13.35 is what percent of 24.327 - 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 24.327 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 24.327, so we can write it down as 100%=24.327.
4. We know, that x% equals 13.35 of the output value, so we can write it down as x%=13.35.
5. Now we have two simple equations:
1) 100%=24.327
2) x%=13.35
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%=24.327/13.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.35 is what percent of 24.327

100%/x%=24.327/13.35
(100/x)*x=(24.327/13.35)*x       - we multiply both sides of the equation by x
100=1.8222471910112*x       - we divide both sides of the equation by (1.8222471910112) to get x
100/1.8222471910112=x
54.877296830682=x
x=54.877296830682

now we have:
13.35 is 54.877296830682% of 24.327