What is 52 percent of 83.2 - step by step solution

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

1. We assume, that the number 83.2 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 83.2 is 100%, so we can write it down as 83.2=100%.
4. We know, that x is 52% of the output value, so we can write it down as x=52%.
5. Now we have two simple equations:
1) 83.2=100%
2) x=52%
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:
83.2/x=100%/52%
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 52% of 83.2

83.2/x=100/52
(83.2/x)*x=(100/52)*x       - we multiply both sides of the equation by x
83.2=1.92307692308*x       - we divide both sides of the equation by (1.92307692308) to get x
83.2/1.92307692308=x
43.264=x
x=43.264

now we have:
52% of 83.2=43.264