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What percent of 500 is 120?

Last updated date: 22nd Jul 2024
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Hint: In this problem, we have to find the percent of 500 which gives 120. Here we have to find the percent for the given number and the total number. We know that, we can find the number by dividing the given number by the total number and multiplying it with 100. Here we have the total number 500 and the given number 120, we can substitute in the formula for the final answer.

Complete step by step answer:
Here we have to find the percent of 35 is 14.
Here we can see that the given number is 120 and the total number is 500.
We know that,
\[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\]
Here we can substitute the given values and find the percentage for it,
\[\Rightarrow Percent=\dfrac{120}{500}\times 100\]
We can now find the value of Percent by simplifying the above step.
We can first divide 120 and 500 and we can multiply it with 100, we get
\[\Rightarrow Percent=0.24\times 100\]
We can now multiply 100 on the above step, we get
\[\Rightarrow Percent=24.0\%\]
Here we have moved the decimal one point to the left.
Therefore, the 120 percent of 500 is \[24\%\].

Note: Students make mistakes while finding the number from the given percentage. We should always remember that we can find the number by multiplying the given percentage and the total number and then divide by hundred, as we should remember that \[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\], we can also cancel the 100 and 500 and then simplify this problem, to get the same final answer.