233.4 is what percent of 295.8 - 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 295.8 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 295.8, so we can write it down as 100%=295.8.
4. We know, that x% equals 233.4 of the output value, so we can write it down as x%=233.4.
5. Now we have two simple equations:
1) 100%=295.8
2) x%=233.4
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%=295.8/233.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.4 is what percent of 295.8

100%/x%=295.8/233.4
(100/x)*x=(295.8/233.4)*x       - we multiply both sides of the equation by x
100=1.26735218509*x       - we divide both sides of the equation by (1.26735218509) to get x
100/1.26735218509=x
78.904665314402=x
x=78.904665314402

now we have:
233.4 is 78.904665314402% of 295.8