What is 39.83 percent of 162 - step by step solution

Simple and best practice solution for 39.83% of 162. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 162 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 162 is 100%, so we can write it down as 162=100%.
4. We know, that x is 39.83% of the output value, so we can write it down as x=39.83%.
5. Now we have two simple equations:
1) 162=100%
2) x=39.83%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
162/x=100%/39.83%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 39.83% of 162

162/x=100/39.83
(162/x)*x=(100/39.83)*x       - we multiply both sides of the equation by x
162=2.5106703489832*x       - we divide both sides of the equation by (2.5106703489832) to get x
162/2.5106703489832=x
64.5246=x
x=64.5246

now we have:
39.83% of 162=64.5246

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