236.8 is what percent of 295.5 - 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 295.5 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 295.5, so we can write it down as 100%=295.5.
4. We know, that x% equals 236.8 of the output value, so we can write it down as x%=236.8.
5. Now we have two simple equations:
1) 100%=295.5
2) x%=236.8
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%=295.5/236.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 236.8 is what percent of 295.5

100%/x%=295.5/236.8
(100/x)*x=(295.5/236.8)*x       - we multiply both sides of the equation by x
100=1.2478885135135*x       - we divide both sides of the equation by (1.2478885135135) to get x
100/1.2478885135135=x
80.135363790186=x
x=80.135363790186

now we have:
236.8 is 80.135363790186% of 295.5