83.06 is what percent of 100 - 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 100 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 100% equals 100, so we can write it down as 100%=100.
4. We know, that x% equals 83.06 of the output value, so we can write it down as x%=83.06.
5. Now we have two simple equations:
1) 100%=100
2) x%=83.06
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:
100%/x%=100/83.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.06 is what percent of 100

100%/x%=100/83.06
(100/x)*x=(100/83.06)*x       - we multiply both sides of the equation by x
100=1.2039489525644*x       - we divide both sides of the equation by (1.2039489525644) to get x
100/1.2039489525644=x
83.06=x
x=83.06

now we have:
83.06 is 83.06% of 100