11.45 is what percent of 13.64 - 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 13.64 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 13.64, so we can write it down as 100%=13.64.
4. We know, that x% equals 11.45 of the output value, so we can write it down as x%=11.45.
5. Now we have two simple equations:
1) 100%=13.64
2) x%=11.45
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%=13.64/11.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.45 is what percent of 13.64

100%/x%=13.64/11.45
(100/x)*x=(13.64/11.45)*x       - we multiply both sides of the equation by x
100=1.1912663755459*x       - we divide both sides of the equation by (1.1912663755459) to get x
100/1.1912663755459=x
83.944281524927=x
x=83.944281524927

now we have:
11.45 is 83.944281524927% of 13.64