239.21 is what percent of 475 - 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 475 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 475, so we can write it down as 100%=475.
4. We know, that x% equals 239.21 of the output value, so we can write it down as x%=239.21.
5. Now we have two simple equations:
1) 100%=475
2) x%=239.21
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%=475/239.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 239.21 is what percent of 475

100%/x%=475/239.21
(100/x)*x=(475/239.21)*x       - we multiply both sides of the equation by x
100=1.9857029388403*x       - we divide both sides of the equation by (1.9857029388403) to get x
100/1.9857029388403=x
50.36=x
x=50.36

now we have:
239.21 is 50.36% of 475