Word Problems/Percents

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Question
Hello:

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.

Answer
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.

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