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What is 12.5 percent of 800?

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Last updated date: 19th Jul 2024
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Answer
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Hint: In this type of question we have to use the concept of percentage. We know that a percentage is a number or ratio that can be expressed as a fraction of 100. Hence the percentage means a part per 100. Thus \[x\%\] can be expressed as \[\dfrac{x}{100}\]. Also if we have to calculate percent of a number then equate it to some variable. Then express \[\%\] as a fraction of 100 and simplify to obtain the final result.

Complete step by step answer:
Now, we have to find 12.5 percent of 800.
For this let us consider,
\[\Rightarrow 12.5\%\text{ of 800}\]
As we know that, a percentage is a number or ratio that can be expressed as a fraction of 100 we can write,
\[\Rightarrow 12.5\%\text{ of 800}=\dfrac{12.5}{100}\text{ of }800\]
Here, the word ‘of’ will represent multiplication so that we get,
\[\Rightarrow 12.5\%\text{ of 800}=\dfrac{12.5}{100}\times 800\]
On simplifying we can write,
\[\begin{align}
  & \Rightarrow 12.5\%\text{ of 800}=12.5\times 8 \\
 & \Rightarrow 12.5\%\text{ of 800}=100 \\
\end{align}\]
Hence, 12.5 percent of 800 is 100.

Note: In this type of question students have to note all the simple points which come under percentage. Students have to remember that to solve such types of questions the key is to use the percentage formula on a given number. Percentage formula states that, if you have to turn a percentage into a fraction, just divide by 100. For example, \[20\%=\dfrac{20}{100}\]. One of the students may solve the given question as follows:
Let us suppose that, the 12.5 percent of 800 is equal to \[x\]
\[\Rightarrow 12.5\%\text{ of 800}=x\]
As we know that, to turn a percentage into a fraction, just divide by 100
\[\Rightarrow \dfrac{12.5}{100}\text{ of }800=x\]
Here, the word ‘of’ will represent multiplication so that we get,
\[\begin{align}
  & \Rightarrow \dfrac{12.5}{100}\times 800=x \\
 & \Rightarrow 12.5\times 8=x \\
 & \Rightarrow 100=x \\
\end{align}\]
Hence, 12.5 percent of 800 is 100.