What is \[8.5\%\] of 300?
Answer
564.6k+ views
Hint: In this problem, we have to find \[8.5\%\] of 300. Here we have to find the number for the given percentage and the total number. We know that, we can find the number by dividing the given percentage by 100 and multiplying it with the total number. We can now find it in the following steps.
Complete step-by-step solution:
Here we have to find \[8.5\%\] of 300.
Here we can see that the given percentage is 8.5 and the total number is 300.
We know that,
\[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\]
Here we can substitute the given value and find the unknown number,
\[\Rightarrow 8.5=\dfrac{x}{300}\times 100\]
We can now find the value of x by simplifying the above step.
We can first multiply 36 on both the left-hand side and the right-hand side of the above step, we get
\[\Rightarrow x\times 100=2550\]
We can now divide 100 on both the left-hand side and the right-hand side of the above step, we get
\[\Rightarrow x=\dfrac{2550}{100}\]
We can now divide the above step by moving the decimal two points to the left, we get
\[\Rightarrow x=25.5\]
Therefore, \[8.5\%\] of 36 is 25.5.
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 \[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\], this percentage formula to find the required number we are asked for.
Complete step-by-step solution:
Here we have to find \[8.5\%\] of 300.
Here we can see that the given percentage is 8.5 and the total number is 300.
We know that,
\[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\]
Here we can substitute the given value and find the unknown number,
\[\Rightarrow 8.5=\dfrac{x}{300}\times 100\]
We can now find the value of x by simplifying the above step.
We can first multiply 36 on both the left-hand side and the right-hand side of the above step, we get
\[\Rightarrow x\times 100=2550\]
We can now divide 100 on both the left-hand side and the right-hand side of the above step, we get
\[\Rightarrow x=\dfrac{2550}{100}\]
We can now divide the above step by moving the decimal two points to the left, we get
\[\Rightarrow x=25.5\]
Therefore, \[8.5\%\] of 36 is 25.5.
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 \[Percent=\dfrac{\text{Number}}{\text{Total number}}\times 100\], this percentage formula to find the required number we are asked for.
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