91.2 is what percent of 115.77 - 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 115.77 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 115.77, so we can write it down as 100%=115.77.
4. We know, that x% equals 91.2 of the output value, so we can write it down as x%=91.2.
5. Now we have two simple equations:
1) 100%=115.77
2) x%=91.2
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%=115.77/91.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.2 is what percent of 115.77

100%/x%=115.77/91.2
(100/x)*x=(115.77/91.2)*x       - we multiply both sides of the equation by x
100=1.2694078947368*x       - we divide both sides of the equation by (1.2694078947368) to get x
100/1.2694078947368=x
78.776885203421=x
x=78.776885203421

now we have:
91.2 is 78.776885203421% of 115.77