13.63 is what percent of 95.45 - 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 95.45 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 95.45, so we can write it down as 100%=95.45.
4. We know, that x% equals 13.63 of the output value, so we can write it down as x%=13.63.
5. Now we have two simple equations:
1) 100%=95.45
2) x%=13.63
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%=95.45/13.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.63 is what percent of 95.45

100%/x%=95.45/13.63
(100/x)*x=(95.45/13.63)*x       - we multiply both sides of the equation by x
100=7.0029347028613*x       - we divide both sides of the equation by (7.0029347028613) to get x
100/7.0029347028613=x
14.279727606076=x
x=14.279727606076

now we have:
13.63 is 14.279727606076% of 95.45