1.16 is what percent of 77.55 - 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 77.55 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 77.55, so we can write it down as 100%=77.55.
4. We know, that x% equals 1.16 of the output value, so we can write it down as x%=1.16.
5. Now we have two simple equations:
1) 100%=77.55
2) x%=1.16
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%=77.55/1.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.16 is what percent of 77.55

100%/x%=77.55/1.16
(100/x)*x=(77.55/1.16)*x       - we multiply both sides of the equation by x
100=66.853448275862*x       - we divide both sides of the equation by (66.853448275862) to get x
100/66.853448275862=x
1.4958091553836=x
x=1.4958091553836

now we have:
1.16 is 1.4958091553836% of 77.55