235.2 is what percent of 291 - 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 291 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 291, so we can write it down as 100%=291.
4. We know, that x% equals 235.2 of the output value, so we can write it down as x%=235.2.
5. Now we have two simple equations:
1) 100%=291
2) x%=235.2
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%=291/235.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.2 is what percent of 291

100%/x%=291/235.2
(100/x)*x=(291/235.2)*x       - we multiply both sides of the equation by x
100=1.2372448979592*x       - we divide both sides of the equation by (1.2372448979592) to get x
100/1.2372448979592=x
80.824742268041=x
x=80.824742268041

now we have:
235.2 is 80.824742268041% of 291