Percentage Increase 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.