8.84 is what percent of 257.81 - 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 257.81 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 257.81, so we can write it down as 100%=257.81.
4. We know, that x% equals 8.84 of the output value, so we can write it down as x%=8.84.
5. Now we have two simple equations:
1) 100%=257.81
2) x%=8.84
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%=257.81/8.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.84 is what percent of 257.81

100%/x%=257.81/8.84
(100/x)*x=(257.81/8.84)*x       - we multiply both sides of the equation by x
100=29.164027149321*x       - we divide both sides of the equation by (29.164027149321) to get x
100/29.164027149321=x
3.4288817346108=x
x=3.4288817346108

now we have:
8.84 is 3.4288817346108% of 257.81