91.06 is what percent of 77.45 - 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 77.45 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 77.45, so we can write it down as 100%=77.45.
4. We know, that x% equals 91.06 of the output value, so we can write it down as x%=91.06.
5. Now we have two simple equations:
1) 100%=77.45
2) x%=91.06
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%=77.45/91.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.06 is what percent of 77.45

100%/x%=77.45/91.06
(100/x)*x=(77.45/91.06)*x       - we multiply both sides of the equation by x
100=0.85053810674281*x       - we divide both sides of the equation by (0.85053810674281) to get x
100/0.85053810674281=x
117.57262750161=x
x=117.57262750161

now we have:
91.06 is 117.57262750161% of 77.45