615.8 is what percent of 1250.08 - 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 1250.08 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 1250.08, so we can write it down as 100%=1250.08.
4. We know, that x% equals 615.8 of the output value, so we can write it down as x%=615.8.
5. Now we have two simple equations:
1) 100%=1250.08
2) x%=615.8
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%=1250.08/615.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 615.8 is what percent of 1250.08

100%/x%=1250.08/615.8
(100/x)*x=(1250.08/615.8)*x       - we multiply both sides of the equation by x
100=2.0300097434232*x       - we divide both sides of the equation by (2.0300097434232) to get x
100/2.0300097434232=x
49.260847305772=x
x=49.260847305772

now we have:
615.8 is 49.260847305772% of 1250.08