What is 77.333 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 77.333% of the output value, so we can write it down as x=77.333%.
5. Now we have two simple equations:
1) 116=100%
2) x=77.333%
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%/77.333%
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 77.333% of 116

116/x=100/77.333
(116/x)*x=(100/77.333)*x       - we multiply both sides of the equation by x
116=1.2931090220216*x       - we divide both sides of the equation by (1.2931090220216) to get x
116/1.2931090220216=x
89.70628=x
x=89.70628

now we have:
77.333% of 116=89.70628