How do you write a percent into a decimal? 115.9%

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There are several approaches in answering the question that all lead to the same answer.  I have always tried to teach students that in order to make a decimal into a percent, you multiply by 100 because percent means "of 100."  If we know that the term "of" means to...

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There are several approaches in answering the question that all lead to the same answer.  I have always tried to teach students that in order to make a decimal into a percent, you multiply by 100 because percent means "of 100."  If we know that the term "of" means to multiply, then this process becomes easier.  This would mean that .89 as a percent would be 89% because we multiply .89 by 100.  The other way of thinking about this is when we multiply, we move the decimal two places to the right.  Bearing this in mind, the opposite is true.  When we write a percent as a decimal we are actually dividing by 100 and thus moving the decimal two places to the left.  This means that 115.9% as a decimal becomes 1.159.

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All you have to do here is to move the decimal point over two places to the left.  You can do that with any percentage to turn it into a decimal.  So, in your example, you move the decimal over two places to the left and you get 1.159.

This makes sense because 100% would be 1.  And so 115.9% is 1 plus another 15.9%.

As I say, you can do this with any percentage.  If your percentage is less than 100, you can still do it.  For example 5% is .05.

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