13.76 is what percent of 115.93 - 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 115.93 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 115.93, so we can write it down as 100%=115.93.
4. We know, that x% equals 13.76 of the output value, so we can write it down as x%=13.76.
5. Now we have two simple equations:
1) 100%=115.93
2) x%=13.76
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%=115.93/13.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.76 is what percent of 115.93

100%/x%=115.93/13.76
(100/x)*x=(115.93/13.76)*x       - we multiply both sides of the equation by x
100=8.4251453488372*x       - we divide both sides of the equation by (8.4251453488372) to get x
100/8.4251453488372=x
11.869231432761=x
x=11.869231432761

now we have:
13.76 is 11.869231432761% of 115.93