12.6 is what percent of 1453.16 - 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 1453.16 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 1453.16, so we can write it down as 100%=1453.16.
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%=1453.16
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%=1453.16/12.6
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 1453.16

100%/x%=1453.16/12.6
(100/x)*x=(1453.16/12.6)*x       - we multiply both sides of the equation by x
100=115.33015873016*x       - we divide both sides of the equation by (115.33015873016) to get x
100/115.33015873016=x
0.86707588978502=x
x=0.86707588978502

now we have:
12.6 is 0.86707588978502% of 1453.16