407.02 is what percent of 12500 - 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 12500 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 12500, so we can write it down as 100%=12500.
4. We know, that x% equals 407.02 of the output value, so we can write it down as x%=407.02.
5. Now we have two simple equations:
1) 100%=12500
2) x%=407.02
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%=12500/407.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.02 is what percent of 12500

100%/x%=12500/407.02
(100/x)*x=(12500/407.02)*x       - we multiply both sides of the equation by x
100=30.711021571422*x       - we divide both sides of the equation by (30.711021571422) to get x
100/30.711021571422=x
3.25616=x
x=3.25616

now we have:
407.02 is 3.25616% of 12500