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What Is the Percent Increase From 8 to 10 OR

What Is the Percent Increase From 8 to 10

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There is a difference of 25% between the 8th digit and the 10th digit in a large integer. To increase by 25%, a number must be multiplied by 250%, from 8 to 16.

Decimal

How about one more example? In June, the error rate on price scans at a supermarket was 3.5%. In July, the rate increased to 4.3%. Find the percent increase of the error rate on price scans at this supermarket. You might think that because you are given percentages to start with rather than numbers, that you would simply subtract the percentages to find the percent increase. However, this is not correct. As mentioned earlier, the calculation will be done the same. You will just need to convert the percentages to decimals first by dividing each by 100. Thus, the final value is 4.3%, or .043, and the initial value is 3.5%, or .035. Subtract these to get a difference of .008, which is then divided by the initial value of .035. That result is .229, rounded off, and when multiplied by 100%, gives the percent increase as 22.9%. Although the error rate itself increased by .8% (4.3% to 3.5%), the percent increase between the monthly error rates is 22.9%.

When there is an increase in two values, it's often helpful to know not only the difference between the values but also the scale of that difference relative to the starting point. In other words, knowing how great the increase is compared to the starting point tells us more about the change. This is also known as the percent increase. To find it, simply subtract the initial value from the final value and divide this difference by the initial value. Then multiply by this result by 100% to convert the number to a percentage. Remember that you can find the percent increase for any two values whether they are integers, decimals or percentages. (Source: study.com)

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