40 × 4 = 160.

20%: 20% = 20/100 = 1/5. To find the total, we multiply the part by 5. For example, 20% of what total is 40? The total is 40 × 5 = 200.

10%: 10% = 10/100 = 1/10. To find the total, we multiply the part by 10. For example, 10% of what total is 40? The total is 40 × 10 = 400.

5%: 5% = 5/100 = 1/20. To find the total, we multiply the part by 20. For example, 5% of what total is 40? The total is 40 × 20 = 800.

1%: 1% = 1/100. To find the total, we multiply the part by 100. For example, 1% of what total is 40? The total is 40 × 100 = 4000.

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Percentage Worksheets.

 

More Percentage Worksheets

Printable
(Answers on the second page.)
Unknown Total Percentage Worksheet #1 (50%, 25%, 20%, 10%, 5%, 1%)
Unknown Total Percentage Worksheet #2 (whole number percents)
Unknown Total Percentage Worksheet #3 (decimal number percents)

Online or Interactive
Percentages (What is X% of Y)
Percentages (X is what % of Y)
Percentages (X is Y% of what)

Percent of a Number
Finding Percent
Finding the Base

Percent Word Problems (percent or rate)
Percent Word Problems (percent of or part)
Percent Word Problems (increase or decrease)
Percent Word Problems (profit or loss)

Percentage Word Problems

1. Sarah scored 80% on a math test. If she answered 32 questions correctly, how many questions were on the test in total?
   

   • Show Answers

     Let’s assume the total number of questions on the test is x.
     We know that 80% of x is equal to 32.
     0.8x = 32
     x = 32 / 0.8
     x = 40
     Therefore, there were 40 questions on the test in total.

2. A store offers a 25% discount on all items. If a customer bought a shirt for $30 after the discount, what was the original price of the shirt?

   • Show Answers

     Let’s assume the original price of the shirt is x.
     We know that the customer paid $30, which is 75% (100% - 25%) of the original price. So we can set up the equation:
     0.75x = 30
     To find the unknown total, we can solve this equation:
     x = 30 / 0.75
     x = 40
     Therefore, the original price of the shirt was $40.

3. A car’s value depreciates by 15% each year. If the car is currently worth $12,750, what was its original value?

   • Show Answers

     Let’s assume the original value of the car is x.
     We know that the current value is 85% (100% - 15%) of the original value. So we can set up the equation:
     0.85x = 12,750
     To find the unknown total, we can solve this equation:
     x = 12,750 / 0.85
     x = 15,000
     Therefore, the original value of the car was $15,000.

4. A bookstore sold 480 books, which represents 60% of its inventory. What was the total number of books in the store?

   • Show Answers

     Let’s assume the total number of books in the store is x.
     We know that 60% of x is equal to 480. So we can set up the equation:
     0.6x = 480
     To find the unknown total, we can solve this equation:
     x = 480 / 0.6
     x = 800
     Therefore, the total number of books in the store was 800.

Related Lessons & Worksheets

Percentage of a Number Lesson
Percent Word Problems

More Printable Worksheets

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