579.7 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 579.7 of the output value, so we can write it down as x%=579.7.
5. Now we have two simple equations:
1) 100%=12500
2) x%=579.7
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%=12500/579.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 579.7 is what percent of 12500

100%/x%=12500/579.7
(100/x)*x=(12500/579.7)*x       - we multiply both sides of the equation by x
100=21.562877350354*x       - we divide both sides of the equation by (21.562877350354) to get x
100/21.562877350354=x
4.6376=x
x=4.6376

now we have:
579.7 is 4.6376% of 12500