292.9 is what percent of 3.008 - 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 3.008 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 3.008, so we can write it down as 100%=3.008.
4. We know, that x% equals 292.9 of the output value, so we can write it down as x%=292.9.
5. Now we have two simple equations:
1) 100%=3.008
2) x%=292.9
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%=3.008/292.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 292.9 is what percent of 3.008

100%/x%=3.008/292.9
(100/x)*x=(3.008/292.9)*x       - we multiply both sides of the equation by x
100=0.010269716626835*x       - we divide both sides of the equation by (0.010269716626835) to get x
100/0.010269716626835=x
9737.3670212766=x
x=9737.3670212766

now we have:
292.9 is 9737.3670212766% of 3.008