40 is what percent of 12600 - 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 12600 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 12600, so we can write it down as 100%=12600.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=12600
2) x%=40
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%=12600/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 12600

100%/x%=12600/40
(100/x)*x=(12600/40)*x       - we multiply both sides of the equation by x
100=315*x       - we divide both sides of the equation by (315) to get x
100/315=x
0.31746031746032=x
x=0.31746031746032

now we have:
40 is 0.31746031746032% of 12600