78.11 is what percent of 295 - 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 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, so we can write it down as 100%=295.
4. We know, that x% equals 78.11 of the output value, so we can write it down as x%=78.11.
5. Now we have two simple equations:
1) 100%=295
2) x%=78.11
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%=295/78.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.11 is what percent of 295

100%/x%=295/78.11
(100/x)*x=(295/78.11)*x       - we multiply both sides of the equation by x
100=3.7767251312252*x       - we divide both sides of the equation by (3.7767251312252) to get x
100/3.7767251312252=x
26.477966101695=x
x=26.477966101695

now we have:
78.11 is 26.477966101695% of 295