12.57 is what percent of 150 - 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 150 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 150, so we can write it down as 100%=150.
4. We know, that x% equals 12.57 of the output value, so we can write it down as x%=12.57.
5. Now we have two simple equations:
1) 100%=150
2) x%=12.57
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%=150/12.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.57 is what percent of 150

100%/x%=150/12.57
(100/x)*x=(150/12.57)*x       - we multiply both sides of the equation by x
100=11.933174224344*x       - we divide both sides of the equation by (11.933174224344) to get x
100/11.933174224344=x
8.38=x
x=8.38

now we have:
12.57 is 8.38% of 150