0.79 is what percent of 115.85 - 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 115.85 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 115.85, so we can write it down as 100%=115.85.
4. We know, that x% equals 0.79 of the output value, so we can write it down as x%=0.79.
5. Now we have two simple equations:
1) 100%=115.85
2) x%=0.79
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%=115.85/0.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.79 is what percent of 115.85

100%/x%=115.85/0.79
(100/x)*x=(115.85/0.79)*x       - we multiply both sides of the equation by x
100=146.64556962025*x       - we divide both sides of the equation by (146.64556962025) to get x
100/146.64556962025=x
0.68191627104014=x
x=0.68191627104014

now we have:
0.79 is 0.68191627104014% of 115.85