90.91 is what percent of 239.82 - 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 239.82 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 239.82, so we can write it down as 100%=239.82.
4. We know, that x% equals 90.91 of the output value, so we can write it down as x%=90.91.
5. Now we have two simple equations:
1) 100%=239.82
2) x%=90.91
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%=239.82/90.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.91 is what percent of 239.82

100%/x%=239.82/90.91
(100/x)*x=(239.82/90.91)*x       - we multiply both sides of the equation by x
100=2.6379936200638*x       - we divide both sides of the equation by (2.6379936200638) to get x
100/2.6379936200638=x
37.90759736469=x
x=37.90759736469

now we have:
90.91 is 37.90759736469% of 239.82