13.07 is what percent of 23.78 - 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 23.78 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 23.78, so we can write it down as 100%=23.78.
4. We know, that x% equals 13.07 of the output value, so we can write it down as x%=13.07.
5. Now we have two simple equations:
1) 100%=23.78
2) x%=13.07
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%=23.78/13.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.07 is what percent of 23.78

100%/x%=23.78/13.07
(100/x)*x=(23.78/13.07)*x       - we multiply both sides of the equation by x
100=1.8194338179036*x       - we divide both sides of the equation by (1.8194338179036) to get x
100/1.8194338179036=x
54.962153069807=x
x=54.962153069807

now we have:
13.07 is 54.962153069807% of 23.78