12.38 is what percent of 147.83 - 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 147.83 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 147.83, so we can write it down as 100%=147.83.
4. We know, that x% equals 12.38 of the output value, so we can write it down as x%=12.38.
5. Now we have two simple equations:
1) 100%=147.83
2) x%=12.38
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%=147.83/12.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.38 is what percent of 147.83

100%/x%=147.83/12.38
(100/x)*x=(147.83/12.38)*x       - we multiply both sides of the equation by x
100=11.941033925687*x       - we divide both sides of the equation by (11.941033925687) to get x
100/11.941033925687=x
8.3744842048299=x
x=8.3744842048299

now we have:
12.38 is 8.3744842048299% of 147.83