Word Problems/Percents



Can you explain and provide examples to the following?

A percent is another way of expressing the ratio or fractional relationship of two numbers.

I thank you for your reply.

That is one way to express it.  A better way is to say 1% = 0.01.
Since 1/2 = 50/100 (multiply the top and bottom by 50), 1/2 is the same as 50%.
Since 1/4 = 25/100 (multiply the top and bottom by 25), 1/4 is the same as 25%.

Consider a seller that had 500 widgets.
If someone asked to get 1% of the widgets, that would be 500*0.01 = 500(1/100) = 5 widgets.
If the asked for 3% of the widgets, that would be 500(3/100) = 15.

To explain the concept again, if there are 8 people at a party and 1 person leaves,
that would be 1/8 of the people who left.  To convert 1/8 to a percent, muliply by 100,
giving (100/8)%.  Dividing the numerator and the denominator by 4 gives (25/2)%.
Since 25/2 = 12.5, that is the same as 12.5%.

If 3 people had left the parts of 8, the would be (3/8) times 100%.
Since 3/8 is 0.0375, that is 37.5%.

Still another way is if we had 7 widgets and we needed 3 more,
that would mean we need 3/7 more of what we had already.
Since 3/7 = 0.43 (when rounded), we need to get 43% more widges
above what we currently had (which was 7 widgets).

Once we had gotten the 3 widgets, we would have a total of 10.
Looking back at the fact that we had just aquired 3, that would mean we had 10.
It could then be said that we had received 3/10 = 0.3 = 0.30 = 30% of what we had.

Word Problems

All Answers

Answers by Expert:

Ask Experts


Scott A Wilson


I have answered every question that was a story problems that had any relation to math for which an answer existed. I have ever answered some questions which had a vague relation to math, but still related.


My experience is from when I started doing story problems in grade school. I have been assisting, helping, and bringing smiles to many others ever since. Are you the next one?

In over 850 questions answered to other users. Maybe you're the next one ...

I received a BA in Mathematical Sciences from OSU and a MS in Mathematics from OSU as well.

Awards and Honors
I earned Both my BS degree and MS degree with honors for having such a high grade point average.

Past/Present Clients
I have answered hundreds and hundreds of students at OSU in the 80's and over 8,500 questions right here, but only a little over 850 of them have been word problems.

©2017 About.com. All rights reserved.