What is 86.55 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 is 100%, so we can write it down as 100=100%.
4. We know, that x is 86.55% of the output value, so we can write it down as x=86.55%.
5. Now we have two simple equations:
1) 100=100%
2) x=86.55%
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%/86.55%
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 86.55% of 100

100/x=100/86.55
(100/x)*x=(100/86.55)*x       - we multiply both sides of the equation by x
100=1.155401502022*x       - we divide both sides of the equation by (1.155401502022) to get x
100/1.155401502022=x
86.55=x
x=86.55

now we have:
86.55% of 100=86.55