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Percentage change
for 8th grade

Compare two quantities to work out the percentage increase or decrease

How to calculate percentage change

To compare two quantities and work out the percentage increase or decrease, follow these steps:

Step 1: Calculate the difference between the two quantities.

Subtract the initial quantity from the final quantity to find the difference. For example, if the temperature of a liquid started at 50° and increased to 60°, the difference is 10°.

Step 2: Divide the difference by the original quantity and multiply by 100.

To find the percentage increase or decrease, divide the difference by the original quantity and multiply by 100. If the difference is positive, it is a percentage increase, and if the difference is negative, it is a percentage decrease. For example, if the initial temperature is 50°, then the percentage increase would be:

Difference = 60° - 50° = 10°

Percentage increase = (10/50) x 100 = 20%

Therefore, the temperature increased by 20%.

So, to compare two quantities and work out the percentage increase or decrease, you need to calculate the difference between the two quantities, divide the difference by the original quantity, multiply by 100, and include the percent sign in the answer.

Below is a table showing the first 8 question answer pairs for the topic "Percentage change" as used in the lessons for this topic. Our games and tests for the topic use these 8 items plus 8 additional question answer pairs.

The topic "Percentage change" is in the category Number for 8th grade (ages 13 to 14).

1 / 8
Going from $25 to $50 is a percentage increase of 100%
$25 to $50
100%
2 / 8
Going from $40 to $30 is a percentage decrease of 25%
$40 to $30
25%
3 / 8
Going from 5 mm to 8 mm is a percentage increase of 60%
5 mm to 8 mm
60%
4 / 8
Going from 15 cm to 12 cm is a percentage decrease of 20%
15 cm to 12 cm
20%
5 / 8
Going from $80 to $90 is a percentage increase of 12.5%
$80 to $90
12.5%
6 / 8
Going from $90 to $36 is a percentage decrease of 60%
$90 to $36
60%
7 / 8
Going from $10,500 to $13,650 is a percentage increase of 30%
$10,500 to $13,650
30%
8 / 8
Going from $30 to $3 is a percentage decrease of 90%
$30 to $3
90%

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Each of our math topics for secondary are made up of between 6 and 20 question and answer pairs (both the written form and a robot voice speaking those questions and answers). Each topic can be used with all the activities on the site.


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