230.11 is what percent of 3711.36 - 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 3711.36 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 3711.36, so we can write it down as 100%=3711.36.
4. We know, that x% equals 230.11 of the output value, so we can write it down as x%=230.11.
5. Now we have two simple equations:
1) 100%=3711.36
2) x%=230.11
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%=3711.36/230.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.11 is what percent of 3711.36

100%/x%=3711.36/230.11
(100/x)*x=(3711.36/230.11)*x       - we multiply both sides of the equation by x
100=16.128634131502*x       - we divide both sides of the equation by (16.128634131502) to get x
100/16.128634131502=x
6.2001530436282=x
x=6.2001530436282

now we have:
230.11 is 6.2001530436282% of 3711.36