4.12 is what percent of 52.6 - 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 52.6 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 52.6, so we can write it down as 100%=52.6.
4. We know, that x% equals 4.12 of the output value, so we can write it down as x%=4.12.
5. Now we have two simple equations:
1) 100%=52.6
2) x%=4.12
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%=52.6/4.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.12 is what percent of 52.6

100%/x%=52.6/4.12
(100/x)*x=(52.6/4.12)*x       - we multiply both sides of the equation by x
100=12.766990291262*x       - we divide both sides of the equation by (12.766990291262) to get x
100/12.766990291262=x
7.8326996197719=x
x=7.8326996197719

now we have:
4.12 is 7.8326996197719% of 52.6