235.96 is what percent of 298.37 - 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 298.37 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 298.37, so we can write it down as 100%=298.37.
4. We know, that x% equals 235.96 of the output value, so we can write it down as x%=235.96.
5. Now we have two simple equations:
1) 100%=298.37
2) x%=235.96
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%=298.37/235.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.96 is what percent of 298.37

100%/x%=298.37/235.96
(100/x)*x=(298.37/235.96)*x       - we multiply both sides of the equation by x
100=1.2644939820309*x       - we divide both sides of the equation by (1.2644939820309) to get x
100/1.2644939820309=x
79.083017729665=x
x=79.083017729665

now we have:
235.96 is 79.083017729665% of 298.37