8.79 is what percent of 348.25 - 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 348.25 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 348.25, so we can write it down as 100%=348.25.
4. We know, that x% equals 8.79 of the output value, so we can write it down as x%=8.79.
5. Now we have two simple equations:
1) 100%=348.25
2) x%=8.79
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%=348.25/8.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.79 is what percent of 348.25

100%/x%=348.25/8.79
(100/x)*x=(348.25/8.79)*x       - we multiply both sides of the equation by x
100=39.618885096701*x       - we divide both sides of the equation by (39.618885096701) to get x
100/39.618885096701=x
2.5240488155061=x
x=2.5240488155061

now we have:
8.79 is 2.5240488155061% of 348.25