8.78 is what percent of 292 - 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 292 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 292, so we can write it down as 100%=292.
4. We know, that x% equals 8.78 of the output value, so we can write it down as x%=8.78.
5. Now we have two simple equations:
1) 100%=292
2) x%=8.78
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%=292/8.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.78 is what percent of 292

100%/x%=292/8.78
(100/x)*x=(292/8.78)*x       - we multiply both sides of the equation by x
100=33.257403189066*x       - we divide both sides of the equation by (33.257403189066) to get x
100/33.257403189066=x
3.0068493150685=x
x=3.0068493150685

now we have:
8.78 is 3.0068493150685% of 292