50.35 is what percent of 374.38 - 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 374.38 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 374.38, so we can write it down as 100%=374.38.
4. We know, that x% equals 50.35 of the output value, so we can write it down as x%=50.35.
5. Now we have two simple equations:
1) 100%=374.38
2) x%=50.35
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%=374.38/50.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.35 is what percent of 374.38

100%/x%=374.38/50.35
(100/x)*x=(374.38/50.35)*x       - we multiply both sides of the equation by x
100=7.435551142006*x       - we divide both sides of the equation by (7.435551142006) to get x
100/7.435551142006=x
13.448902184946=x
x=13.448902184946

now we have:
50.35 is 13.448902184946% of 374.38