530.96 is what percent of 4135.05 - 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 4135.05 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 4135.05, so we can write it down as 100%=4135.05.
4. We know, that x% equals 530.96 of the output value, so we can write it down as x%=530.96.
5. Now we have two simple equations:
1) 100%=4135.05
2) x%=530.96
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%=4135.05/530.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 530.96 is what percent of 4135.05

100%/x%=4135.05/530.96
(100/x)*x=(4135.05/530.96)*x       - we multiply both sides of the equation by x
100=7.7878747928281*x       - we divide both sides of the equation by (7.7878747928281) to get x
100/7.7878747928281=x
12.840473513017=x
x=12.840473513017

now we have:
530.96 is 12.840473513017% of 4135.05