What is 85.78 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 85.78% of the output value, so we can write it down as x=85.78%.
5. Now we have two simple equations:
1) 100=100%
2) x=85.78%
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%/85.78%
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 85.78% of 100

100/x=100/85.78
(100/x)*x=(100/85.78)*x       - we multiply both sides of the equation by x
100=1.1657729074376*x       - we divide both sides of the equation by (1.1657729074376) to get x
100/1.1657729074376=x
85.78=x
x=85.78

now we have:
85.78% of 100=85.78