230.35 is what percent of 368.5 - 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 368.5 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 368.5, so we can write it down as 100%=368.5.
4. We know, that x% equals 230.35 of the output value, so we can write it down as x%=230.35.
5. Now we have two simple equations:
1) 100%=368.5
2) x%=230.35
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%=368.5/230.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.35 is what percent of 368.5

100%/x%=368.5/230.35
(100/x)*x=(368.5/230.35)*x       - we multiply both sides of the equation by x
100=1.599739526807*x       - we divide both sides of the equation by (1.599739526807) to get x
100/1.599739526807=x
62.510176390773=x
x=62.510176390773

now we have:
230.35 is 62.510176390773% of 368.5