238.7 is what percent of 363 - 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 363 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 363, so we can write it down as 100%=363.
4. We know, that x% equals 238.7 of the output value, so we can write it down as x%=238.7.
5. Now we have two simple equations:
1) 100%=363
2) x%=238.7
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%=363/238.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.7 is what percent of 363

100%/x%=363/238.7
(100/x)*x=(363/238.7)*x       - we multiply both sides of the equation by x
100=1.5207373271889*x       - we divide both sides of the equation by (1.5207373271889) to get x
100/1.5207373271889=x
65.757575757576=x
x=65.757575757576

now we have:
238.7 is 65.757575757576% of 363