Increase 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 increase a number by a percentage. Include percentage word problems.

How to increase a number by a percentage?

There are 3 sets of increase 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. Add the amount from Step 2 to the original number to get the increased value.

Example: Increase 80 by 25%.

1. Convert 25% to a decimal: 25/100 = 0.25
2. Multiply 80 by 0.25: 80 × 0.25 = 20
3. Add the result from Step 2 to the original number: 80 + 20 = 100
   Therefore, increasing 80 by 25% results in 100.

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. Add 1 to the decimal obtained in Step 1.
3. Multiply the original number by the result from Step 2 to get the increased value.

Example: Increase 80 by 25%.

1. Convert 25% to a decimal: 25/100 = 0.25
2. Add 1 to the decimal: 0.25 + 1 = 1.25
3. Multiply 80 by 1.25: 80 × 1.25 = 100 Therefore, increasing 80 by 25% results in 100.

Using this multiplier approach can provide a quick and efficient way to calculate the increased 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 increase 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. The population of a town was 10,000 last year. This year, it increased by 5%. What is the current population of the town?

   • Show Answers

     10,500

2. Jane’s monthly salary is $3,000. She received a 10% raise. What is her new monthly salary?

   • Show Answers

     $3,300

3. A company increased the price of a product by 15% due to inflation. If the original price was $200, what is the new price?

   • Show Answers

     $230

4. John invested $5,000 in a stock that increased in value by 8% over the year. How much is his investment worth now?

   • Show Answers

     $5,400

5. The cost of electricity increased by 12% this year. If your monthly bill was $100 last year, what is your new monthly bill?

   • Show Answers

     $112

6. The price of a ticket for a concert was increased by 25%. If the original price was $80, what is the new price?

   • Show Answers

     $100

7. A company had a profit of $10,000 last year. This year, the profit increased by 15%. What is the current profit?

   • Show Answers

     $11,500

8. The price of gasoline increased by 5% last month. If it was $3 per gallon before the increase, what is the price now?

   • Show Answers

     $3.15

Related Lessons & Worksheets

Percentage of a Number Lesson
Percent Word Problems

More Printable Worksheets

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