312.43 is what percent of 124.97 - 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 124.97 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 124.97, so we can write it down as 100%=124.97.
4. We know, that x% equals 312.43 of the output value, so we can write it down as x%=312.43.
5. Now we have two simple equations:
1) 100%=124.97
2) x%=312.43
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%=124.97/312.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.43 is what percent of 124.97

100%/x%=124.97/312.43
(100/x)*x=(124.97/312.43)*x       - we multiply both sides of the equation by x
100=0.39999359856608*x       - we divide both sides of the equation by (0.39999359856608) to get x
100/0.39999359856608=x
250.00400096023=x
x=250.00400096023

now we have:
312.43 is 250.00400096023% of 124.97