12.6 is what percent of 252.4 - 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 252.4 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 252.4, so we can write it down as 100%=252.4.
4. We know, that x% equals 12.6 of the output value, so we can write it down as x%=12.6.
5. Now we have two simple equations:
1) 100%=252.4
2) x%=12.6
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%=252.4/12.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.6 is what percent of 252.4

100%/x%=252.4/12.6
(100/x)*x=(252.4/12.6)*x       - we multiply both sides of the equation by x
100=20.031746031746*x       - we divide both sides of the equation by (20.031746031746) to get x
100/20.031746031746=x
4.9920760697306=x
x=4.9920760697306

now we have:
12.6 is 4.9920760697306% of 252.4