345.14 is what percent of 638.92 - 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 638.92 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 638.92, so we can write it down as 100%=638.92.
4. We know, that x% equals 345.14 of the output value, so we can write it down as x%=345.14.
5. Now we have two simple equations:
1) 100%=638.92
2) x%=345.14
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%=638.92/345.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.14 is what percent of 638.92

100%/x%=638.92/345.14
(100/x)*x=(638.92/345.14)*x       - we multiply both sides of the equation by x
100=1.8511908211161*x       - we divide both sides of the equation by (1.8511908211161) to get x
100/1.8511908211161=x
54.019282539285=x
x=54.019282539285

now we have:
345.14 is 54.019282539285% of 638.92