13.55 is what percent of 102.68 - 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 102.68 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 102.68, so we can write it down as 100%=102.68.
4. We know, that x% equals 13.55 of the output value, so we can write it down as x%=13.55.
5. Now we have two simple equations:
1) 100%=102.68
2) x%=13.55
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%=102.68/13.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.55 is what percent of 102.68

100%/x%=102.68/13.55
(100/x)*x=(102.68/13.55)*x       - we multiply both sides of the equation by x
100=7.5778597785978*x       - we divide both sides of the equation by (7.5778597785978) to get x
100/7.5778597785978=x
13.196338137904=x
x=13.196338137904

now we have:
13.55 is 13.196338137904% of 102.68