230.55 is what percent of 3832.79 - 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 3832.79 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 3832.79, so we can write it down as 100%=3832.79.
4. We know, that x% equals 230.55 of the output value, so we can write it down as x%=230.55.
5. Now we have two simple equations:
1) 100%=3832.79
2) x%=230.55
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%=3832.79/230.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.55 is what percent of 3832.79

100%/x%=3832.79/230.55
(100/x)*x=(3832.79/230.55)*x       - we multiply both sides of the equation by x
100=16.624549989156*x       - we divide both sides of the equation by (16.624549989156) to get x
100/16.624549989156=x
6.0152004153632=x
x=6.0152004153632

now we have:
230.55 is 6.0152004153632% of 3832.79