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. Sarah scored 80 out of 100 on her math test. What percent did she score?

   • Show Answers

     80%

2. If the sales tax on a purchase is $8 and the total amount paid, including tax, is $120, what is the tax rate as a percentage?

   • Show Answers

     8/120 × 100% = 6.67%

3. A stock’s price increased from $50 to $60. What percent did the stock price increase?

   • Show Answers

     Price increase = New price - Original price = $60 - $50 = $10 Percent increase = (Price increase / Original price) * 100 = ($10 / $50) * 100 = 20% Therefore, the stock price increased by 20%.

Related Lessons & Worksheets

Percentage of a Number Lesson
Percent Word Problems

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