11.5 is what percent of 15.37 - 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 15.37 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 15.37, so we can write it down as 100%=15.37.
4. We know, that x% equals 11.5 of the output value, so we can write it down as x%=11.5.
5. Now we have two simple equations:
1) 100%=15.37
2) x%=11.5
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%=15.37/11.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.5 is what percent of 15.37

100%/x%=15.37/11.5
(100/x)*x=(15.37/11.5)*x       - we multiply both sides of the equation by x
100=1.3365217391304*x       - we divide both sides of the equation by (1.3365217391304) to get x
100/1.3365217391304=x
74.821080026025=x
x=74.821080026025

now we have:
11.5 is 74.821080026025% of 15.37