235.23 is what percent of 804.96 - 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 804.96 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 804.96, so we can write it down as 100%=804.96.
4. We know, that x% equals 235.23 of the output value, so we can write it down as x%=235.23.
5. Now we have two simple equations:
1) 100%=804.96
2) x%=235.23
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%=804.96/235.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.23 is what percent of 804.96

100%/x%=804.96/235.23
(100/x)*x=(804.96/235.23)*x       - we multiply both sides of the equation by x
100=3.4220124984058*x       - we divide both sides of the equation by (3.4220124984058) to get x
100/3.4220124984058=x
29.222570065593=x
x=29.222570065593

now we have:
235.23 is 29.222570065593% of 804.96