39.82 is what percent of 230.12 - 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 230.12 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 230.12, so we can write it down as 100%=230.12.
4. We know, that x% equals 39.82 of the output value, so we can write it down as x%=39.82.
5. Now we have two simple equations:
1) 100%=230.12
2) x%=39.82
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%=230.12/39.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.82 is what percent of 230.12

100%/x%=230.12/39.82
(100/x)*x=(230.12/39.82)*x       - we multiply both sides of the equation by x
100=5.7790055248619*x       - we divide both sides of the equation by (5.7790055248619) to get x
100/5.7790055248619=x
17.304015296367=x
x=17.304015296367

now we have:
39.82 is 17.304015296367% of 230.12