Percentage Increase Calculator

We have created a short video to show you all about percentage increases and how to use our calculators.

In the video, you will see:

• what a percentage increase or decrease is
• which calculator you should use to solve your percentage problem
• a worked example showing how to solve the problem without a calculator

Example 1) A long jumper jumps 720cm on his first jump and 756cm on his 2nd jump. Work out the percentage increase.

• We are trying to find the percentage increase between two numbers, so we can use calculator 1 to solve this problem.

Step 1) Subtract the original number from the final number:

756 - 720 = 36cm

Step 2) Divide this number by the original number:

36 ÷ 720 = 0.05

Step 3) Change this to a percentage by multiplying by 100.

0.05 x 100 = 5%

Answer: there is a 5% increase in his jump length.

Example 2) I have $3400 in a bank account. After a year it has increased by 7%. How much do I have now?

• We need to find the answer after a percentage increase, so we need calculator 2 to solve this problem.

Step 1) Find the percentage increase, by adding it to 100.

100% + 7% = 107%

Step 2) Find 1% of $3400 by dividing it by 100.

1% of 3400 = 3400 ÷ 100 = 34.

Step 3) Find 107% by multiplying the result by 107.

107% of 3400 = 34 x 107 = 3638.

Answer: I now have $3638.

Example 3) I buy a bike for $350. I sell the bike for $270 after six months. What was my percentage loss in price to 1 decimal place?

• We are trying to find the percentage decrease between two numbers, so we need calculator 1.

Step 1) Subtract the original number from the final number:

270 - 350 = -80

Step 2) Divide this number by the original number:

-80 ÷ 350 = -0.22857...

Step 3) Change this to a percentage by multiplying by 100.

Step 3) -0.22857 x 100 = 22.857% or 22.9% to 1dp

Answer: there is a 22.9% decrease or loss in price.

Example 4) A bike is priced at $120. It is reduced by 15% in a sale. How much would it cost now?

• We need to find the answer after a percentage decrease, so we need calculator 2.

Step 1) Find the percentage decrease, by subtracing it from 100.

100% - 15% = 85%

Step 2) Find 1% of 120 by dividing 120 by 100.

1% of 120 = 120 ÷ 100 = 1.2

Step 3) Find 85% by multiplying the result by 85.

85% of 120 = 85 x 1.2 = 102

Answer: The bike is on sale for $102.

We have a range of different percentage calculators to use.

Select the one you want to use from the list below.

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

You can choose your level of difficulty and test yourself with immediate feedback!

If you are still stuck with percentage increases and decreases, try our page on How to Work out percentage change.

There are further worked examples, and more in-depth help on this topic.

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

Our calculator hub page contains links to all of our calculators!

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.