312000000.5 is what percent of 125000000 - 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 125000000 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 125000000, so we can write it down as 100%=125000000.
4. We know, that x% equals 312000000.5 of the output value, so we can write it down as x%=312000000.5.
5. Now we have two simple equations:
1) 100%=125000000
2) x%=312000000.5
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%=125000000/312000000.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312000000.5 is what percent of 125000000

100%/x%=125000000/312000000.5
(100/x)*x=(125000000/312000000.5)*x       - we multiply both sides of the equation by x
100=0.40064102499897*x       - we divide both sides of the equation by (0.40064102499897) to get x
100/0.40064102499897=x
249.6000004=x
x=249.6000004

now we have:
312000000.5 is 249.6000004% of 125000000