What is 77.58625 percent of 116 - 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 116 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 116 is 100%, so we can write it down as 116=100%.
4. We know, that x is 77.58625% of the output value, so we can write it down as x=77.58625%.
5. Now we have two simple equations:
1) 116=100%
2) x=77.58625%
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:
116/x=100%/77.58625%
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 77.58625% of 116

116/x=100/77.58625
(116/x)*x=(100/77.58625)*x       - we multiply both sides of the equation by x
116=1.2888881728399*x       - we divide both sides of the equation by (1.2888881728399) to get x
116/1.2888881728399=x
90.00005=x
x=90.00005

now we have:
77.58625% of 116=90.00005