Video: Solving Word Problems Involving Percentages

Last year, 336 students enrolled in a school. This year, 430 students enrolled in the same school. Determine the percentage change to the nearest whole percent, and state whether the change is an increase or a decrease.

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Video Transcript

Last year, 336 students enrolled in a school. This year, 430 students enrolled in the same school. Determine the percentage change to the nearest whole percent and state whether the change is an increase or decrease.

First, let’s determine how many more students enrolled in the school the next year. So we take 430 and subtract 336. So there are 94 more students enrolled this year. So now, we need to take this change and divide by the original amount — 336 students. 94 divided by 336 is 0.279.

Now, we want to write this as a percentage. This means we need to move the decimal point two places to the right. And once we do that, we drop the zero in front and add the percentage sign to the back, so 27.9 percent.

Now, it does state to round to the nearest whole percent, so we either need to keep it 27 percent or round up to 28 percent. So looking at the nine, the number to the right of the seven, the nine is larger than five. So we will round the seven up to an eight. This means it was a 28 percent change.

Now, was this an increase or a decrease? Well, if we go from 336 students to 430 students, we had more students that following year. Therefore, this would be a 28 percent increase.

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