42.35 is what percent of 318.9 - 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 318.9 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 318.9, so we can write it down as 100%=318.9.
4. We know, that x% equals 42.35 of the output value, so we can write it down as x%=42.35.
5. Now we have two simple equations:
1) 100%=318.9
2) x%=42.35
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%=318.9/42.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.35 is what percent of 318.9

100%/x%=318.9/42.35
(100/x)*x=(318.9/42.35)*x       - we multiply both sides of the equation by x
100=7.530106257379*x       - we divide both sides of the equation by (7.530106257379) to get x
100/7.530106257379=x
13.280025086234=x
x=13.280025086234

now we have:
42.35 is 13.280025086234% of 318.9