Question Video: Solving Word Problem Involving Percentages | Nagwa Question Video: Solving Word Problem Involving Percentages | Nagwa

# Question Video: Solving Word Problem Involving Percentages Mathematics

Between 2006 and 2007, smartphone users increased from 7.7 million to 31 million. Determine, to the nearest whole percent, the percentage increase.

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### Video Transcript

Between 2006 and 2007, smartphone users increased from 7.7 million to 31 million. Determine to the nearest whole percent the percentage increase.

Well, the key information here is that we start off from 7.7 million and we increase to 31 million. Now they’re both in millions. So that’s handy. Right! The percentage increase is the amount of the increase divided by the original amount. So that’s the proportion of the original amount that the increase represents. And then we multiply that by 100 to turn it into a percentage.

Now remember we went from 7.7 to 31. So to calculate the amount of increase, we need to do 31 take away 7.7. And 31 take away 7.7 I’ve written it down. I’m gonna write 31 as 31.0 to make it easier to do this as a column calculation. And so we’re gonna do zero take away seven. But we can’t do that. So we’re gonna have to do some borrowing.

We’ll borrow one from the next column along and use it here. So 10 take away seven is three. And then we’ve got the same problem, zero take away seven. So I’m gonna have to borrow one from the next column and use it in this column. So again, we’ve got 10 take away seven, which is three. And then we’ve got two take away nothing, which is two. So the difference was 23.3. That was an increase of 23.3 million.

Now just as an aside, another way of approaching that calculation would have been to draw it on a number line like this. So let’s go to the next whole number. So from 7.7 to eight would be an increase of 0.3. And then from eight to 31 would be an increase of 23. So 0.3 plus 23 equals 23.3. Some people find that method easier rather than all this borrowing business.

Okay, so now we’ve got some figures that we can fill in for our percentage increase. The amount of the increase was 23.3. And the original amount was 7.7. And then we’re going to multiply that by 100. Now I’m just gonna enter that into the calculator rather than to go into all of the long division process. And that gives me 302.5974026, and so on.

Well, the question asked us to give our answer to the nearest whole percent. So I’m going to have to round here, so 302. Well it’s .5. Well if it’s five or above, we’re gonna round up. So that’s gonna be 303. So the answer is that we had a 303 percent increase to the nearest whole percent.

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