230.77 is what percent of 4615.38 - 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 4615.38 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 4615.38, so we can write it down as 100%=4615.38.
4. We know, that x% equals 230.77 of the output value, so we can write it down as x%=230.77.
5. Now we have two simple equations:
1) 100%=4615.38
2) x%=230.77
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%=4615.38/230.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.77 is what percent of 4615.38

100%/x%=4615.38/230.77
(100/x)*x=(4615.38/230.77)*x       - we multiply both sides of the equation by x
100=19.999913333622*x       - we divide both sides of the equation by (19.999913333622) to get x
100/19.999913333622=x
5.0000216666883=x
x=5.0000216666883

now we have:
230.77 is 5.0000216666883% of 4615.38