Decrease a Number by a Percentage Worksheet

There are two sets of Increase/Decrease of Number Percentage Worksheets:
Increase a Number by a Percentage
Decrease a Number by a Percentage

Examples, solutions, videos, and worksheets to help Grade 6 students learn how to decrease a number by a percentage. Include percentage word problems.

How to decrease a number by a percentage?

There are 3 sets of decrease a number by a percentage worksheets:

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

Method 1: Using the formula
In general, the formula for increasing a number by a percentage can be expressed as:
Increased Value = Original Number - (Original Number × Percentage Decimal)

1. Convert the percent to a decimal by dividing it by 100.
2. Multiply the original number by the decimal obtained in Step 1. This will give you the amount to increase the number by.
3. Subtract the amount from the original number to get the increased value.

Example: Decrease 80 by 25%.

1. Convert 25% to a decimal: 25/100 = 0.25
2. Multiply 80 by 0.25: 80 × 0.25 = 20
3. Subtract from the original number: 80 - 20 = 60
   Therefore, decreasing 80 by 25% results in 60.

Method 2: Using a Multiplier
The formula for increasing a number by a percentage using a multiplier can be expressed as:
Increased Value = Original Number × (1 - Percentage Decimal)

1. Convert the percent to a decimal by dividing it by 100.
2. Subtract the decimal from 1.
3. Multiply the original number by the result from Step 2 to get the decreased value.

Example: Decrease 80 by 25%.

1. Convert 25% to a decimal: 25/100 = 0.25
2. Subtract the decimal from 1: 1 - 0.25 = 0.75
3. Multiply 80 by 0.75: 80 × 0.75 = 60 Therefore, decreasing 80 by 25% results in 60.

Using this multiplier approach can provide a quick and efficient way to calculate the decreased value of a number by a certain percentage. We can do step 2 in the head and use a calculator for step 3 if necessary.

Have a look at this video if you need to review how to decrease a number by a percent using both methods.

• Increase & decrease a number by a percent

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.)
Percent Worksheet #1 (easy percentages)
Percent Worksheet #2 (whole number percentages)
Percent Worksheet #3 (decimal number percentages)

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. A store is having a sale with a 20% discount on all items. If a pair of shoes originally cost $80, what is the sale price?

   • Show Answers

     $64

2. A company had 500 employees, but due to downsizing, it had to lay off 15% of its workforce. How many employees remain?

   • Show Answers

     425

3. A smartphone’s price was reduced by 20% for a special promotion. If the original price was $600, what is the sale price?

   • Show Answers

     $480

4. A restaurant reduced the salt content in its recipes by 30%. If a dish previously contained 800mg of salt, how much salt does it now contain?

   • Show Answers

     560 mg

5. An investment portfolio decreased in value by 12% during a market downturn. If the initial value was $50,000, what is the new value?

   • Show Answers

     $44,000

6. The attendance at a conference decreased by 8% compared to the previous year. If there were 800 attendees last year, how many attended this year?

   • Show Answers

     736

7. A car’s fuel efficiency decreased by 15% after a modification. If the car previously achieved 40 miles per gallon, what is the new fuel efficiency?

   • Show Answers

     34 miles per gallon

8. A bookstore had 1,000 books in stock, but due to sales, the inventory decreased by 20%. How many books are left in stock?

   • Show Answers

     800

9. The price of a ticket to a concert was reduced by 50% for a limited-time offer. If the original price was $100, what is the discounted price?

   • Show Answers

     $50

Related Lessons & Worksheets

Percentage of a Number Lesson
Percent Word Problems

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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